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Update flipping.rst
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ElStabilini authored Nov 28, 2024
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22 changes: 19 additions & 3 deletions doc/source/protocols/flipping.rst
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Flipping
========

The flipping experiment corrects the amplitude in the qubit drive pulse. In this experiment,
we applying an :math:`R_x(\pi/2)` rotation followed by :math:`N` flips (two :math:`R_x(\pi)` rotations)
The flipping experiment corrects the amplitude in the qubit drive pulse for :math:`R_x(\pi)` rotations. In this experiment,
we apply an :math:`R_x(\pi/2)` rotation followed by :math:`N` flips (two :math:`R_x(\pi)` rotations)
and we measure the qubit state.
The first :math:`R_x(\pi/2)` is necessary to discriminate the over rotations and under rotations of the :math:`R_x(\pi)` pulse:
without it the difference between the two cases is just a global phase, i.e., the
probabilities are the same. With the :math:`R_x(\pi/2)` pulse, in case of under rotations the state will be closer to :math:`\ket{0}`
after the initial flip, in the over rotations one the final state will be closer to :math:`\ket{1}`.

By fitting the resulting data with a sinusoidal function, we can determine the delta amplitude, which allows us to refine the
:math:`\pi` pulse amplitue.
:math:`\pi` pulse amplitude.

We implemented also a version of the flipping protocol to calibrate the drive pulse amplitude of the :math:`R_x(\pi/2)` rotations, in this case each :math:`R_x(\pi)` rotation is replaced by two math:`R_x(\pi/2)` rotations.

Parameters
^^^^^^^^^^
Expand All @@ -35,6 +37,20 @@ The expected output is the following:

.. image:: flipping.png

If the same experiment is run setting the `rx90: True` the flipping is performed to calibrate the amplitude of the :math:`R_x(\pi/2)` rotation

.. code-block:: yaml
- id: flipping
operation: flipping
parameters:
delta_amplitude: 0.05
nflips_max: 30
nflips_step: 1
rx90: True
The expected output is the following:

Requirements
^^^^^^^^^^^^

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