docs/demos/fake_backend_info.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "outputs": [],
   "source": [
    "from qiskit.providers.fake_provider import FakeLima, FakeBelem\n",
    "from qiskit.providers.aer.noise import NoiseModel\n",
    "from qiskit.quantum_info import average_gate_fidelity, process_fidelity, PTM\n",
    "\n",
    "from qiskit_aer import AerSimulator, QasmSimulator\n",
    "import sys\n",
    "sys.path.append('../tutorials/')\n",
    "from noise_utils import AddNoise\n",
    "\n",
    "from blackwater.data.utils import (\n",
    "    get_backend_properties_v1,\n",
    ")\n",
    "\n",
    "import qiskit, random, os\n",
    "from qiskit import QuantumCircuit\n",
    "from qiskit.compiler import transpile\n",
    "from qiskit_aer import AerSimulator, QasmSimulator\n",
    "from qiskit.converters import circuit_to_dag, dag_to_circuit\n",
    "from qiskit_aer.noise import depolarizing_error, coherent_unitary_error, mixed_unitary_error, thermal_relaxation_error\n",
    "from qiskit.providers.aer.noise import NoiseModel, mixed_unitary_error, pauli_error\n",
    "from qiskit.quantum_info import SparsePauliOp, Operator\n",
    "from qiskit.circuit.library import CXGate, RXGate, IGate, ZGate, RZXGate, RZZGate\n",
    "from qiskit.providers.fake_provider import FakeMontreal, FakeLima\n",
    "import itertools\n",
    "\n",
    "from qiskit_aer import AerSimulator, QasmSimulator\n",
    "\n",
    "import numpy as np"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-07-24T19:20:55.005981Z",
     "start_time": "2024-07-24T19:20:54.981398Z"
    }
   },
   "id": "8e7515a3f86a4302",
   "execution_count": 4
  },
  {
   "cell_type": "code",
   "outputs": [
    {
     "data": {
      "text/plain": "{'backend_name': 'ibmq_lima',\n 'backend_version': '1.0.5',\n 'last_update_date': datetime.datetime(2021, 3, 15, 0, 36, 3, tzinfo=tzoffset(None, -14400)),\n 'qubits': [[{'date': datetime.datetime(2021, 3, 15, 0, 9, 11, tzinfo=tzoffset(None, -14400)),\n    'name': 'T1',\n    'unit': 'us',\n    'value': 59.69864328663569},\n   {'date': datetime.datetime(2021, 3, 15, 0, 9, 44, tzinfo=tzoffset(None, -14400)),\n    'name': 'T2',\n    'unit': 'us',\n    'value': 93.55584184359311},\n   {'date': datetime.datetime(2021, 3, 15, 0, 36, 3, tzinfo=tzoffset(None, -14400)),\n    'name': 'frequency',\n    'unit': 'GHz',\n    'value': 5.02968554992376},\n   {'date': datetime.datetime(2021, 3, 15, 0, 36, 3, tzinfo=tzoffset(None, -14400)),\n    'name': 'anharmonicity',\n    'unit': 'GHz',\n    'value': -0.33574155258829724},\n   {'date': datetime.datetime(2021, 3, 15, 0, 8, 49, tzinfo=tzoffset(None, -14400)),\n    'name': 'readout_error',\n    'unit': '',\n    'value': 0.026100000000000012},\n   {'date': datetime.datetime(2021, 3, 15, 0, 8, 49, tzinfo=tzoffset(None, -14400)),\n    'name': 'prob_meas0_prep1',\n    'unit': '',\n    'value': 0.0404},\n   {'date': datetime.datetime(2021, 3, 15, 0, 8, 49, tzinfo=tzoffset(None, -14400)),\n    'name': 'prob_meas1_prep0',\n    'unit': '',\n    'value': 0.011800000000000033},\n   {'date': datetime.datetime(2021, 3, 15, 0, 8, 49, tzinfo=tzoffset(None, -14400)),\n    'name': 'readout_length',\n    'unit': 'ns',\n    'value': 5351.11111111111}],\n  [{'date': datetime.datetime(2021, 3, 15, 0, 9, 11, tzinfo=tzoffset(None, -14400)),\n    'name': 'T1',\n    'unit': 'us',\n    'value': 83.05997230317399},\n   {'date': datetime.datetime(2021, 3, 15, 0, 10, 43, tzinfo=tzoffset(None, -14400)),\n    'name': 'T2',\n    'unit': 'us',\n    'value': 115.53074510239036},\n   {'date': datetime.datetime(2021, 3, 15, 0, 36, 3, tzinfo=tzoffset(None, -14400)),\n    'name': 'frequency',\n    'unit': 'GHz',\n    'value': 5.128321697435369},\n   {'date': datetime.datetime(2021, 3, 15, 0, 36, 3, tzinfo=tzoffset(None, -14400)),\n    'name': 'anharmonicity',\n    'unit': 'GHz',\n    'value': -0.3183491230373718},\n   {'date': datetime.datetime(2021, 3, 15, 0, 8, 49, tzinfo=tzoffset(None, -14400)),\n    'name': 'readout_error',\n    'unit': '',\n    'value': 0.020000000000000018},\n   {'date': datetime.datetime(2021, 3, 15, 0, 8, 49, tzinfo=tzoffset(None, -14400)),\n    'name': 'prob_meas0_prep1',\n    'unit': '',\n    'value': 0.028800000000000048},\n   {'date': datetime.datetime(2021, 3, 15, 0, 8, 49, tzinfo=tzoffset(None, -14400)),\n    'name': 'prob_meas1_prep0',\n    'unit': '',\n    'value': 0.0112},\n   {'date': datetime.datetime(2021, 3, 15, 0, 8, 49, tzinfo=tzoffset(None, -14400)),\n    'name': 'readout_length',\n    'unit': 'ns',\n    'value': 5351.11111111111}],\n  [{'date': datetime.datetime(2021, 3, 15, 0, 9, 11, tzinfo=tzoffset(None, -14400)),\n    'name': 'T1',\n    'unit': 'us',\n    'value': 103.77694598809795},\n   {'date': datetime.datetime(2021, 3, 15, 0, 9, 44, tzinfo=tzoffset(None, -14400)),\n    'name': 'T2',\n    'unit': 'us',\n    'value': 94.77169960638749},\n   {'date': datetime.datetime(2021, 3, 15, 0, 36, 3, tzinfo=tzoffset(None, -14400)),\n    'name': 'frequency',\n    'unit': 'GHz',\n    'value': 5.24749131011471},\n   {'date': datetime.datetime(2021, 3, 15, 0, 36, 3, tzinfo=tzoffset(None, -14400)),\n    'name': 'anharmonicity',\n    'unit': 'GHz',\n    'value': -0.3336036607926792},\n   {'date': datetime.datetime(2021, 3, 15, 0, 8, 49, tzinfo=tzoffset(None, -14400)),\n    'name': 'readout_error',\n    'unit': '',\n    'value': 0.016599999999999948},\n   {'date': datetime.datetime(2021, 3, 15, 0, 8, 49, tzinfo=tzoffset(None, -14400)),\n    'name': 'prob_meas0_prep1',\n    'unit': '',\n    'value': 0.026},\n   {'date': datetime.datetime(2021, 3, 15, 0, 8, 49, tzinfo=tzoffset(None, -14400)),\n    'name': 'prob_meas1_prep0',\n    'unit': '',\n    'value': 0.007199999999999984},\n   {'date': datetime.datetime(2021, 3, 15, 0, 8, 49, tzinfo=tzoffset(None, -14400)),\n    'name': 'readout_length',\n    'unit': 'ns',\n    'value': 5351.11111111111}],\n  [{'date': datetime.datetime(2021, 3, 15, 0, 9, 11, tzinfo=tzoffset(None, -14400)),\n    'name': 'T1',\n    'unit': 'us',\n    'value': 43.58447375590962},\n   {'date': datetime.datetime(2021, 3, 15, 0, 9, 44, tzinfo=tzoffset(None, -14400)),\n    'name': 'T2',\n    'unit': 'us',\n    'value': 46.45933441447346},\n   {'date': datetime.datetime(2021, 3, 15, 0, 36, 3, tzinfo=tzoffset(None, -14400)),\n    'name': 'frequency',\n    'unit': 'GHz',\n    'value': 5.303339662601714},\n   {'date': datetime.datetime(2021, 3, 15, 0, 36, 3, tzinfo=tzoffset(None, -14400)),\n    'name': 'anharmonicity',\n    'unit': 'GHz',\n    'value': -0.33124193185343576},\n   {'date': datetime.datetime(2021, 3, 15, 0, 8, 49, tzinfo=tzoffset(None, -14400)),\n    'name': 'readout_error',\n    'unit': '',\n    'value': 0.0515000000000001},\n   {'date': datetime.datetime(2021, 3, 15, 0, 8, 49, tzinfo=tzoffset(None, -14400)),\n    'name': 'prob_meas0_prep1',\n    'unit': '',\n    'value': 0.07820000000000005},\n   {'date': datetime.datetime(2021, 3, 15, 0, 8, 49, tzinfo=tzoffset(None, -14400)),\n    'name': 'prob_meas1_prep0',\n    'unit': '',\n    'value': 0.0248},\n   {'date': datetime.datetime(2021, 3, 15, 0, 8, 49, tzinfo=tzoffset(None, -14400)),\n    'name': 'readout_length',\n    'unit': 'ns',\n    'value': 5351.11111111111}],\n  [{'date': datetime.datetime(2021, 3, 15, 0, 9, 11, tzinfo=tzoffset(None, -14400)),\n    'name': 'T1',\n    'unit': 'us',\n    'value': 17.543975812787366},\n   {'date': datetime.datetime(2021, 3, 15, 0, 10, 43, tzinfo=tzoffset(None, -14400)),\n    'name': 'T2',\n    'unit': 'us',\n    'value': 16.441110002077735},\n   {'date': datetime.datetime(2021, 3, 15, 0, 36, 3, tzinfo=tzoffset(None, -14400)),\n    'name': 'frequency',\n    'unit': 'GHz',\n    'value': 5.091790567452984},\n   {'date': datetime.datetime(2021, 3, 15, 0, 36, 3, tzinfo=tzoffset(None, -14400)),\n    'name': 'anharmonicity',\n    'unit': 'GHz',\n    'value': -0.3344696566823515},\n   {'date': datetime.datetime(2021, 3, 15, 0, 8, 49, tzinfo=tzoffset(None, -14400)),\n    'name': 'readout_error',\n    'unit': '',\n    'value': 0.057499999999999996},\n   {'date': datetime.datetime(2021, 3, 15, 0, 8, 49, tzinfo=tzoffset(None, -14400)),\n    'name': 'prob_meas0_prep1',\n    'unit': '',\n    'value': 0.0958},\n   {'date': datetime.datetime(2021, 3, 15, 0, 8, 49, tzinfo=tzoffset(None, -14400)),\n    'name': 'prob_meas1_prep0',\n    'unit': '',\n    'value': 0.0192},\n   {'date': datetime.datetime(2021, 3, 15, 0, 8, 49, tzinfo=tzoffset(None, -14400)),\n    'name': 'readout_length',\n    'unit': 'ns',\n    'value': 5351.11111111111}]],\n 'gates': [{'qubits': [0],\n   'gate': 'id',\n   'parameters': [{'date': datetime.datetime(2021, 3, 15, 0, 11, 29, tzinfo=tzoffset(None, -14400)),\n     'name': 'gate_error',\n     'unit': '',\n     'value': 0.00019195510390342677},\n    {'date': datetime.datetime(2021, 3, 15, 0, 36, 3, tzinfo=tzoffset(None, -14400)),\n     'name': 'gate_length',\n     'unit': 'ns',\n     'value': 35.55555555555556}],\n   'name': 'id0'},\n  {'qubits': [1],\n   'gate': 'id',\n   'parameters': [{'date': datetime.datetime(2021, 3, 15, 0, 13, 23, tzinfo=tzoffset(None, -14400)),\n     'name': 'gate_error',\n     'unit': '',\n     'value': 0.00033064681663890665},\n    {'date': datetime.datetime(2021, 3, 15, 0, 36, 3, tzinfo=tzoffset(None, -14400)),\n     'name': 'gate_length',\n     'unit': 'ns',\n     'value': 35.55555555555556}],\n   'name': 'id1'},\n  {'qubits': [2],\n   'gate': 'id',\n   'parameters': [{'date': datetime.datetime(2021, 3, 15, 0, 11, 29, tzinfo=tzoffset(None, -14400)),\n     'name': 'gate_error',\n     'unit': '',\n     'value': 0.0001807726361160903},\n    {'date': datetime.datetime(2021, 3, 15, 0, 36, 3, tzinfo=tzoffset(None, -14400)),\n     'name': 'gate_length',\n     'unit': 'ns',\n     'value': 35.55555555555556}],\n   'name': 'id2'},\n  {'qubits': [3],\n   'gate': 'id',\n   'parameters': [{'date': datetime.datetime(2021, 3, 15, 0, 11, 29, tzinfo=tzoffset(None, -14400)),\n     'name': 'gate_error',\n     'unit': '',\n     'value': 0.0003925363414603665},\n    {'date': datetime.datetime(2021, 3, 15, 0, 36, 3, tzinfo=tzoffset(None, -14400)),\n     'name': 'gate_length',\n     'unit': 'ns',\n     'value': 35.55555555555556}],\n   'name': 'id3'},\n  {'qubits': [4],\n   'gate': 'id',\n   'parameters': [{'date': datetime.datetime(2021, 3, 15, 0, 13, 23, tzinfo=tzoffset(None, -14400)),\n     'name': 'gate_error',\n     'unit': '',\n     'value': 0.0006789531879417325},\n    {'date': datetime.datetime(2021, 3, 15, 0, 36, 3, tzinfo=tzoffset(None, -14400)),\n     'name': 'gate_length',\n     'unit': 'ns',\n     'value': 35.55555555555556}],\n   'name': 'id4'},\n  {'qubits': [0],\n   'gate': 'rz',\n   'parameters': [{'date': datetime.datetime(2021, 3, 15, 0, 36, 3, tzinfo=tzoffset(None, -14400)),\n     'name': 'gate_error',\n     'unit': '',\n     'value': 0},\n    {'date': datetime.datetime(2021, 3, 15, 0, 36, 3, tzinfo=tzoffset(None, -14400)),\n     'name': 'gate_length',\n     'unit': 'ns',\n     'value': 0}],\n   'name': 'rz0'},\n  {'qubits': [1],\n   'gate': 'rz',\n   'parameters': [{'date': datetime.datetime(2021, 3, 15, 0, 36, 3, tzinfo=tzoffset(None, -14400)),\n     'name': 'gate_error',\n     'unit': '',\n     'value': 0},\n    {'date': datetime.datetime(2021, 3, 15, 0, 36, 3, tzinfo=tzoffset(None, -14400)),\n     'name': 'gate_length',\n     'unit': 'ns',\n     'value': 0}],\n   'name': 'rz1'},\n  {'qubits': [2],\n   'gate': 'rz',\n   'parameters': [{'date': datetime.datetime(2021, 3, 15, 0, 36, 3, tzinfo=tzoffset(None, -14400)),\n     'name': 'gate_error',\n     'unit': '',\n     'value': 0},\n    {'date': datetime.datetime(2021, 3, 15, 0, 36, 3, tzinfo=tzoffset(None, -14400)),\n     'name': 'gate_length',\n     'unit': 'ns',\n     'value': 0}],\n   'name': 'rz2'},\n  {'qubits': [3],\n   'gate': 'rz',\n   'parameters': [{'date': datetime.datetime(2021, 3, 15, 0, 36, 3, tzinfo=tzoffset(None, -14400)),\n     'name': 'gate_error',\n     'unit': '',\n     'value': 0},\n    {'date': datetime.datetime(2021, 3, 15, 0, 36, 3, tzinfo=tzoffset(None, -14400)),\n     'name': 'gate_length',\n     'unit': 'ns',\n     'value': 0}],\n   'name': 'rz3'},\n  {'qubits': [4],\n   'gate': 'rz',\n   'parameters': [{'date': datetime.datetime(2021, 3, 15, 0, 36, 3, tzinfo=tzoffset(None, -14400)),\n     'name': 'gate_error',\n     'unit': '',\n     'value': 0},\n    {'date': datetime.datetime(2021, 3, 15, 0, 36, 3, tzinfo=tzoffset(None, -14400)),\n     'name': 'gate_length',\n     'unit': 'ns',\n     'value': 0}],\n   'name': 'rz4'},\n  {'qubits': [0],\n   'gate': 'sx',\n   'parameters': [{'date': datetime.datetime(2021, 3, 15, 0, 11, 29, tzinfo=tzoffset(None, -14400)),\n     'name': 'gate_error',\n     'unit': '',\n     'value': 0.00019195510390342677},\n    {'date': datetime.datetime(2021, 3, 15, 0, 36, 3, tzinfo=tzoffset(None, -14400)),\n     'name': 'gate_length',\n     'unit': 'ns',\n     'value': 35.55555555555556}],\n   'name': 'sx0'},\n  {'qubits': [1],\n   'gate': 'sx',\n   'parameters': [{'date': datetime.datetime(2021, 3, 15, 0, 13, 23, tzinfo=tzoffset(None, -14400)),\n     'name': 'gate_error',\n     'unit': '',\n     'value': 0.00033064681663890665},\n    {'date': datetime.datetime(2021, 3, 15, 0, 36, 3, tzinfo=tzoffset(None, -14400)),\n     'name': 'gate_length',\n     'unit': 'ns',\n     'value': 35.55555555555556}],\n   'name': 'sx1'},\n  {'qubits': [2],\n   'gate': 'sx',\n   'parameters': [{'date': datetime.datetime(2021, 3, 15, 0, 11, 29, tzinfo=tzoffset(None, -14400)),\n     'name': 'gate_error',\n     'unit': '',\n     'value': 0.0001807726361160903},\n    {'date': datetime.datetime(2021, 3, 15, 0, 36, 3, tzinfo=tzoffset(None, -14400)),\n     'name': 'gate_length',\n     'unit': 'ns',\n     'value': 35.55555555555556}],\n   'name': 'sx2'},\n  {'qubits': [3],\n   'gate': 'sx',\n   'parameters': [{'date': datetime.datetime(2021, 3, 15, 0, 11, 29, tzinfo=tzoffset(None, -14400)),\n     'name': 'gate_error',\n     'unit': '',\n     'value': 0.0003925363414603665},\n    {'date': datetime.datetime(2021, 3, 15, 0, 36, 3, tzinfo=tzoffset(None, -14400)),\n     'name': 'gate_length',\n     'unit': 'ns',\n     'value': 35.55555555555556}],\n   'name': 'sx3'},\n  {'qubits': [4],\n   'gate': 'sx',\n   'parameters': [{'date': datetime.datetime(2021, 3, 15, 0, 13, 23, tzinfo=tzoffset(None, -14400)),\n     'name': 'gate_error',\n     'unit': '',\n     'value': 0.0006789531879417325},\n    {'date': datetime.datetime(2021, 3, 15, 0, 36, 3, tzinfo=tzoffset(None, -14400)),\n     'name': 'gate_length',\n     'unit': 'ns',\n     'value': 35.55555555555556}],\n   'name': 'sx4'},\n  {'qubits': [0],\n   'gate': 'x',\n   'parameters': [{'date': datetime.datetime(2021, 3, 15, 0, 11, 29, tzinfo=tzoffset(None, -14400)),\n     'name': 'gate_error',\n     'unit': '',\n     'value': 0.00019195510390342677},\n    {'date': datetime.datetime(2021, 3, 15, 0, 36, 3, tzinfo=tzoffset(None, -14400)),\n     'name': 'gate_length',\n     'unit': 'ns',\n     'value': 35.55555555555556}],\n   'name': 'x0'},\n  {'qubits': [1],\n   'gate': 'x',\n   'parameters': [{'date': datetime.datetime(2021, 3, 15, 0, 13, 23, tzinfo=tzoffset(None, -14400)),\n     'name': 'gate_error',\n     'unit': '',\n     'value': 0.00033064681663890665},\n    {'date': datetime.datetime(2021, 3, 15, 0, 36, 3, tzinfo=tzoffset(None, -14400)),\n     'name': 'gate_length',\n     'unit': 'ns',\n     'value': 35.55555555555556}],\n   'name': 'x1'},\n  {'qubits': [2],\n   'gate': 'x',\n   'parameters': [{'date': datetime.datetime(2021, 3, 15, 0, 11, 29, tzinfo=tzoffset(None, -14400)),\n     'name': 'gate_error',\n     'unit': '',\n     'value': 0.0001807726361160903},\n    {'date': datetime.datetime(2021, 3, 15, 0, 36, 3, tzinfo=tzoffset(None, -14400)),\n     'name': 'gate_length',\n     'unit': 'ns',\n     'value': 35.55555555555556}],\n   'name': 'x2'},\n  {'qubits': [3],\n   'gate': 'x',\n   'parameters': [{'date': datetime.datetime(2021, 3, 15, 0, 11, 29, tzinfo=tzoffset(None, -14400)),\n     'name': 'gate_error',\n     'unit': '',\n     'value': 0.0003925363414603665},\n    {'date': datetime.datetime(2021, 3, 15, 0, 36, 3, tzinfo=tzoffset(None, -14400)),\n     'name': 'gate_length',\n     'unit': 'ns',\n     'value': 35.55555555555556}],\n   'name': 'x3'},\n  {'qubits': [4],\n   'gate': 'x',\n   'parameters': [{'date': datetime.datetime(2021, 3, 15, 0, 13, 23, tzinfo=tzoffset(None, -14400)),\n     'name': 'gate_error',\n     'unit': '',\n     'value': 0.0006789531879417325},\n    {'date': datetime.datetime(2021, 3, 15, 0, 36, 3, tzinfo=tzoffset(None, -14400)),\n     'name': 'gate_length',\n     'unit': 'ns',\n     'value': 35.55555555555556}],\n   'name': 'x4'},\n  {'qubits': [4, 3],\n   'gate': 'cx',\n   'parameters': [{'date': datetime.datetime(2021, 3, 15, 0, 36, 3, tzinfo=tzoffset(None, -14400)),\n     'name': 'gate_error',\n     'unit': '',\n     'value': 0.02043493012013503},\n    {'date': datetime.datetime(2021, 3, 12, 0, 36, 3, tzinfo=tzoffset(None, -18000)),\n     'name': 'gate_length',\n     'unit': 'ns',\n     'value': 483.55555555555554}],\n   'name': 'cx4_3'},\n  {'qubits': [3, 4],\n   'gate': 'cx',\n   'parameters': [{'date': datetime.datetime(2021, 3, 15, 0, 36, 3, tzinfo=tzoffset(None, -14400)),\n     'name': 'gate_error',\n     'unit': '',\n     'value': 0.02043493012013503},\n    {'date': datetime.datetime(2021, 3, 12, 0, 36, 3, tzinfo=tzoffset(None, -18000)),\n     'name': 'gate_length',\n     'unit': 'ns',\n     'value': 519.1111111111111}],\n   'name': 'cx3_4'},\n  {'qubits': [0, 1],\n   'gate': 'cx',\n   'parameters': [{'date': datetime.datetime(2021, 3, 15, 0, 30, 8, tzinfo=tzoffset(None, -14400)),\n     'name': 'gate_error',\n     'unit': '',\n     'value': 0.008339674869236618},\n    {'date': datetime.datetime(2021, 3, 12, 0, 36, 3, tzinfo=tzoffset(None, -18000)),\n     'name': 'gate_length',\n     'unit': 'ns',\n     'value': 305.77777777777777}],\n   'name': 'cx0_1'},\n  {'qubits': [1, 0],\n   'gate': 'cx',\n   'parameters': [{'date': datetime.datetime(2021, 3, 15, 0, 30, 8, tzinfo=tzoffset(None, -14400)),\n     'name': 'gate_error',\n     'unit': '',\n     'value': 0.008339674869236618},\n    {'date': datetime.datetime(2021, 3, 12, 0, 36, 3, tzinfo=tzoffset(None, -18000)),\n     'name': 'gate_length',\n     'unit': 'ns',\n     'value': 341.3333333333333}],\n   'name': 'cx1_0'},\n  {'qubits': [3, 1],\n   'gate': 'cx',\n   'parameters': [{'date': datetime.datetime(2021, 3, 15, 0, 24, 22, tzinfo=tzoffset(None, -14400)),\n     'name': 'gate_error',\n     'unit': '',\n     'value': 0.009799775939734023},\n    {'date': datetime.datetime(2021, 3, 12, 0, 36, 3, tzinfo=tzoffset(None, -18000)),\n     'name': 'gate_length',\n     'unit': 'ns',\n     'value': 462.2222222222222}],\n   'name': 'cx3_1'},\n  {'qubits': [1, 3],\n   'gate': 'cx',\n   'parameters': [{'date': datetime.datetime(2021, 3, 15, 0, 24, 22, tzinfo=tzoffset(None, -14400)),\n     'name': 'gate_error',\n     'unit': '',\n     'value': 0.009799775939734023},\n    {'date': datetime.datetime(2021, 3, 12, 0, 36, 3, tzinfo=tzoffset(None, -18000)),\n     'name': 'gate_length',\n     'unit': 'ns',\n     'value': 497.77777777777777}],\n   'name': 'cx1_3'},\n  {'qubits': [2, 1],\n   'gate': 'cx',\n   'parameters': [{'date': datetime.datetime(2021, 3, 15, 0, 19, 6, tzinfo=tzoffset(None, -14400)),\n     'name': 'gate_error',\n     'unit': '',\n     'value': 0.005961828308163608},\n    {'date': datetime.datetime(2021, 3, 12, 0, 36, 3, tzinfo=tzoffset(None, -18000)),\n     'name': 'gate_length',\n     'unit': 'ns',\n     'value': 298.66666666666663}],\n   'name': 'cx2_1'},\n  {'qubits': [1, 2],\n   'gate': 'cx',\n   'parameters': [{'date': datetime.datetime(2021, 3, 15, 0, 19, 6, tzinfo=tzoffset(None, -14400)),\n     'name': 'gate_error',\n     'unit': '',\n     'value': 0.005961828308163608},\n    {'date': datetime.datetime(2021, 3, 12, 0, 36, 3, tzinfo=tzoffset(None, -18000)),\n     'name': 'gate_length',\n     'unit': 'ns',\n     'value': 334.22222222222223}],\n   'name': 'cx1_2'},\n  {'qubits': [0],\n   'gate': 'reset',\n   'parameters': [{'date': datetime.datetime(2021, 3, 15, 0, 36, 3, tzinfo=tzoffset(None, -14400)),\n     'name': 'gate_length',\n     'unit': 'ns',\n     'value': 5742.222222222222}],\n   'name': 'reset0'},\n  {'qubits': [1],\n   'gate': 'reset',\n   'parameters': [{'date': datetime.datetime(2021, 3, 15, 0, 36, 3, tzinfo=tzoffset(None, -14400)),\n     'name': 'gate_length',\n     'unit': 'ns',\n     'value': 5742.222222222222}],\n   'name': 'reset1'},\n  {'qubits': [2],\n   'gate': 'reset',\n   'parameters': [{'date': datetime.datetime(2021, 3, 15, 0, 36, 3, tzinfo=tzoffset(None, -14400)),\n     'name': 'gate_length',\n     'unit': 'ns',\n     'value': 5742.222222222222}],\n   'name': 'reset2'},\n  {'qubits': [3],\n   'gate': 'reset',\n   'parameters': [{'date': datetime.datetime(2021, 3, 15, 0, 36, 3, tzinfo=tzoffset(None, -14400)),\n     'name': 'gate_length',\n     'unit': 'ns',\n     'value': 5742.222222222222}],\n   'name': 'reset3'},\n  {'qubits': [4],\n   'gate': 'reset',\n   'parameters': [{'date': datetime.datetime(2021, 3, 15, 0, 36, 3, tzinfo=tzoffset(None, -14400)),\n     'name': 'gate_length',\n     'unit': 'ns',\n     'value': 5742.222222222222}],\n   'name': 'reset4'}],\n 'general': [{'date': datetime.datetime(2021, 3, 15, 0, 36, 3, tzinfo=tzoffset(None, -14400)),\n   'name': 'jq_01',\n   'unit': 'GHz',\n   'value': 0.001764809587423861},\n  {'date': datetime.datetime(2021, 3, 15, 0, 36, 3, tzinfo=tzoffset(None, -14400)),\n   'name': 'zz_01',\n   'unit': 'GHz',\n   'value': -4.269674439106963e-05},\n  {'date': datetime.datetime(2021, 3, 15, 0, 36, 3, tzinfo=tzoffset(None, -14400)),\n   'name': 'jq_13',\n   'unit': 'GHz',\n   'value': 0.0018961548008719934},\n  {'date': datetime.datetime(2021, 3, 15, 0, 36, 3, tzinfo=tzoffset(None, -14400)),\n   'name': 'zz_13',\n   'unit': 'GHz',\n   'value': -6.0602970191985954e-05},\n  {'date': datetime.datetime(2021, 3, 15, 0, 36, 3, tzinfo=tzoffset(None, -14400)),\n   'name': 'jq_34',\n   'unit': 'GHz',\n   'value': 0.001855162498517866},\n  {'date': datetime.datetime(2021, 3, 15, 0, 36, 3, tzinfo=tzoffset(None, -14400)),\n   'name': 'zz_34',\n   'unit': 'GHz',\n   'value': -7.012711532075646e-05},\n  {'date': datetime.datetime(2021, 3, 15, 0, 36, 3, tzinfo=tzoffset(None, -14400)),\n   'name': 'jq_12',\n   'unit': 'GHz',\n   'value': 0.0018768425276207256},\n  {'date': datetime.datetime(2021, 3, 15, 0, 36, 3, tzinfo=tzoffset(None, -14400)),\n   'name': 'zz_12',\n   'unit': 'GHz',\n   'value': -4.896566658931517e-05}]}"
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "FakeLima().properties().to_dict()"
   ],
   "metadata": {
    "collapsed": false
   },
   "id": "d47d219849cd7cb4",
   "execution_count": 13
  },
  {
   "cell_type": "code",
   "outputs": [
    {
     "data": {
      "text/plain": "['__class__',\n '__contains__',\n '__delattr__',\n '__dict__',\n '__dir__',\n '__doc__',\n '__eq__',\n '__format__',\n '__ge__',\n '__getattr__',\n '__getattribute__',\n '__gt__',\n '__hash__',\n '__init__',\n '__init_subclass__',\n '__le__',\n '__lt__',\n '__module__',\n '__ne__',\n '__new__',\n '__reduce__',\n '__reduce_ex__',\n '__repr__',\n '__setattr__',\n '__sizeof__',\n '__str__',\n '__subclasshook__',\n '__weakref__',\n '_channel_qubit_map',\n '_control_channels',\n '_data',\n '_get_channel_prefix_index',\n '_parse_channels',\n '_qubit_channel_map',\n 'acquire',\n 'acquisition_latency',\n 'backend_name',\n 'backend_version',\n 'basis_gates',\n 'channels',\n 'conditional',\n 'conditional_latency',\n 'control',\n 'control_channels',\n 'coupling_map',\n 'credits_required',\n 'default_rep_delay',\n 'describe',\n 'description',\n 'discriminators',\n 'drive',\n 'dt',\n 'dtm',\n 'dynamic_reprate_enabled',\n 'from_dict',\n 'gates',\n 'get_channel_qubits',\n 'get_qubit_channels',\n 'hamiltonian',\n 'local',\n 'max_experiments',\n 'max_shots',\n 'meas_kernels',\n 'meas_levels',\n 'meas_lo_range',\n 'meas_map',\n 'measure',\n 'memory',\n 'n_qubits',\n 'n_registers',\n 'n_uchannels',\n 'num_qubits',\n 'online_date',\n 'open_pulse',\n 'parametric_pulses',\n 'processor_type',\n 'qubit_lo_range',\n 'rep_delay_range',\n 'rep_times',\n 'sample_name',\n 'sample_rate',\n 'simulator',\n 'supported_instructions',\n 'to_dict',\n 'u_channel_lo']"
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "dir(FakeLima().configuration())"
   ],
   "metadata": {
    "collapsed": false
   },
   "id": "235a7198e15b4f8e",
   "execution_count": 14
  },
  {
   "cell_type": "code",
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/var/folders/94/svsqs2bx4j5ct0r0f6jyr1qm0000gn/T/ipykernel_39087/2581628487.py:1: DeprecationWarning: All fake backend instances based on real device snapshots (`FakeVigo`,`FakeSherbrooke`,...) have been migrated to the `qiskit_ibm_runtime` package. These classes are deprecated as of qiskit 0.46.0 and will be removed in qiskit 1.0.0. To migrate your code, run `pip install qiskit-ibm-runtime` and use `from qiskit_ibm_runtime.fake_provider import FakeExample` instead of `from qiskit.providers.fake_provider import FakeExample`. If you are using a custom fake backend implementation, you don't need to take any action.\n",
      "  noise_model = NoiseModel.from_backend(FakeLima())\n"
     ]
    },
    {
     "data": {
      "text/plain": "['_1qubit_instructions',\n '_2qubit_instructions',\n '_3qubit_instructions',\n '__class__',\n '__delattr__',\n '__dict__',\n '__dir__',\n '__doc__',\n '__eq__',\n '__format__',\n '__ge__',\n '__getattribute__',\n '__gt__',\n '__hash__',\n '__init__',\n '__init_subclass__',\n '__le__',\n '__lt__',\n '__module__',\n '__ne__',\n '__new__',\n '__reduce__',\n '__reduce_ex__',\n '__repr__',\n '__setattr__',\n '__sizeof__',\n '__str__',\n '__subclasshook__',\n '__weakref__',\n '_all_qubit_quantum_errors_equal',\n '_basis_gates',\n '_check_number_of_qubits',\n '_custom_noise_passes',\n '_default_quantum_errors',\n '_default_readout_error',\n '_instruction_names_labels',\n '_keys2str',\n '_local_quantum_errors',\n '_local_quantum_errors_equal',\n '_local_readout_errors',\n '_noise_instructions',\n '_noise_qubits',\n '_pass_manager',\n '_readout_errors_equal',\n 'add_all_qubit_quantum_error',\n 'add_all_qubit_readout_error',\n 'add_basis_gates',\n 'add_quantum_error',\n 'add_readout_error',\n 'basis_gates',\n 'from_backend',\n 'from_backend_properties',\n 'from_dict',\n 'is_ideal',\n 'noise_instructions',\n 'noise_qubits',\n 'reset',\n 'to_dict']"
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "noise_model = NoiseModel.from_backend(FakeLima())\n",
    "dir(noise_model)"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-07-24T16:47:14.650550Z",
     "start_time": "2024-07-24T16:47:14.568678Z"
    }
   },
   "id": "29d247a9b33c50e6",
   "execution_count": 9
  },
  {
   "cell_type": "code",
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/var/folders/94/svsqs2bx4j5ct0r0f6jyr1qm0000gn/T/ipykernel_39087/3895923856.py:1: DeprecationWarning: All fake backend instances based on real device snapshots (`FakeVigo`,`FakeSherbrooke`,...) have been migrated to the `qiskit_ibm_runtime` package. These classes are deprecated as of qiskit 0.46.0 and will be removed in qiskit 1.0.0. To migrate your code, run `pip install qiskit-ibm-runtime` and use `from qiskit_ibm_runtime.fake_provider import FakeExample` instead of `from qiskit.providers.fake_provider import FakeExample`. If you are using a custom fake backend implementation, you don't need to take any action.\n",
      "  noise_model = NoiseModel.from_backend(FakeLima())\n"
     ]
    },
    {
     "data": {
      "text/plain": "[{'type': 'qerror',\n  'id': 'dff3465c304b4ba381ce156a047c8ee4',\n  'operations': ['id'],\n  'instructions': [[{'name': 'kraus',\n     'params': [array([[-0.99997945+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99968168+0.j]]),\n      array([[-0.00641101+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.00641292+0.j]]),\n      array([[0.        +0.j, 0.02440096+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]}]],\n  'probabilities': [1.0],\n  'gate_qubits': [(0,)]},\n {'type': 'qerror',\n  'id': '5c860cbb0be144e19a1485972fa21c10',\n  'operations': ['id'],\n  'instructions': [[{'name': 'id', 'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99997658+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99976255+0.j]]),\n      array([[-0.00684392+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.00684538+0.j]]),\n      array([[0.        +0.j, 0.02068766+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]}],\n   [{'name': 'x', 'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99997658+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99976255+0.j]]),\n      array([[-0.00684392+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.00684538+0.j]]),\n      array([[0.        +0.j, 0.02068766+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]}],\n   [{'name': 'y', 'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99997658+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99976255+0.j]]),\n      array([[-0.00684392+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.00684538+0.j]]),\n      array([[0.        +0.j, 0.02068766+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]}],\n   [{'name': 'z', 'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99997658+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99976255+0.j]]),\n      array([[-0.00684392+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.00684538+0.j]]),\n      array([[0.        +0.j, 0.02068766+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]}]],\n  'probabilities': [0.9997647983060602,\n   7.840056464660254e-05,\n   7.840056464660254e-05,\n   7.840056464660254e-05],\n  'gate_qubits': [(1,)]},\n {'type': 'qerror',\n  'id': 'cfee31bf88a94fa68381ddc73cacd545',\n  'operations': ['id'],\n  'instructions': [[{'name': 'id', 'qubits': [0]}],\n   [{'name': 'z', 'qubits': [0]}],\n   [{'name': 'reset', 'qubits': [0]}]],\n  'probabilities': [0.9996411716430857,\n   1.62718769913263e-05,\n   0.0003425564799228731],\n  'gate_qubits': [(2,)]},\n {'type': 'qerror',\n  'id': '50661bc347cd46bba0d78afb54120a31',\n  'operations': ['id'],\n  'instructions': [[{'name': 'id', 'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99991073+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99950281+0.j]]),\n      array([[-0.01336146+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01336691+0.j]]),\n      array([[0.        +0.j, 0.02855612+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]}],\n   [{'name': 'x', 'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99991073+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99950281+0.j]]),\n      array([[-0.01336146+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01336691+0.j]]),\n      array([[0.        +0.j, 0.02855612+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]}],\n   [{'name': 'y', 'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99991073+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99950281+0.j]]),\n      array([[-0.01336146+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01336691+0.j]]),\n      array([[0.        +0.j, 0.02855612+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]}],\n   [{'name': 'z', 'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99991073+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99950281+0.j]]),\n      array([[-0.01336146+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01336691+0.j]]),\n      array([[0.        +0.j, 0.02855612+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]}]],\n  'probabilities': [0.9999975626983828,\n   8.124338724211392e-07,\n   8.124338724211392e-07,\n   8.124338724211392e-07],\n  'gate_qubits': [(3,)]},\n {'type': 'qerror',\n  'id': 'e0240981a1ed453898d6680a68688c34',\n  'operations': ['id'],\n  'instructions': [[{'name': 'id', 'qubits': [0]}],\n   [{'name': 'z', 'qubits': [0]}],\n   [{'name': 'reset', 'qubits': [0]}]],\n  'probabilities': [0.9979075675452787,\n   6.783148223438518e-05,\n   0.002024600972486912],\n  'gate_qubits': [(4,)]},\n {'type': 'qerror',\n  'id': 'd16bc19dc82f46c797181723540597f8',\n  'operations': ['sx'],\n  'instructions': [[{'name': 'kraus',\n     'params': [array([[-0.99997945+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99968168+0.j]]),\n      array([[-0.00641101+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.00641292+0.j]]),\n      array([[0.        +0.j, 0.02440096+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]}]],\n  'probabilities': [1.0],\n  'gate_qubits': [(0,)]},\n {'type': 'qerror',\n  'id': '792e37bd913349448bd05dc388c8fe44',\n  'operations': ['sx'],\n  'instructions': [[{'name': 'id', 'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99997658+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99976255+0.j]]),\n      array([[-0.00684392+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.00684538+0.j]]),\n      array([[0.        +0.j, 0.02068766+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]}],\n   [{'name': 'x', 'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99997658+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99976255+0.j]]),\n      array([[-0.00684392+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.00684538+0.j]]),\n      array([[0.        +0.j, 0.02068766+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]}],\n   [{'name': 'y', 'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99997658+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99976255+0.j]]),\n      array([[-0.00684392+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.00684538+0.j]]),\n      array([[0.        +0.j, 0.02068766+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]}],\n   [{'name': 'z', 'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99997658+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99976255+0.j]]),\n      array([[-0.00684392+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.00684538+0.j]]),\n      array([[0.        +0.j, 0.02068766+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]}]],\n  'probabilities': [0.9997647983060602,\n   7.840056464660254e-05,\n   7.840056464660254e-05,\n   7.840056464660254e-05],\n  'gate_qubits': [(1,)]},\n {'type': 'qerror',\n  'id': '62bc39498745436db5480e6f3bddb68c',\n  'operations': ['sx'],\n  'instructions': [[{'name': 'id', 'qubits': [0]}],\n   [{'name': 'z', 'qubits': [0]}],\n   [{'name': 'reset', 'qubits': [0]}]],\n  'probabilities': [0.9996411716430857,\n   1.62718769913263e-05,\n   0.0003425564799228731],\n  'gate_qubits': [(2,)]},\n {'type': 'qerror',\n  'id': 'fc3317cc2c324bc9a46c2791e955090c',\n  'operations': ['sx'],\n  'instructions': [[{'name': 'id', 'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99991073+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99950281+0.j]]),\n      array([[-0.01336146+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01336691+0.j]]),\n      array([[0.        +0.j, 0.02855612+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]}],\n   [{'name': 'x', 'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99991073+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99950281+0.j]]),\n      array([[-0.01336146+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01336691+0.j]]),\n      array([[0.        +0.j, 0.02855612+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]}],\n   [{'name': 'y', 'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99991073+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99950281+0.j]]),\n      array([[-0.01336146+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01336691+0.j]]),\n      array([[0.        +0.j, 0.02855612+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]}],\n   [{'name': 'z', 'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99991073+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99950281+0.j]]),\n      array([[-0.01336146+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01336691+0.j]]),\n      array([[0.        +0.j, 0.02855612+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]}]],\n  'probabilities': [0.9999975626983828,\n   8.124338724211392e-07,\n   8.124338724211392e-07,\n   8.124338724211392e-07],\n  'gate_qubits': [(3,)]},\n {'type': 'qerror',\n  'id': '8d3c809e01d84b688c05dc04add07bbd',\n  'operations': ['sx'],\n  'instructions': [[{'name': 'id', 'qubits': [0]}],\n   [{'name': 'z', 'qubits': [0]}],\n   [{'name': 'reset', 'qubits': [0]}]],\n  'probabilities': [0.9979075675452787,\n   6.783148223438518e-05,\n   0.002024600972486912],\n  'gate_qubits': [(4,)]},\n {'type': 'qerror',\n  'id': 'ab3832f644144de480f1255ca86dc33a',\n  'operations': ['x'],\n  'instructions': [[{'name': 'kraus',\n     'params': [array([[-0.99997945+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99968168+0.j]]),\n      array([[-0.00641101+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.00641292+0.j]]),\n      array([[0.        +0.j, 0.02440096+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]}]],\n  'probabilities': [1.0],\n  'gate_qubits': [(0,)]},\n {'type': 'qerror',\n  'id': '6525a60497914cd386ead15dc4c61581',\n  'operations': ['x'],\n  'instructions': [[{'name': 'id', 'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99997658+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99976255+0.j]]),\n      array([[-0.00684392+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.00684538+0.j]]),\n      array([[0.        +0.j, 0.02068766+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]}],\n   [{'name': 'x', 'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99997658+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99976255+0.j]]),\n      array([[-0.00684392+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.00684538+0.j]]),\n      array([[0.        +0.j, 0.02068766+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]}],\n   [{'name': 'y', 'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99997658+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99976255+0.j]]),\n      array([[-0.00684392+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.00684538+0.j]]),\n      array([[0.        +0.j, 0.02068766+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]}],\n   [{'name': 'z', 'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99997658+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99976255+0.j]]),\n      array([[-0.00684392+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.00684538+0.j]]),\n      array([[0.        +0.j, 0.02068766+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]}]],\n  'probabilities': [0.9997647983060602,\n   7.840056464660254e-05,\n   7.840056464660254e-05,\n   7.840056464660254e-05],\n  'gate_qubits': [(1,)]},\n {'type': 'qerror',\n  'id': '92eb0582db434ae99a584cdb6bdf1ece',\n  'operations': ['x'],\n  'instructions': [[{'name': 'id', 'qubits': [0]}],\n   [{'name': 'z', 'qubits': [0]}],\n   [{'name': 'reset', 'qubits': [0]}]],\n  'probabilities': [0.9996411716430857,\n   1.62718769913263e-05,\n   0.0003425564799228731],\n  'gate_qubits': [(2,)]},\n {'type': 'qerror',\n  'id': 'fd965ed095b54dc78543f77fbc0d2d9d',\n  'operations': ['x'],\n  'instructions': [[{'name': 'id', 'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99991073+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99950281+0.j]]),\n      array([[-0.01336146+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01336691+0.j]]),\n      array([[0.        +0.j, 0.02855612+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]}],\n   [{'name': 'x', 'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99991073+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99950281+0.j]]),\n      array([[-0.01336146+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01336691+0.j]]),\n      array([[0.        +0.j, 0.02855612+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]}],\n   [{'name': 'y', 'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99991073+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99950281+0.j]]),\n      array([[-0.01336146+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01336691+0.j]]),\n      array([[0.        +0.j, 0.02855612+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]}],\n   [{'name': 'z', 'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99991073+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99950281+0.j]]),\n      array([[-0.01336146+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01336691+0.j]]),\n      array([[0.        +0.j, 0.02855612+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]}]],\n  'probabilities': [0.9999975626983828,\n   8.124338724211392e-07,\n   8.124338724211392e-07,\n   8.124338724211392e-07],\n  'gate_qubits': [(3,)]},\n {'type': 'qerror',\n  'id': '9f3babb69022454d80db40f77ac7afdf',\n  'operations': ['x'],\n  'instructions': [[{'name': 'id', 'qubits': [0]}],\n   [{'name': 'z', 'qubits': [0]}],\n   [{'name': 'reset', 'qubits': [0]}]],\n  'probabilities': [0.9979075675452787,\n   6.783148223438518e-05,\n   0.002024600972486912],\n  'gate_qubits': [(4,)]},\n {'type': 'qerror',\n  'id': '21c807c92d1f4cd5a173777b67442753',\n  'operations': ['cx'],\n  'instructions': [[{'name': 'id', 'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99880047+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99324828+0.j]]),\n      array([[-0.04896547+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.04923919+0.j]]),\n      array([[0.        +0.j, 0.10503978+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'z', 'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99880047+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99324828+0.j]]),\n      array([[-0.04896547+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.04923919+0.j]]),\n      array([[0.        +0.j, 0.10503978+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'reset', 'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99880047+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99324828+0.j]]),\n      array([[-0.04896547+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.04923919+0.j]]),\n      array([[0.        +0.j, 0.10503978+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}]],\n  'probabilities': [0.9719154155349994,\n   0.000898479654052871,\n   0.027186104810947742],\n  'gate_qubits': [(4, 3)]},\n {'type': 'qerror',\n  'id': '26cfb1c9239f42288ccde4312751e848',\n  'operations': ['cx'],\n  'instructions': [[{'name': 'kraus',\n     'params': [array([[-0.99871351+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99275268+0.j]]),\n      array([[-0.0507083 +0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.05101277+0.j]]),\n      array([[0.        +0.j, 0.10881089+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'id', 'qubits': [1]}],\n   [{'name': 'kraus',\n     'params': [array([[-0.99871351+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99275268+0.j]]),\n      array([[-0.0507083 +0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.05101277+0.j]]),\n      array([[0.        +0.j, 0.10881089+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'z', 'qubits': [1]}],\n   [{'name': 'kraus',\n     'params': [array([[-0.99871351+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99275268+0.j]]),\n      array([[-0.0507083 +0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.05101277+0.j]]),\n      array([[0.        +0.j, 0.10881089+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'reset', 'qubits': [1]}]],\n  'probabilities': [0.9698818091214967,\n   0.0009625261093069779,\n   0.029155664769196288],\n  'gate_qubits': [(3, 4)]},\n {'type': 'qerror',\n  'id': '784163823d274f24ba2c5b69968c20cb',\n  'operations': ['cx'],\n  'instructions': [[{'name': 'pauli', 'params': ['II'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[0.9998241 +0.j, 0.        +0.j],\n             [0.        +0.j, 0.99726501+0.j]]),\n      array([[-0.01875525+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01880338+0.j]]),\n      array([[0.        +0.j, 0.07147676+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.9997993 +0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99795917+0.j]]),\n      array([[-0.02003407+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02007101+0.j]]),\n      array([[0.        +0.j, 0.06061882+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['IX'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[0.9998241 +0.j, 0.        +0.j],\n             [0.        +0.j, 0.99726501+0.j]]),\n      array([[-0.01875525+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01880338+0.j]]),\n      array([[0.        +0.j, 0.07147676+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.9997993 +0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99795917+0.j]]),\n      array([[-0.02003407+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02007101+0.j]]),\n      array([[0.        +0.j, 0.06061882+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['IY'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[0.9998241 +0.j, 0.        +0.j],\n             [0.        +0.j, 0.99726501+0.j]]),\n      array([[-0.01875525+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01880338+0.j]]),\n      array([[0.        +0.j, 0.07147676+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.9997993 +0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99795917+0.j]]),\n      array([[-0.02003407+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02007101+0.j]]),\n      array([[0.        +0.j, 0.06061882+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['IZ'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[0.9998241 +0.j, 0.        +0.j],\n             [0.        +0.j, 0.99726501+0.j]]),\n      array([[-0.01875525+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01880338+0.j]]),\n      array([[0.        +0.j, 0.07147676+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.9997993 +0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99795917+0.j]]),\n      array([[-0.02003407+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02007101+0.j]]),\n      array([[0.        +0.j, 0.06061882+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['XI'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[0.9998241 +0.j, 0.        +0.j],\n             [0.        +0.j, 0.99726501+0.j]]),\n      array([[-0.01875525+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01880338+0.j]]),\n      array([[0.        +0.j, 0.07147676+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.9997993 +0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99795917+0.j]]),\n      array([[-0.02003407+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02007101+0.j]]),\n      array([[0.        +0.j, 0.06061882+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['XX'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[0.9998241 +0.j, 0.        +0.j],\n             [0.        +0.j, 0.99726501+0.j]]),\n      array([[-0.01875525+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01880338+0.j]]),\n      array([[0.        +0.j, 0.07147676+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.9997993 +0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99795917+0.j]]),\n      array([[-0.02003407+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02007101+0.j]]),\n      array([[0.        +0.j, 0.06061882+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['XY'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[0.9998241 +0.j, 0.        +0.j],\n             [0.        +0.j, 0.99726501+0.j]]),\n      array([[-0.01875525+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01880338+0.j]]),\n      array([[0.        +0.j, 0.07147676+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.9997993 +0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99795917+0.j]]),\n      array([[-0.02003407+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02007101+0.j]]),\n      array([[0.        +0.j, 0.06061882+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['XZ'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[0.9998241 +0.j, 0.        +0.j],\n             [0.        +0.j, 0.99726501+0.j]]),\n      array([[-0.01875525+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01880338+0.j]]),\n      array([[0.        +0.j, 0.07147676+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.9997993 +0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99795917+0.j]]),\n      array([[-0.02003407+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02007101+0.j]]),\n      array([[0.        +0.j, 0.06061882+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['YI'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[0.9998241 +0.j, 0.        +0.j],\n             [0.        +0.j, 0.99726501+0.j]]),\n      array([[-0.01875525+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01880338+0.j]]),\n      array([[0.        +0.j, 0.07147676+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.9997993 +0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99795917+0.j]]),\n      array([[-0.02003407+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02007101+0.j]]),\n      array([[0.        +0.j, 0.06061882+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['YX'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[0.9998241 +0.j, 0.        +0.j],\n             [0.        +0.j, 0.99726501+0.j]]),\n      array([[-0.01875525+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01880338+0.j]]),\n      array([[0.        +0.j, 0.07147676+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.9997993 +0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99795917+0.j]]),\n      array([[-0.02003407+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02007101+0.j]]),\n      array([[0.        +0.j, 0.06061882+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['YY'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[0.9998241 +0.j, 0.        +0.j],\n             [0.        +0.j, 0.99726501+0.j]]),\n      array([[-0.01875525+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01880338+0.j]]),\n      array([[0.        +0.j, 0.07147676+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.9997993 +0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99795917+0.j]]),\n      array([[-0.02003407+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02007101+0.j]]),\n      array([[0.        +0.j, 0.06061882+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['YZ'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[0.9998241 +0.j, 0.        +0.j],\n             [0.        +0.j, 0.99726501+0.j]]),\n      array([[-0.01875525+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01880338+0.j]]),\n      array([[0.        +0.j, 0.07147676+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.9997993 +0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99795917+0.j]]),\n      array([[-0.02003407+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02007101+0.j]]),\n      array([[0.        +0.j, 0.06061882+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['ZI'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[0.9998241 +0.j, 0.        +0.j],\n             [0.        +0.j, 0.99726501+0.j]]),\n      array([[-0.01875525+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01880338+0.j]]),\n      array([[0.        +0.j, 0.07147676+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.9997993 +0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99795917+0.j]]),\n      array([[-0.02003407+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02007101+0.j]]),\n      array([[0.        +0.j, 0.06061882+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['ZX'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[0.9998241 +0.j, 0.        +0.j],\n             [0.        +0.j, 0.99726501+0.j]]),\n      array([[-0.01875525+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01880338+0.j]]),\n      array([[0.        +0.j, 0.07147676+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.9997993 +0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99795917+0.j]]),\n      array([[-0.02003407+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02007101+0.j]]),\n      array([[0.        +0.j, 0.06061882+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['ZY'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[0.9998241 +0.j, 0.        +0.j],\n             [0.        +0.j, 0.99726501+0.j]]),\n      array([[-0.01875525+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01880338+0.j]]),\n      array([[0.        +0.j, 0.07147676+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.9997993 +0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99795917+0.j]]),\n      array([[-0.02003407+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02007101+0.j]]),\n      array([[0.        +0.j, 0.06061882+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['ZZ'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[0.9998241 +0.j, 0.        +0.j],\n             [0.        +0.j, 0.99726501+0.j]]),\n      array([[-0.01875525+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01880338+0.j]]),\n      array([[0.        +0.j, 0.07147676+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.9997993 +0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99795917+0.j]]),\n      array([[-0.02003407+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02007101+0.j]]),\n      array([[0.        +0.j, 0.06061882+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}]],\n  'probabilities': [0.9946887911620459,\n   0.0003540805891969259,\n   0.0003540805891969259,\n   0.0003540805891969259,\n   0.0003540805891969259,\n   0.0003540805891969259,\n   0.0003540805891969259,\n   0.0003540805891969259,\n   0.0003540805891969259,\n   0.0003540805891969259,\n   0.0003540805891969259,\n   0.0003540805891969259,\n   0.0003540805891969259,\n   0.0003540805891969259,\n   0.0003540805891969259,\n   0.0003540805891969259],\n  'gate_qubits': [(0, 1)]},\n {'type': 'qerror',\n  'id': 'f9d1483bc940420584ea83f281dccd7e',\n  'operations': ['cx'],\n  'instructions': [[{'name': 'pauli', 'params': ['II'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[-0.99977606+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99772205+0.j]]),\n      array([[-0.02116178+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02120535+0.j]]),\n      array([[0.        +0.j, 0.06403943+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99980378+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99694736+0.j]]),\n      array([[-0.01980936+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01986612+0.j]]),\n      array([[0.       +0.j, 0.0755069+0.j],\n             [0.       +0.j, 0.       +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['IX'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[-0.99977606+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99772205+0.j]]),\n      array([[-0.02116178+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02120535+0.j]]),\n      array([[0.        +0.j, 0.06403943+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99980378+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99694736+0.j]]),\n      array([[-0.01980936+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01986612+0.j]]),\n      array([[0.       +0.j, 0.0755069+0.j],\n             [0.       +0.j, 0.       +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['IY'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[-0.99977606+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99772205+0.j]]),\n      array([[-0.02116178+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02120535+0.j]]),\n      array([[0.        +0.j, 0.06403943+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99980378+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99694736+0.j]]),\n      array([[-0.01980936+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01986612+0.j]]),\n      array([[0.       +0.j, 0.0755069+0.j],\n             [0.       +0.j, 0.       +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['IZ'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[-0.99977606+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99772205+0.j]]),\n      array([[-0.02116178+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02120535+0.j]]),\n      array([[0.        +0.j, 0.06403943+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99980378+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99694736+0.j]]),\n      array([[-0.01980936+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01986612+0.j]]),\n      array([[0.       +0.j, 0.0755069+0.j],\n             [0.       +0.j, 0.       +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['XI'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[-0.99977606+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99772205+0.j]]),\n      array([[-0.02116178+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02120535+0.j]]),\n      array([[0.        +0.j, 0.06403943+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99980378+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99694736+0.j]]),\n      array([[-0.01980936+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01986612+0.j]]),\n      array([[0.       +0.j, 0.0755069+0.j],\n             [0.       +0.j, 0.       +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['XX'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[-0.99977606+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99772205+0.j]]),\n      array([[-0.02116178+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02120535+0.j]]),\n      array([[0.        +0.j, 0.06403943+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99980378+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99694736+0.j]]),\n      array([[-0.01980936+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01986612+0.j]]),\n      array([[0.       +0.j, 0.0755069+0.j],\n             [0.       +0.j, 0.       +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['XY'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[-0.99977606+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99772205+0.j]]),\n      array([[-0.02116178+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02120535+0.j]]),\n      array([[0.        +0.j, 0.06403943+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99980378+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99694736+0.j]]),\n      array([[-0.01980936+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01986612+0.j]]),\n      array([[0.       +0.j, 0.0755069+0.j],\n             [0.       +0.j, 0.       +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['XZ'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[-0.99977606+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99772205+0.j]]),\n      array([[-0.02116178+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02120535+0.j]]),\n      array([[0.        +0.j, 0.06403943+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99980378+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99694736+0.j]]),\n      array([[-0.01980936+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01986612+0.j]]),\n      array([[0.       +0.j, 0.0755069+0.j],\n             [0.       +0.j, 0.       +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['YI'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[-0.99977606+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99772205+0.j]]),\n      array([[-0.02116178+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02120535+0.j]]),\n      array([[0.        +0.j, 0.06403943+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99980378+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99694736+0.j]]),\n      array([[-0.01980936+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01986612+0.j]]),\n      array([[0.       +0.j, 0.0755069+0.j],\n             [0.       +0.j, 0.       +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['YX'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[-0.99977606+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99772205+0.j]]),\n      array([[-0.02116178+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02120535+0.j]]),\n      array([[0.        +0.j, 0.06403943+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99980378+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99694736+0.j]]),\n      array([[-0.01980936+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01986612+0.j]]),\n      array([[0.       +0.j, 0.0755069+0.j],\n             [0.       +0.j, 0.       +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['YY'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[-0.99977606+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99772205+0.j]]),\n      array([[-0.02116178+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02120535+0.j]]),\n      array([[0.        +0.j, 0.06403943+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99980378+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99694736+0.j]]),\n      array([[-0.01980936+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01986612+0.j]]),\n      array([[0.       +0.j, 0.0755069+0.j],\n             [0.       +0.j, 0.       +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['YZ'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[-0.99977606+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99772205+0.j]]),\n      array([[-0.02116178+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02120535+0.j]]),\n      array([[0.        +0.j, 0.06403943+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99980378+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99694736+0.j]]),\n      array([[-0.01980936+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01986612+0.j]]),\n      array([[0.       +0.j, 0.0755069+0.j],\n             [0.       +0.j, 0.       +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['ZI'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[-0.99977606+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99772205+0.j]]),\n      array([[-0.02116178+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02120535+0.j]]),\n      array([[0.        +0.j, 0.06403943+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99980378+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99694736+0.j]]),\n      array([[-0.01980936+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01986612+0.j]]),\n      array([[0.       +0.j, 0.0755069+0.j],\n             [0.       +0.j, 0.       +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['ZX'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[-0.99977606+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99772205+0.j]]),\n      array([[-0.02116178+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02120535+0.j]]),\n      array([[0.        +0.j, 0.06403943+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99980378+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99694736+0.j]]),\n      array([[-0.01980936+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01986612+0.j]]),\n      array([[0.       +0.j, 0.0755069+0.j],\n             [0.       +0.j, 0.       +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['ZY'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[-0.99977606+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99772205+0.j]]),\n      array([[-0.02116178+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02120535+0.j]]),\n      array([[0.        +0.j, 0.06403943+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99980378+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99694736+0.j]]),\n      array([[-0.01980936+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01986612+0.j]]),\n      array([[0.       +0.j, 0.0755069+0.j],\n             [0.       +0.j, 0.       +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['ZZ'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[-0.99977606+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99772205+0.j]]),\n      array([[-0.02116178+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02120535+0.j]]),\n      array([[0.        +0.j, 0.06403943+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99980378+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99694736+0.j]]),\n      array([[-0.01980936+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01986612+0.j]]),\n      array([[0.       +0.j, 0.0755069+0.j],\n             [0.       +0.j, 0.       +0.j]])],\n     'qubits': [1]}]],\n  'probabilities': [0.9952849730211146,\n   0.0003143351319257287,\n   0.0003143351319257287,\n   0.0003143351319257287,\n   0.0003143351319257287,\n   0.0003143351319257287,\n   0.0003143351319257287,\n   0.0003143351319257287,\n   0.0003143351319257287,\n   0.0003143351319257287,\n   0.0003143351319257287,\n   0.0003143351319257287,\n   0.0003143351319257287,\n   0.0003143351319257287,\n   0.0003143351319257287,\n   0.0003143351319257287],\n  'gate_qubits': [(1, 0)]},\n {'type': 'qerror',\n  'id': 'cd25853dfd814637bd3a8cab5b3d6d9b',\n  'operations': ['cx'],\n  'instructions': [[{'name': 'pauli', 'params': ['II'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[0.99885273+0.j, 0.        +0.j],\n             [0.        +0.j, 0.9935457 +0.j]]),\n      array([[-0.04788757+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.04814337+0.j]]),\n      array([[0.        +0.j, 0.10270914+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99969723+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.9969161 +0.j]]),\n      array([[-0.02460575+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02467439+0.j]]),\n      array([[0.        +0.j, 0.07449474+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['IX'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[0.99885273+0.j, 0.        +0.j],\n             [0.        +0.j, 0.9935457 +0.j]]),\n      array([[-0.04788757+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.04814337+0.j]]),\n      array([[0.        +0.j, 0.10270914+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99969723+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.9969161 +0.j]]),\n      array([[-0.02460575+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02467439+0.j]]),\n      array([[0.        +0.j, 0.07449474+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['IY'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[0.99885273+0.j, 0.        +0.j],\n             [0.        +0.j, 0.9935457 +0.j]]),\n      array([[-0.04788757+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.04814337+0.j]]),\n      array([[0.        +0.j, 0.10270914+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99969723+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.9969161 +0.j]]),\n      array([[-0.02460575+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02467439+0.j]]),\n      array([[0.        +0.j, 0.07449474+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['IZ'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[0.99885273+0.j, 0.        +0.j],\n             [0.        +0.j, 0.9935457 +0.j]]),\n      array([[-0.04788757+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.04814337+0.j]]),\n      array([[0.        +0.j, 0.10270914+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99969723+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.9969161 +0.j]]),\n      array([[-0.02460575+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02467439+0.j]]),\n      array([[0.        +0.j, 0.07449474+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['XI'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[0.99885273+0.j, 0.        +0.j],\n             [0.        +0.j, 0.9935457 +0.j]]),\n      array([[-0.04788757+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.04814337+0.j]]),\n      array([[0.        +0.j, 0.10270914+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99969723+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.9969161 +0.j]]),\n      array([[-0.02460575+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02467439+0.j]]),\n      array([[0.        +0.j, 0.07449474+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['XX'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[0.99885273+0.j, 0.        +0.j],\n             [0.        +0.j, 0.9935457 +0.j]]),\n      array([[-0.04788757+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.04814337+0.j]]),\n      array([[0.        +0.j, 0.10270914+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99969723+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.9969161 +0.j]]),\n      array([[-0.02460575+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02467439+0.j]]),\n      array([[0.        +0.j, 0.07449474+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['XY'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[0.99885273+0.j, 0.        +0.j],\n             [0.        +0.j, 0.9935457 +0.j]]),\n      array([[-0.04788757+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.04814337+0.j]]),\n      array([[0.        +0.j, 0.10270914+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99969723+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.9969161 +0.j]]),\n      array([[-0.02460575+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02467439+0.j]]),\n      array([[0.        +0.j, 0.07449474+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['XZ'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[0.99885273+0.j, 0.        +0.j],\n             [0.        +0.j, 0.9935457 +0.j]]),\n      array([[-0.04788757+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.04814337+0.j]]),\n      array([[0.        +0.j, 0.10270914+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99969723+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.9969161 +0.j]]),\n      array([[-0.02460575+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02467439+0.j]]),\n      array([[0.        +0.j, 0.07449474+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['YI'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[0.99885273+0.j, 0.        +0.j],\n             [0.        +0.j, 0.9935457 +0.j]]),\n      array([[-0.04788757+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.04814337+0.j]]),\n      array([[0.        +0.j, 0.10270914+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99969723+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.9969161 +0.j]]),\n      array([[-0.02460575+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02467439+0.j]]),\n      array([[0.        +0.j, 0.07449474+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['YX'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[0.99885273+0.j, 0.        +0.j],\n             [0.        +0.j, 0.9935457 +0.j]]),\n      array([[-0.04788757+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.04814337+0.j]]),\n      array([[0.        +0.j, 0.10270914+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99969723+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.9969161 +0.j]]),\n      array([[-0.02460575+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02467439+0.j]]),\n      array([[0.        +0.j, 0.07449474+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['YY'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[0.99885273+0.j, 0.        +0.j],\n             [0.        +0.j, 0.9935457 +0.j]]),\n      array([[-0.04788757+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.04814337+0.j]]),\n      array([[0.        +0.j, 0.10270914+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99969723+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.9969161 +0.j]]),\n      array([[-0.02460575+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02467439+0.j]]),\n      array([[0.        +0.j, 0.07449474+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['YZ'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[0.99885273+0.j, 0.        +0.j],\n             [0.        +0.j, 0.9935457 +0.j]]),\n      array([[-0.04788757+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.04814337+0.j]]),\n      array([[0.        +0.j, 0.10270914+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99969723+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.9969161 +0.j]]),\n      array([[-0.02460575+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02467439+0.j]]),\n      array([[0.        +0.j, 0.07449474+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['ZI'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[0.99885273+0.j, 0.        +0.j],\n             [0.        +0.j, 0.9935457 +0.j]]),\n      array([[-0.04788757+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.04814337+0.j]]),\n      array([[0.        +0.j, 0.10270914+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99969723+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.9969161 +0.j]]),\n      array([[-0.02460575+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02467439+0.j]]),\n      array([[0.        +0.j, 0.07449474+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['ZX'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[0.99885273+0.j, 0.        +0.j],\n             [0.        +0.j, 0.9935457 +0.j]]),\n      array([[-0.04788757+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.04814337+0.j]]),\n      array([[0.        +0.j, 0.10270914+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99969723+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.9969161 +0.j]]),\n      array([[-0.02460575+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02467439+0.j]]),\n      array([[0.        +0.j, 0.07449474+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['ZY'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[0.99885273+0.j, 0.        +0.j],\n             [0.        +0.j, 0.9935457 +0.j]]),\n      array([[-0.04788757+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.04814337+0.j]]),\n      array([[0.        +0.j, 0.10270914+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99969723+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.9969161 +0.j]]),\n      array([[-0.02460575+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02467439+0.j]]),\n      array([[0.        +0.j, 0.07449474+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['ZZ'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[0.99885273+0.j, 0.        +0.j],\n             [0.        +0.j, 0.9935457 +0.j]]),\n      array([[-0.04788757+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.04814337+0.j]]),\n      array([[0.        +0.j, 0.10270914+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99969723+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.9969161 +0.j]]),\n      array([[-0.02460575+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02467439+0.j]]),\n      array([[0.        +0.j, 0.07449474+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}]],\n  'probabilities': [0.9986801066157549,\n   8.799289228302701e-05,\n   8.799289228302701e-05,\n   8.799289228302701e-05,\n   8.799289228302701e-05,\n   8.799289228302701e-05,\n   8.799289228302701e-05,\n   8.799289228302701e-05,\n   8.799289228302701e-05,\n   8.799289228302701e-05,\n   8.799289228302701e-05,\n   8.799289228302701e-05,\n   8.799289228302701e-05,\n   8.799289228302701e-05,\n   8.799289228302701e-05,\n   8.799289228302701e-05],\n  'gate_qubits': [(3, 1)]},\n {'type': 'qerror',\n  'id': '659c2458329e4c1fb35e9d75ba352a31',\n  'operations': ['cx'],\n  'instructions': [[{'name': 'pauli', 'params': ['II'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[0.99967409+0.j, 0.        +0.j],\n             [0.        +0.j, 0.99667914+0.j]]),\n      array([[-0.0255285 +0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02560522+0.j]]),\n      array([[0.        +0.j, 0.07729858+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99876567+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99305003+0.j]]),\n      array([[-0.04967037+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.04995626+0.j]]),\n      array([[0.        +0.j, 0.10656461+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['IX'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[0.99967409+0.j, 0.        +0.j],\n             [0.        +0.j, 0.99667914+0.j]]),\n      array([[-0.0255285 +0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02560522+0.j]]),\n      array([[0.        +0.j, 0.07729858+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99876567+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99305003+0.j]]),\n      array([[-0.04967037+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.04995626+0.j]]),\n      array([[0.        +0.j, 0.10656461+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['IY'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[0.99967409+0.j, 0.        +0.j],\n             [0.        +0.j, 0.99667914+0.j]]),\n      array([[-0.0255285 +0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02560522+0.j]]),\n      array([[0.        +0.j, 0.07729858+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99876567+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99305003+0.j]]),\n      array([[-0.04967037+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.04995626+0.j]]),\n      array([[0.        +0.j, 0.10656461+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['IZ'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[0.99967409+0.j, 0.        +0.j],\n             [0.        +0.j, 0.99667914+0.j]]),\n      array([[-0.0255285 +0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02560522+0.j]]),\n      array([[0.        +0.j, 0.07729858+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99876567+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99305003+0.j]]),\n      array([[-0.04967037+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.04995626+0.j]]),\n      array([[0.        +0.j, 0.10656461+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['XI'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[0.99967409+0.j, 0.        +0.j],\n             [0.        +0.j, 0.99667914+0.j]]),\n      array([[-0.0255285 +0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02560522+0.j]]),\n      array([[0.        +0.j, 0.07729858+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99876567+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99305003+0.j]]),\n      array([[-0.04967037+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.04995626+0.j]]),\n      array([[0.        +0.j, 0.10656461+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['XX'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[0.99967409+0.j, 0.        +0.j],\n             [0.        +0.j, 0.99667914+0.j]]),\n      array([[-0.0255285 +0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02560522+0.j]]),\n      array([[0.        +0.j, 0.07729858+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99876567+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99305003+0.j]]),\n      array([[-0.04967037+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.04995626+0.j]]),\n      array([[0.        +0.j, 0.10656461+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['XY'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[0.99967409+0.j, 0.        +0.j],\n             [0.        +0.j, 0.99667914+0.j]]),\n      array([[-0.0255285 +0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02560522+0.j]]),\n      array([[0.        +0.j, 0.07729858+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99876567+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99305003+0.j]]),\n      array([[-0.04967037+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.04995626+0.j]]),\n      array([[0.        +0.j, 0.10656461+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['XZ'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[0.99967409+0.j, 0.        +0.j],\n             [0.        +0.j, 0.99667914+0.j]]),\n      array([[-0.0255285 +0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02560522+0.j]]),\n      array([[0.        +0.j, 0.07729858+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99876567+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99305003+0.j]]),\n      array([[-0.04967037+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.04995626+0.j]]),\n      array([[0.        +0.j, 0.10656461+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['YI'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[0.99967409+0.j, 0.        +0.j],\n             [0.        +0.j, 0.99667914+0.j]]),\n      array([[-0.0255285 +0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02560522+0.j]]),\n      array([[0.        +0.j, 0.07729858+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99876567+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99305003+0.j]]),\n      array([[-0.04967037+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.04995626+0.j]]),\n      array([[0.        +0.j, 0.10656461+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['YX'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[0.99967409+0.j, 0.        +0.j],\n             [0.        +0.j, 0.99667914+0.j]]),\n      array([[-0.0255285 +0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02560522+0.j]]),\n      array([[0.        +0.j, 0.07729858+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99876567+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99305003+0.j]]),\n      array([[-0.04967037+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.04995626+0.j]]),\n      array([[0.        +0.j, 0.10656461+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['YY'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[0.99967409+0.j, 0.        +0.j],\n             [0.        +0.j, 0.99667914+0.j]]),\n      array([[-0.0255285 +0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02560522+0.j]]),\n      array([[0.        +0.j, 0.07729858+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99876567+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99305003+0.j]]),\n      array([[-0.04967037+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.04995626+0.j]]),\n      array([[0.        +0.j, 0.10656461+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['YZ'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[0.99967409+0.j, 0.        +0.j],\n             [0.        +0.j, 0.99667914+0.j]]),\n      array([[-0.0255285 +0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02560522+0.j]]),\n      array([[0.        +0.j, 0.07729858+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99876567+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99305003+0.j]]),\n      array([[-0.04967037+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.04995626+0.j]]),\n      array([[0.        +0.j, 0.10656461+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['ZI'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[0.99967409+0.j, 0.        +0.j],\n             [0.        +0.j, 0.99667914+0.j]]),\n      array([[-0.0255285 +0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02560522+0.j]]),\n      array([[0.        +0.j, 0.07729858+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99876567+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99305003+0.j]]),\n      array([[-0.04967037+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.04995626+0.j]]),\n      array([[0.        +0.j, 0.10656461+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['ZX'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[0.99967409+0.j, 0.        +0.j],\n             [0.        +0.j, 0.99667914+0.j]]),\n      array([[-0.0255285 +0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02560522+0.j]]),\n      array([[0.        +0.j, 0.07729858+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99876567+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99305003+0.j]]),\n      array([[-0.04967037+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.04995626+0.j]]),\n      array([[0.        +0.j, 0.10656461+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['ZY'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[0.99967409+0.j, 0.        +0.j],\n             [0.        +0.j, 0.99667914+0.j]]),\n      array([[-0.0255285 +0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02560522+0.j]]),\n      array([[0.        +0.j, 0.07729858+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99876567+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99305003+0.j]]),\n      array([[-0.04967037+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.04995626+0.j]]),\n      array([[0.        +0.j, 0.10656461+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['ZZ'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[0.99967409+0.j, 0.        +0.j],\n             [0.        +0.j, 0.99667914+0.j]]),\n      array([[-0.0255285 +0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02560522+0.j]]),\n      array([[0.        +0.j, 0.07729858+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99876567+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99305003+0.j]]),\n      array([[-0.04967037+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.04995626+0.j]]),\n      array([[0.        +0.j, 0.10656461+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}]],\n  'probabilities': [0.9995255433387908,\n   3.163044408061718e-05,\n   3.163044408061718e-05,\n   3.163044408061718e-05,\n   3.163044408061718e-05,\n   3.163044408061718e-05,\n   3.163044408061718e-05,\n   3.163044408061718e-05,\n   3.163044408061718e-05,\n   3.163044408061718e-05,\n   3.163044408061718e-05,\n   3.163044408061718e-05,\n   3.163044408061718e-05,\n   3.163044408061718e-05,\n   3.163044408061718e-05,\n   3.163044408061718e-05],\n  'gate_qubits': [(1, 3)]},\n {'type': 'qerror',\n  'id': 'bd58a3a86bef4d0887070b331136d80e',\n  'operations': ['cx'],\n  'instructions': [[{'name': 'pauli', 'params': ['II'], 'qubits': [0, 1]},\n    {'name': 'id', 'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99980395+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.9980066 +0.j]]),\n      array([[-0.01980069+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01983635+0.j]]),\n      array([[0.        +0.j, 0.05991109+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['II'], 'qubits': [0, 1]},\n    {'name': 'z', 'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99980395+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.9980066 +0.j]]),\n      array([[-0.01980069+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01983635+0.j]]),\n      array([[0.        +0.j, 0.05991109+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['II'], 'qubits': [0, 1]},\n    {'name': 'reset', 'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99980395+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.9980066 +0.j]]),\n      array([[-0.01980069+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01983635+0.j]]),\n      array([[0.        +0.j, 0.05991109+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['IX'], 'qubits': [0, 1]},\n    {'name': 'id', 'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99980395+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.9980066 +0.j]]),\n      array([[-0.01980069+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01983635+0.j]]),\n      array([[0.        +0.j, 0.05991109+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['IX'], 'qubits': [0, 1]},\n    {'name': 'z', 'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99980395+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.9980066 +0.j]]),\n      array([[-0.01980069+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01983635+0.j]]),\n      array([[0.        +0.j, 0.05991109+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['IX'], 'qubits': [0, 1]},\n    {'name': 'reset', 'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99980395+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.9980066 +0.j]]),\n      array([[-0.01980069+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01983635+0.j]]),\n      array([[0.        +0.j, 0.05991109+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['IY'], 'qubits': [0, 1]},\n    {'name': 'id', 'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99980395+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.9980066 +0.j]]),\n      array([[-0.01980069+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01983635+0.j]]),\n      array([[0.        +0.j, 0.05991109+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['IY'], 'qubits': [0, 1]},\n    {'name': 'z', 'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99980395+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.9980066 +0.j]]),\n      array([[-0.01980069+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01983635+0.j]]),\n      array([[0.        +0.j, 0.05991109+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['IY'], 'qubits': [0, 1]},\n    {'name': 'reset', 'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99980395+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.9980066 +0.j]]),\n      array([[-0.01980069+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01983635+0.j]]),\n      array([[0.        +0.j, 0.05991109+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['IZ'], 'qubits': [0, 1]},\n    {'name': 'id', 'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99980395+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.9980066 +0.j]]),\n      array([[-0.01980069+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01983635+0.j]]),\n      array([[0.        +0.j, 0.05991109+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['IZ'], 'qubits': [0, 1]},\n    {'name': 'z', 'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99980395+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.9980066 +0.j]]),\n      array([[-0.01980069+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01983635+0.j]]),\n      array([[0.        +0.j, 0.05991109+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['IZ'], 'qubits': [0, 1]},\n    {'name': 'reset', 'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99980395+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.9980066 +0.j]]),\n      array([[-0.01980069+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01983635+0.j]]),\n      array([[0.        +0.j, 0.05991109+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['XI'], 'qubits': [0, 1]},\n    {'name': 'id', 'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99980395+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.9980066 +0.j]]),\n      array([[-0.01980069+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01983635+0.j]]),\n      array([[0.        +0.j, 0.05991109+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['XI'], 'qubits': [0, 1]},\n    {'name': 'z', 'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99980395+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.9980066 +0.j]]),\n      array([[-0.01980069+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01983635+0.j]]),\n      array([[0.        +0.j, 0.05991109+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['XI'], 'qubits': [0, 1]},\n    {'name': 'reset', 'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99980395+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.9980066 +0.j]]),\n      array([[-0.01980069+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01983635+0.j]]),\n      array([[0.        +0.j, 0.05991109+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['XX'], 'qubits': [0, 1]},\n    {'name': 'id', 'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99980395+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.9980066 +0.j]]),\n      array([[-0.01980069+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01983635+0.j]]),\n      array([[0.        +0.j, 0.05991109+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['XX'], 'qubits': [0, 1]},\n    {'name': 'z', 'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99980395+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.9980066 +0.j]]),\n      array([[-0.01980069+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01983635+0.j]]),\n      array([[0.        +0.j, 0.05991109+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['XX'], 'qubits': [0, 1]},\n    {'name': 'reset', 'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99980395+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.9980066 +0.j]]),\n      array([[-0.01980069+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01983635+0.j]]),\n      array([[0.        +0.j, 0.05991109+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['XY'], 'qubits': [0, 1]},\n    {'name': 'id', 'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99980395+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.9980066 +0.j]]),\n      array([[-0.01980069+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01983635+0.j]]),\n      array([[0.        +0.j, 0.05991109+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['XY'], 'qubits': [0, 1]},\n    {'name': 'z', 'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99980395+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.9980066 +0.j]]),\n      array([[-0.01980069+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01983635+0.j]]),\n      array([[0.        +0.j, 0.05991109+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['XY'], 'qubits': [0, 1]},\n    {'name': 'reset', 'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99980395+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.9980066 +0.j]]),\n      array([[-0.01980069+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01983635+0.j]]),\n      array([[0.        +0.j, 0.05991109+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['XZ'], 'qubits': [0, 1]},\n    {'name': 'id', 'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99980395+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.9980066 +0.j]]),\n      array([[-0.01980069+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01983635+0.j]]),\n      array([[0.        +0.j, 0.05991109+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['XZ'], 'qubits': [0, 1]},\n    {'name': 'z', 'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99980395+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.9980066 +0.j]]),\n      array([[-0.01980069+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01983635+0.j]]),\n      array([[0.        +0.j, 0.05991109+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['XZ'], 'qubits': [0, 1]},\n    {'name': 'reset', 'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99980395+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.9980066 +0.j]]),\n      array([[-0.01980069+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01983635+0.j]]),\n      array([[0.        +0.j, 0.05991109+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['YI'], 'qubits': [0, 1]},\n    {'name': 'id', 'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99980395+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.9980066 +0.j]]),\n      array([[-0.01980069+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01983635+0.j]]),\n      array([[0.        +0.j, 0.05991109+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['YI'], 'qubits': [0, 1]},\n    {'name': 'z', 'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99980395+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.9980066 +0.j]]),\n      array([[-0.01980069+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01983635+0.j]]),\n      array([[0.        +0.j, 0.05991109+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['YI'], 'qubits': [0, 1]},\n    {'name': 'reset', 'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99980395+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.9980066 +0.j]]),\n      array([[-0.01980069+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01983635+0.j]]),\n      array([[0.        +0.j, 0.05991109+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['YX'], 'qubits': [0, 1]},\n    {'name': 'id', 'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99980395+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.9980066 +0.j]]),\n      array([[-0.01980069+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01983635+0.j]]),\n      array([[0.        +0.j, 0.05991109+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['YX'], 'qubits': [0, 1]},\n    {'name': 'z', 'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99980395+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.9980066 +0.j]]),\n      array([[-0.01980069+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01983635+0.j]]),\n      array([[0.        +0.j, 0.05991109+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['YX'], 'qubits': [0, 1]},\n    {'name': 'reset', 'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99980395+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.9980066 +0.j]]),\n      array([[-0.01980069+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01983635+0.j]]),\n      array([[0.        +0.j, 0.05991109+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['YY'], 'qubits': [0, 1]},\n    {'name': 'id', 'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99980395+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.9980066 +0.j]]),\n      array([[-0.01980069+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01983635+0.j]]),\n      array([[0.        +0.j, 0.05991109+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['YY'], 'qubits': [0, 1]},\n    {'name': 'z', 'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99980395+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.9980066 +0.j]]),\n      array([[-0.01980069+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01983635+0.j]]),\n      array([[0.        +0.j, 0.05991109+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['YY'], 'qubits': [0, 1]},\n    {'name': 'reset', 'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99980395+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.9980066 +0.j]]),\n      array([[-0.01980069+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01983635+0.j]]),\n      array([[0.        +0.j, 0.05991109+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['YZ'], 'qubits': [0, 1]},\n    {'name': 'id', 'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99980395+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.9980066 +0.j]]),\n      array([[-0.01980069+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01983635+0.j]]),\n      array([[0.        +0.j, 0.05991109+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['YZ'], 'qubits': [0, 1]},\n    {'name': 'z', 'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99980395+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.9980066 +0.j]]),\n      array([[-0.01980069+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01983635+0.j]]),\n      array([[0.        +0.j, 0.05991109+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['YZ'], 'qubits': [0, 1]},\n    {'name': 'reset', 'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99980395+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.9980066 +0.j]]),\n      array([[-0.01980069+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01983635+0.j]]),\n      array([[0.        +0.j, 0.05991109+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['ZI'], 'qubits': [0, 1]},\n    {'name': 'id', 'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99980395+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.9980066 +0.j]]),\n      array([[-0.01980069+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01983635+0.j]]),\n      array([[0.        +0.j, 0.05991109+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['ZI'], 'qubits': [0, 1]},\n    {'name': 'z', 'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99980395+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.9980066 +0.j]]),\n      array([[-0.01980069+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01983635+0.j]]),\n      array([[0.        +0.j, 0.05991109+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['ZI'], 'qubits': [0, 1]},\n    {'name': 'reset', 'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99980395+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.9980066 +0.j]]),\n      array([[-0.01980069+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01983635+0.j]]),\n      array([[0.        +0.j, 0.05991109+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['ZX'], 'qubits': [0, 1]},\n    {'name': 'id', 'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99980395+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.9980066 +0.j]]),\n      array([[-0.01980069+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01983635+0.j]]),\n      array([[0.        +0.j, 0.05991109+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['ZX'], 'qubits': [0, 1]},\n    {'name': 'z', 'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99980395+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.9980066 +0.j]]),\n      array([[-0.01980069+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01983635+0.j]]),\n      array([[0.        +0.j, 0.05991109+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['ZX'], 'qubits': [0, 1]},\n    {'name': 'reset', 'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99980395+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.9980066 +0.j]]),\n      array([[-0.01980069+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01983635+0.j]]),\n      array([[0.        +0.j, 0.05991109+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['ZY'], 'qubits': [0, 1]},\n    {'name': 'id', 'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99980395+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.9980066 +0.j]]),\n      array([[-0.01980069+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01983635+0.j]]),\n      array([[0.        +0.j, 0.05991109+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['ZY'], 'qubits': [0, 1]},\n    {'name': 'z', 'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99980395+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.9980066 +0.j]]),\n      array([[-0.01980069+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01983635+0.j]]),\n      array([[0.        +0.j, 0.05991109+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['ZY'], 'qubits': [0, 1]},\n    {'name': 'reset', 'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99980395+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.9980066 +0.j]]),\n      array([[-0.01980069+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01983635+0.j]]),\n      array([[0.        +0.j, 0.05991109+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['ZZ'], 'qubits': [0, 1]},\n    {'name': 'id', 'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99980395+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.9980066 +0.j]]),\n      array([[-0.01980069+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01983635+0.j]]),\n      array([[0.        +0.j, 0.05991109+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['ZZ'], 'qubits': [0, 1]},\n    {'name': 'z', 'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99980395+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.9980066 +0.j]]),\n      array([[-0.01980069+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01983635+0.j]]),\n      array([[0.        +0.j, 0.05991109+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['ZZ'], 'qubits': [0, 1]},\n    {'name': 'reset', 'qubits': [0]},\n    {'name': 'kraus',\n     'params': [array([[-0.99980395+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.9980066 +0.j]]),\n      array([[-0.01980069+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.01983635+0.j]]),\n      array([[0.        +0.j, 0.05991109+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [1]}]],\n  'probabilities': [0.9940072181864451,\n   0.00013591341949013448,\n   0.0028652325617168897,\n   0.00019884203706563498,\n   2.718823435234391e-08,\n   5.73163523176459e-07,\n   0.00019884203706563498,\n   2.718823435234391e-08,\n   5.73163523176459e-07,\n   0.00019884203706563498,\n   2.718823435234391e-08,\n   5.73163523176459e-07,\n   0.00019884203706563498,\n   2.718823435234391e-08,\n   5.73163523176459e-07,\n   0.00019884203706563498,\n   2.718823435234391e-08,\n   5.73163523176459e-07,\n   0.00019884203706563498,\n   2.718823435234391e-08,\n   5.73163523176459e-07,\n   0.00019884203706563498,\n   2.718823435234391e-08,\n   5.73163523176459e-07,\n   0.00019884203706563498,\n   2.718823435234391e-08,\n   5.73163523176459e-07,\n   0.00019884203706563498,\n   2.718823435234391e-08,\n   5.73163523176459e-07,\n   0.00019884203706563498,\n   2.718823435234391e-08,\n   5.73163523176459e-07,\n   0.00019884203706563498,\n   2.718823435234391e-08,\n   5.73163523176459e-07,\n   0.00019884203706563498,\n   2.718823435234391e-08,\n   5.73163523176459e-07,\n   0.00019884203706563498,\n   2.718823435234391e-08,\n   5.73163523176459e-07,\n   0.00019884203706563498,\n   2.718823435234391e-08,\n   5.73163523176459e-07,\n   0.00019884203706563498,\n   2.718823435234391e-08,\n   5.73163523176459e-07],\n  'gate_qubits': [(2, 1)]},\n {'type': 'qerror',\n  'id': 'cac424b684494cea8a1b409d2218857d',\n  'operations': ['cx'],\n  'instructions': [[{'name': 'pauli', 'params': ['II'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[-0.99978071+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99776947+0.j]]),\n      array([[-0.02094118+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02098339+0.j]]),\n      array([[0.        +0.j, 0.06337019+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'id', 'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['II'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[-0.99978071+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99776947+0.j]]),\n      array([[-0.02094118+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02098339+0.j]]),\n      array([[0.        +0.j, 0.06337019+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'z', 'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['II'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[-0.99978071+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99776947+0.j]]),\n      array([[-0.02094118+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02098339+0.j]]),\n      array([[0.        +0.j, 0.06337019+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'reset', 'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['IX'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[-0.99978071+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99776947+0.j]]),\n      array([[-0.02094118+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02098339+0.j]]),\n      array([[0.        +0.j, 0.06337019+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'id', 'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['IX'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[-0.99978071+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99776947+0.j]]),\n      array([[-0.02094118+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02098339+0.j]]),\n      array([[0.        +0.j, 0.06337019+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'z', 'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['IX'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[-0.99978071+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99776947+0.j]]),\n      array([[-0.02094118+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02098339+0.j]]),\n      array([[0.        +0.j, 0.06337019+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'reset', 'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['IY'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[-0.99978071+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99776947+0.j]]),\n      array([[-0.02094118+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02098339+0.j]]),\n      array([[0.        +0.j, 0.06337019+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'id', 'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['IY'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[-0.99978071+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99776947+0.j]]),\n      array([[-0.02094118+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02098339+0.j]]),\n      array([[0.        +0.j, 0.06337019+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'z', 'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['IY'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[-0.99978071+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99776947+0.j]]),\n      array([[-0.02094118+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02098339+0.j]]),\n      array([[0.        +0.j, 0.06337019+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'reset', 'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['IZ'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[-0.99978071+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99776947+0.j]]),\n      array([[-0.02094118+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02098339+0.j]]),\n      array([[0.        +0.j, 0.06337019+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'id', 'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['IZ'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[-0.99978071+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99776947+0.j]]),\n      array([[-0.02094118+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02098339+0.j]]),\n      array([[0.        +0.j, 0.06337019+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'z', 'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['IZ'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[-0.99978071+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99776947+0.j]]),\n      array([[-0.02094118+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02098339+0.j]]),\n      array([[0.        +0.j, 0.06337019+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'reset', 'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['XI'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[-0.99978071+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99776947+0.j]]),\n      array([[-0.02094118+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02098339+0.j]]),\n      array([[0.        +0.j, 0.06337019+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'id', 'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['XI'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[-0.99978071+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99776947+0.j]]),\n      array([[-0.02094118+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02098339+0.j]]),\n      array([[0.        +0.j, 0.06337019+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'z', 'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['XI'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[-0.99978071+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99776947+0.j]]),\n      array([[-0.02094118+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02098339+0.j]]),\n      array([[0.        +0.j, 0.06337019+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'reset', 'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['XX'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[-0.99978071+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99776947+0.j]]),\n      array([[-0.02094118+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02098339+0.j]]),\n      array([[0.        +0.j, 0.06337019+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'id', 'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['XX'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[-0.99978071+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99776947+0.j]]),\n      array([[-0.02094118+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02098339+0.j]]),\n      array([[0.        +0.j, 0.06337019+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'z', 'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['XX'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[-0.99978071+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99776947+0.j]]),\n      array([[-0.02094118+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02098339+0.j]]),\n      array([[0.        +0.j, 0.06337019+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'reset', 'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['XY'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[-0.99978071+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99776947+0.j]]),\n      array([[-0.02094118+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02098339+0.j]]),\n      array([[0.        +0.j, 0.06337019+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'id', 'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['XY'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[-0.99978071+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99776947+0.j]]),\n      array([[-0.02094118+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02098339+0.j]]),\n      array([[0.        +0.j, 0.06337019+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'z', 'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['XY'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[-0.99978071+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99776947+0.j]]),\n      array([[-0.02094118+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02098339+0.j]]),\n      array([[0.        +0.j, 0.06337019+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'reset', 'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['XZ'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[-0.99978071+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99776947+0.j]]),\n      array([[-0.02094118+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02098339+0.j]]),\n      array([[0.        +0.j, 0.06337019+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'id', 'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['XZ'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[-0.99978071+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99776947+0.j]]),\n      array([[-0.02094118+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02098339+0.j]]),\n      array([[0.        +0.j, 0.06337019+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'z', 'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['XZ'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[-0.99978071+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99776947+0.j]]),\n      array([[-0.02094118+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02098339+0.j]]),\n      array([[0.        +0.j, 0.06337019+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'reset', 'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['YI'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[-0.99978071+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99776947+0.j]]),\n      array([[-0.02094118+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02098339+0.j]]),\n      array([[0.        +0.j, 0.06337019+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'id', 'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['YI'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[-0.99978071+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99776947+0.j]]),\n      array([[-0.02094118+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02098339+0.j]]),\n      array([[0.        +0.j, 0.06337019+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'z', 'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['YI'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[-0.99978071+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99776947+0.j]]),\n      array([[-0.02094118+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02098339+0.j]]),\n      array([[0.        +0.j, 0.06337019+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'reset', 'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['YX'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[-0.99978071+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99776947+0.j]]),\n      array([[-0.02094118+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02098339+0.j]]),\n      array([[0.        +0.j, 0.06337019+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'id', 'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['YX'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[-0.99978071+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99776947+0.j]]),\n      array([[-0.02094118+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02098339+0.j]]),\n      array([[0.        +0.j, 0.06337019+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'z', 'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['YX'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[-0.99978071+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99776947+0.j]]),\n      array([[-0.02094118+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02098339+0.j]]),\n      array([[0.        +0.j, 0.06337019+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'reset', 'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['YY'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[-0.99978071+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99776947+0.j]]),\n      array([[-0.02094118+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02098339+0.j]]),\n      array([[0.        +0.j, 0.06337019+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'id', 'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['YY'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[-0.99978071+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99776947+0.j]]),\n      array([[-0.02094118+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02098339+0.j]]),\n      array([[0.        +0.j, 0.06337019+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'z', 'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['YY'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[-0.99978071+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99776947+0.j]]),\n      array([[-0.02094118+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02098339+0.j]]),\n      array([[0.        +0.j, 0.06337019+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'reset', 'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['YZ'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[-0.99978071+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99776947+0.j]]),\n      array([[-0.02094118+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02098339+0.j]]),\n      array([[0.        +0.j, 0.06337019+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'id', 'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['YZ'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[-0.99978071+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99776947+0.j]]),\n      array([[-0.02094118+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02098339+0.j]]),\n      array([[0.        +0.j, 0.06337019+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'z', 'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['YZ'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[-0.99978071+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99776947+0.j]]),\n      array([[-0.02094118+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02098339+0.j]]),\n      array([[0.        +0.j, 0.06337019+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'reset', 'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['ZI'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[-0.99978071+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99776947+0.j]]),\n      array([[-0.02094118+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02098339+0.j]]),\n      array([[0.        +0.j, 0.06337019+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'id', 'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['ZI'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[-0.99978071+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99776947+0.j]]),\n      array([[-0.02094118+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02098339+0.j]]),\n      array([[0.        +0.j, 0.06337019+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'z', 'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['ZI'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[-0.99978071+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99776947+0.j]]),\n      array([[-0.02094118+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02098339+0.j]]),\n      array([[0.        +0.j, 0.06337019+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'reset', 'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['ZX'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[-0.99978071+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99776947+0.j]]),\n      array([[-0.02094118+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02098339+0.j]]),\n      array([[0.        +0.j, 0.06337019+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'id', 'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['ZX'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[-0.99978071+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99776947+0.j]]),\n      array([[-0.02094118+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02098339+0.j]]),\n      array([[0.        +0.j, 0.06337019+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'z', 'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['ZX'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[-0.99978071+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99776947+0.j]]),\n      array([[-0.02094118+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02098339+0.j]]),\n      array([[0.        +0.j, 0.06337019+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'reset', 'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['ZY'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[-0.99978071+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99776947+0.j]]),\n      array([[-0.02094118+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02098339+0.j]]),\n      array([[0.        +0.j, 0.06337019+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'id', 'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['ZY'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[-0.99978071+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99776947+0.j]]),\n      array([[-0.02094118+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02098339+0.j]]),\n      array([[0.        +0.j, 0.06337019+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'z', 'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['ZY'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[-0.99978071+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99776947+0.j]]),\n      array([[-0.02094118+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02098339+0.j]]),\n      array([[0.        +0.j, 0.06337019+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'reset', 'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['ZZ'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[-0.99978071+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99776947+0.j]]),\n      array([[-0.02094118+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02098339+0.j]]),\n      array([[0.        +0.j, 0.06337019+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'id', 'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['ZZ'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[-0.99978071+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99776947+0.j]]),\n      array([[-0.02094118+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02098339+0.j]]),\n      array([[0.        +0.j, 0.06337019+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'z', 'qubits': [1]}],\n   [{'name': 'pauli', 'params': ['ZZ'], 'qubits': [0, 1]},\n    {'name': 'kraus',\n     'params': [array([[-0.99978071+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.99776947+0.j]]),\n      array([[-0.02094118+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.02098339+0.j]]),\n      array([[0.        +0.j, 0.06337019+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]},\n    {'name': 'reset', 'qubits': [1]}]],\n  'probabilities': [0.9941810563844911,\n   0.0001521201873156958,\n   0.0032074943135281327,\n   0.00016340308979041516,\n   2.5002396160391345e-08,\n   5.271821243725112e-07,\n   0.00016340308979041516,\n   2.5002396160391345e-08,\n   5.271821243725112e-07,\n   0.00016340308979041516,\n   2.5002396160391345e-08,\n   5.271821243725112e-07,\n   0.00016340308979041516,\n   2.5002396160391345e-08,\n   5.271821243725112e-07,\n   0.00016340308979041516,\n   2.5002396160391345e-08,\n   5.271821243725112e-07,\n   0.00016340308979041516,\n   2.5002396160391345e-08,\n   5.271821243725112e-07,\n   0.00016340308979041516,\n   2.5002396160391345e-08,\n   5.271821243725112e-07,\n   0.00016340308979041516,\n   2.5002396160391345e-08,\n   5.271821243725112e-07,\n   0.00016340308979041516,\n   2.5002396160391345e-08,\n   5.271821243725112e-07,\n   0.00016340308979041516,\n   2.5002396160391345e-08,\n   5.271821243725112e-07,\n   0.00016340308979041516,\n   2.5002396160391345e-08,\n   5.271821243725112e-07,\n   0.00016340308979041516,\n   2.5002396160391345e-08,\n   5.271821243725112e-07,\n   0.00016340308979041516,\n   2.5002396160391345e-08,\n   5.271821243725112e-07,\n   0.00016340308979041516,\n   2.5002396160391345e-08,\n   5.271821243725112e-07,\n   0.00016340308979041516,\n   2.5002396160391345e-08,\n   5.271821243725112e-07],\n  'gate_qubits': [(1, 2)]},\n {'type': 'qerror',\n  'id': '3741a982eb5f4110a8933eacd44ad4ad',\n  'operations': ['reset'],\n  'instructions': [[{'name': 'kraus',\n     'params': [array([[-0.99700799+0.j,  0.        +0.j],\n             [ 0.        +0.j, -0.94958281+0.j]]),\n      array([[-0.07729859+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.08115913+0.j]]),\n      array([[0.        +0.j, 0.30282946+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]}]],\n  'probabilities': [1.0],\n  'gate_qubits': [(0,)]},\n {'type': 'qerror',\n  'id': '614f09a856b84d189bd7b98d2fdf60d9',\n  'operations': ['reset'],\n  'instructions': [[{'name': 'kraus',\n     'params': [array([[0.99649528+0.j, 0.        +0.j],\n             [0.        +0.j, 0.96213108+0.j]]),\n      array([[-0.08364904+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.08663671+0.j]]),\n      array([[0.        +0.j, 0.25845282+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]}]],\n  'probabilities': [1.0],\n  'gate_qubits': [(1,)]},\n {'type': 'qerror',\n  'id': '181b41b0800845079bd25ff3e2ff7c29',\n  'operations': ['reset'],\n  'instructions': [[{'name': 'id', 'qubits': [0]}],\n   [{'name': 'z', 'qubits': [0]}],\n   [{'name': 'reset', 'qubits': [0]}]],\n  'probabilities': [0.943689821933232,\n   0.002480814633184378,\n   0.05382936343358358],\n  'gate_qubits': [(2,)]},\n {'type': 'qerror',\n  'id': '55d6da62833f4a55a489c61903dd9b59',\n  'operations': ['reset'],\n  'instructions': [[{'name': 'kraus',\n     'params': [array([[0.98773946+0.j, 0.        +0.j],\n             [0.        +0.j, 0.92116225+0.j]]),\n      array([[-0.15611136+0.j,  0.        +0.j],\n             [ 0.        +0.j,  0.16739434+0.j]]),\n      array([[0.        +0.j, 0.35133922+0.j],\n             [0.        +0.j, 0.        +0.j]])],\n     'qubits': [0]}]],\n  'probabilities': [1.0],\n  'gate_qubits': [(3,)]},\n {'type': 'qerror',\n  'id': '113540dc67a349da95664a1c0e2f48b3',\n  'operations': ['reset'],\n  'instructions': [[{'name': 'id', 'qubits': [0]}],\n   [{'name': 'z', 'qubits': [0]}],\n   [{'name': 'reset', 'qubits': [0]}]],\n  'probabilities': [0.7130369762989053,\n   0.007827230531871844,\n   0.2791357931692229],\n  'gate_qubits': [(4,)]},\n {'type': 'roerror',\n  'operations': ['measure'],\n  'probabilities': [[0.9882, 0.011800000000000033], [0.0404, 0.9596]],\n  'gate_qubits': [(0,)]},\n {'type': 'roerror',\n  'operations': ['measure'],\n  'probabilities': [[0.9888, 0.0112], [0.028800000000000048, 0.9712]],\n  'gate_qubits': [(1,)]},\n {'type': 'roerror',\n  'operations': ['measure'],\n  'probabilities': [[0.9928, 0.007199999999999984], [0.026, 0.974]],\n  'gate_qubits': [(2,)]},\n {'type': 'roerror',\n  'operations': ['measure'],\n  'probabilities': [[0.9752, 0.0248], [0.07820000000000005, 0.9218]],\n  'gate_qubits': [(3,)]},\n {'type': 'roerror',\n  'operations': ['measure'],\n  'probabilities': [[0.9808, 0.0192], [0.0958, 0.9042]],\n  'gate_qubits': [(4,)]}]"
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "noise_model = NoiseModel.from_backend(FakeLima())\n",
    "noise_dict = noise_model.to_dict()['errors']\n",
    "noise_dict"
   ],
   "metadata": {
    "collapsed": false
   },
   "id": "feeab8ed51d3c8fb",
   "execution_count": 4
  },
  {
   "cell_type": "code",
   "outputs": [
    {
     "data": {
      "text/plain": "{(0,): ReadoutError([[0.9882 0.0118]\n  [0.0404 0.9596]]),\n (1,): ReadoutError([[0.9888 0.0112]\n  [0.0288 0.9712]]),\n (2,): ReadoutError([[0.9928 0.0072]\n  [0.026  0.974 ]]),\n (3,): ReadoutError([[0.9752 0.0248]\n  [0.0782 0.9218]]),\n (4,): ReadoutError([[0.9808 0.0192]\n  [0.0958 0.9042]])}"
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "noise_model = NoiseModel.from_backend(FakeLima())\n",
    "noise_model._local_readout_errors"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-07-24T19:40:20.836007Z",
     "start_time": "2024-07-24T19:40:20.751076Z"
    }
   },
   "id": "8971123271448c0c",
   "execution_count": 30
  },
  {
   "cell_type": "markdown",
   "source": [],
   "metadata": {
    "collapsed": false
   },
   "id": "b79dc4919737ae45"
  },
  {
   "cell_type": "markdown",
   "source": [],
   "metadata": {
    "collapsed": false
   },
   "id": "249ff564ac47eca8"
  },
  {
   "cell_type": "code",
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.012045820265615542 0.0008869005556284779\n",
      "0.0004377446555523301 6.374067470287409e-05\n",
      "0.0004377446555523301 6.374067470287409e-05\n"
     ]
    }
   ],
   "source": [
    "noise_model = NoiseModel.from_backend(FakeLima())\n",
    "\n",
    "gate_set = ['cx', 'x', 'sx']\n",
    "for g in gate_set:\n",
    "    all_infids = [1-average_gate_fidelity(x) for x in noise_model._local_quantum_errors[g].values()]\n",
    "    print(np.mean(all_infids), np.std(all_infids)/len(all_infids))"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-07-24T19:31:46.237192Z",
     "start_time": "2024-07-24T19:31:46.149674Z"
    }
   },
   "id": "18ccef5e3b026d9b",
   "execution_count": 20
  },
  {
   "cell_type": "code",
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.013986040396766028 0.00026547523201857334\n",
      "0.0004076419666134257 2.9369164240261466e-05\n",
      "0.0004076419666134257 2.9369164240261466e-05\n"
     ]
    }
   ],
   "source": [
    "noise_model = NoiseModel.from_backend(FakeBelem())\n",
    "\n",
    "gate_set = ['cx', 'x', 'sx']\n",
    "for g in gate_set:\n",
    "    all_infids = [1-average_gate_fidelity(x) for x in noise_model._local_quantum_errors[g].values()]\n",
    "    print(np.mean(all_infids), np.std(all_infids)/len(all_infids))"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-07-24T19:34:01.791081Z",
     "start_time": "2024-07-24T19:34:01.598546Z"
    }
   },
   "id": "5c3d7f1978424fea",
   "execution_count": 21
  },
  {
   "cell_type": "code",
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "random seed fixed to 0\n",
      "thetas [0.06896594 0.08987335 0.07574548 0.06847204 0.05323803 0.08116545\n",
      " 0.05498883 0.1120635 ]\n",
      "0.019089432060830455 0.0015271227059501641\n",
      "0.0004377446555523301 6.374067470287409e-05\n",
      "0.0004377446555523301 6.374067470287409e-05\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/haoranliao/anaconda3/envs/mlqem/lib/python3.8/site-packages/numpy/linalg/linalg.py:2154: RuntimeWarning: divide by zero encountered in det\n",
      "  r = _umath_linalg.det(a, signature=signature)\n",
      "/Users/haoranliao/anaconda3/envs/mlqem/lib/python3.8/site-packages/numpy/linalg/linalg.py:2154: RuntimeWarning: invalid value encountered in det\n",
      "  r = _umath_linalg.det(a, signature=signature)\n"
     ]
    }
   ],
   "source": [
    "# Local, coherent noise\n",
    "backend_ideal = QasmSimulator() # Noiseless\n",
    "backend_noisy_coherent, noise_model = AddNoise(backend=FakeLima()).add_coherent_noise(seed=0, theta=np.pi * 0.04, uniform=False, add_depolarization=True)\n",
    "\n",
    "gate_set = ['cx', 'x', 'sx']\n",
    "for g in gate_set:\n",
    "    all_infids = [1-average_gate_fidelity(x) for x in noise_model._local_quantum_errors[g].values()]\n",
    "    print(np.mean(all_infids), np.std(all_infids)/len(all_infids))"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-07-24T19:36:31.618682Z",
     "start_time": "2024-07-24T19:36:31.324Z"
    }
   },
   "id": "6106b07c66179d8f",
   "execution_count": 23
  },
  {
   "cell_type": "code",
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "random seed fixed to 0\n",
      "thetas [0.06896594 0.08987335 0.07574548 0.06847204 0.05323803 0.08116545\n",
      " 0.05498883 0.1120635 ]\n",
      "0.02046203937948117 0.00031919860632930944\n",
      "0.0004076419666134257 2.9369164240261466e-05\n",
      "0.0004076419666134257 2.9369164240261466e-05\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/haoranliao/anaconda3/envs/mlqem/lib/python3.8/site-packages/numpy/linalg/linalg.py:2154: RuntimeWarning: divide by zero encountered in det\n",
      "  r = _umath_linalg.det(a, signature=signature)\n",
      "/Users/haoranliao/anaconda3/envs/mlqem/lib/python3.8/site-packages/numpy/linalg/linalg.py:2154: RuntimeWarning: invalid value encountered in det\n",
      "  r = _umath_linalg.det(a, signature=signature)\n"
     ]
    }
   ],
   "source": [
    "# Local, coherent noise\n",
    "backend_ideal = QasmSimulator() # Noiseless\n",
    "backend_noisy_coherent, noise_model = AddNoise(backend=FakeBelem()).add_coherent_noise(seed=0, theta=np.pi * 0.04, uniform=False, add_depolarization=True)\n",
    "\n",
    "gate_set = ['cx', 'x', 'sx']\n",
    "for g in gate_set:\n",
    "    all_infids = [1-average_gate_fidelity(x) for x in noise_model._local_quantum_errors[g].values()]\n",
    "    print(np.mean(all_infids), np.std(all_infids)/len(all_infids))"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-07-24T19:36:36.705840Z",
     "start_time": "2024-07-24T19:36:36.438571Z"
    }
   },
   "id": "8f9cc514ebf7d551",
   "execution_count": 24
  },
  {
   "cell_type": "markdown",
   "source": [],
   "metadata": {
    "collapsed": false
   },
   "id": "79145b3c34588ab8"
  },
  {
   "cell_type": "markdown",
   "source": [],
   "metadata": {
    "collapsed": false
   },
   "id": "d490881aa3a51b88"
  },
  {
   "cell_type": "code",
   "outputs": [
    {
     "data": {
      "text/plain": "{'name': 'fake_belem',\n 'gates_set': ['rz', 'x', 'id', 'cx', 'sx', 'reset'],\n 'num_qubits': 5,\n 'qubits_props': {0: {'index': 0,\n   't1': 8.857848970762537e-05,\n   't2': 0.00010679794866226273,\n   'readout_error': 0.04139999999999999},\n  1: {'index': 1,\n   't1': 7.805043996837796e-05,\n   't2': 6.376578004446572e-05,\n   'readout_error': 0.03200000000000003},\n  2: {'index': 2,\n   't1': 6.932578590725382e-05,\n   't2': 3.8623766504632775e-05,\n   'readout_error': 0.02400000000000002},\n  3: {'index': 3,\n   't1': 5.361400062698815e-05,\n   't2': 5.6469814445204655e-05,\n   'readout_error': 0.03400000000000003},\n  4: {'index': 4,\n   't1': 0.00011055756502325884,\n   't2': 0.0001316820368187947,\n   'readout_error': 0.02059999999999995}},\n 'gate_props': {'id_0': {'index': 'id_0',\n   'gate_error': 0.00023078387665829674,\n   'gate_length': 35.55555555555556},\n  'id_1': {'index': 'id_1',\n   'gate_error': 0.0004110884185250172,\n   'gate_length': 35.55555555555556},\n  'id_2': {'index': 'id_2',\n   'gate_error': 0.0002969675038967522,\n   'gate_length': 35.55555555555556},\n  'id_3': {'index': 'id_3',\n   'gate_error': 0.0006730368432933634,\n   'gate_length': 35.55555555555556},\n  'id_4': {'index': 'id_4',\n   'gate_error': 0.00033113055580526814,\n   'gate_length': 35.55555555555556},\n  'rz_0': {'index': 'rz_0', 'gate_error': 0, 'gate_length': 0},\n  'rz_1': {'index': 'rz_1', 'gate_error': 0, 'gate_length': 0},\n  'rz_2': {'index': 'rz_2', 'gate_error': 0, 'gate_length': 0},\n  'rz_3': {'index': 'rz_3', 'gate_error': 0, 'gate_length': 0},\n  'rz_4': {'index': 'rz_4', 'gate_error': 0, 'gate_length': 0},\n  'sx_0': {'index': 'sx_0',\n   'gate_error': 0.00023078387665829674,\n   'gate_length': 35.55555555555556},\n  'sx_1': {'index': 'sx_1',\n   'gate_error': 0.0004110884185250172,\n   'gate_length': 35.55555555555556},\n  'sx_2': {'index': 'sx_2',\n   'gate_error': 0.0002969675038967522,\n   'gate_length': 35.55555555555556},\n  'sx_3': {'index': 'sx_3',\n   'gate_error': 0.0006730368432933634,\n   'gate_length': 35.55555555555556},\n  'sx_4': {'index': 'sx_4',\n   'gate_error': 0.00033113055580526814,\n   'gate_length': 35.55555555555556},\n  'x_0': {'index': 'x_0',\n   'gate_error': 0.00023078387665829674,\n   'gate_length': 35.55555555555556},\n  'x_1': {'index': 'x_1',\n   'gate_error': 0.0004110884185250172,\n   'gate_length': 35.55555555555556},\n  'x_2': {'index': 'x_2',\n   'gate_error': 0.0002969675038967522,\n   'gate_length': 35.55555555555556},\n  'x_3': {'index': 'x_3',\n   'gate_error': 0.0006730368432933634,\n   'gate_length': 35.55555555555556},\n  'x_4': {'index': 'x_4',\n   'gate_error': 0.00033113055580526814,\n   'gate_length': 35.55555555555556},\n  'cx_4_3': {'index': 'cx_4_3',\n   'gate_error': 0.01474875752789484,\n   'gate_length': 554.6666666666666},\n  'cx_3_4': {'index': 'cx_3_4',\n   'gate_error': 0.01474875752789484,\n   'gate_length': 590.2222222222222},\n  'cx_3_1': {'index': 'cx_3_1',\n   'gate_error': 0.013943462569729087,\n   'gate_length': 398.2222222222222},\n  'cx_1_3': {'index': 'cx_1_3',\n   'gate_error': 0.013943462569729087,\n   'gate_length': 433.77777777777777},\n  'cx_2_1': {'index': 'cx_2_1',\n   'gate_error': 0.010693455894408732,\n   'gate_length': 412.4444444444444},\n  'cx_1_2': {'index': 'cx_1_2',\n   'gate_error': 0.010693455894408732,\n   'gate_length': 448},\n  'cx_1_0': {'index': 'cx_1_0',\n   'gate_error': 0.016558485595031758,\n   'gate_length': 775.1111111111111},\n  'cx_0_1': {'index': 'cx_0_1',\n   'gate_error': 0.016558485595031758,\n   'gate_length': 810.6666666666666},\n  'reset_0': {'index': 'reset_0',\n   'gate_error': 0.0,\n   'gate_length': 7342.222222222222},\n  'reset_1': {'index': 'reset_1',\n   'gate_error': 0.0,\n   'gate_length': 7342.222222222222},\n  'reset_2': {'index': 'reset_2',\n   'gate_error': 0.0,\n   'gate_length': 7342.222222222222},\n  'reset_3': {'index': 'reset_3',\n   'gate_error': 0.0,\n   'gate_length': 7342.222222222222},\n  'reset_4': {'index': 'reset_4',\n   'gate_error': 0.0,\n   'gate_length': 7342.222222222222}}}"
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "tmp = get_backend_properties_v1(FakeBelem())\n",
    "tmp"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-07-24T19:39:21.032056Z",
     "start_time": "2024-07-24T19:39:20.981156Z"
    }
   },
   "id": "f8db8a9a8f5ac591",
   "execution_count": 26
  },
  {
   "cell_type": "code",
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "8.002525624670083e-05\n",
      "7.946786929507211e-05\n",
      "0.030400000000000003\n"
     ]
    }
   ],
   "source": [
    "t1 = []\n",
    "t2 = []\n",
    "readout = []\n",
    "for val in tmp['qubits_props'].values():\n",
    "    t1.append(val['t1'])\n",
    "    t2.append(val['t2'])\n",
    "    readout.append(val['readout_error'])\n",
    "print(np.mean(t1))\n",
    "print(np.mean(t2))\n",
    "print(np.mean(readout))"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-07-24T19:39:24.136513Z",
     "start_time": "2024-07-24T19:39:24.108870Z"
    }
   },
   "id": "9a4a9d55589baa48",
   "execution_count": 27
  },
  {
   "cell_type": "code",
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.0003886014396357395\n",
      "0.0003886014396357395\n",
      "0.013986040396766104\n",
      "0.0\n"
     ]
    }
   ],
   "source": [
    "sx = []\n",
    "x = []\n",
    "cx = []\n",
    "reset = []\n",
    "for key, val in tmp['gate_props'].items():\n",
    "    if 'sx' == key[:2]:\n",
    "        sx.append(val['gate_error'])\n",
    "    elif 'x' == key[0]:\n",
    "        x.append(val['gate_error'])\n",
    "    elif 'cx' == key[:2]:\n",
    "        cx.append(val['gate_error'])\n",
    "    elif 'reset' in key:\n",
    "        reset.append(val['gate_error'])\n",
    "print(np.mean(sx))\n",
    "print(np.mean(x))\n",
    "print(np.mean(cx))\n",
    "print(np.mean(reset))"
   ],
   "metadata": {
    "collapsed": false
   },
   "id": "fb7ea1fcfd8f0ef7",
   "execution_count": 70
  },
  {
   "cell_type": "markdown",
   "source": [],
   "metadata": {
    "collapsed": false
   },
   "id": "757aceda1f8ba83"
  },
  {
   "cell_type": "markdown",
   "source": [],
   "metadata": {
    "collapsed": false
   },
   "id": "bea56fd03a803612"
  },
  {
   "cell_type": "code",
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "random seed fixed to 0\n",
      "thetas [0.06896594 0.08987335 0.07574548 0.06847204 0.05323803 0.08116545\n",
      " 0.05498883 0.1120635 ]\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/haoranliao/anaconda3/envs/mlqem/lib/python3.8/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: divide by zero encountered in det\n",
      "  r = _umath_linalg.det(a, signature=signature)\n",
      "/Users/haoranliao/anaconda3/envs/mlqem/lib/python3.8/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: invalid value encountered in det\n",
      "  r = _umath_linalg.det(a, signature=signature)\n"
     ]
    }
   ],
   "source": [
    "backend = FakeBelem()\n",
    "properties = get_backend_properties_v1(backend)\n",
    "\n",
    "# Local, coherent noise\n",
    "backend_ideal = QasmSimulator() # Noiseless\n",
    "backend_noisy_coherent, noise_model = AddNoise(backend=backend).add_coherent_noise(seed=0, theta=np.pi * 0.04, uniform=False, add_depolarization=True)\n",
    "\n",
    "run_config_ideal = {'shots': 10000, 'backend': backend_ideal, 'name': 'ideal'}\n",
    "run_config_noisy_coherent = {'shots': 10000, 'backend': backend_noisy_coherent, 'name': 'noisy_coherent'}"
   ],
   "metadata": {
    "collapsed": false
   },
   "id": "8147eee8926040b1",
   "execution_count": 77
  },
  {
   "cell_type": "code",
   "outputs": [
    {
     "data": {
      "text/plain": "0.0755640775"
     },
     "execution_count": 76,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.mean([0.06896594, 0.08987335, 0.07574548, 0.06847204, 0.05323803, 0.08116545,\n",
    " 0.05498883, 0.1120635])"
   ],
   "metadata": {
    "collapsed": false
   },
   "id": "49104810a1161568",
   "execution_count": 76
  },
  {
   "cell_type": "code",
   "outputs": [
    {
     "data": {
      "text/plain": "0.0755640775"
     },
     "execution_count": 78,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.mean([0.06896594, 0.08987335, 0.07574548, 0.06847204, 0.05323803, 0.08116545, 0.05498883, 0.1120635])"
   ],
   "metadata": {
    "collapsed": false
   },
   "id": "4ab1a77d98ee8bdc",
   "execution_count": 78
  },
  {
   "cell_type": "markdown",
   "source": [],
   "metadata": {
    "collapsed": false
   },
   "id": "178d0592a316693d"
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}