Add possibility to bias qubit in crosstalk experiments

[andrea-pasquale]

Closes #846. Now it possible to bias the qubit away in a crosstalk experiments. Here is a possible runcard

- id: qubit crosstalk
  operation: qubit_crosstalk
  parameters:
    bias_step: 0.001
    bias_width: 0.05
    bias_point: {2: 0.25}
    drive_amplitude: 0.002
    drive_duration: 4000
    freq_step: 200_000
    freq_width: 10_000_000
    nshots: 1024
    relaxation_time: 20000

Some improvements where also performed in the fit with help of QPhysics. Some of the modifications include the following:

• in qubit_flux to perform the fit Ec will be required which can be obtained through a qubit_spectroscopy_ef experiment.
• in resonator_flux shall be used only to extract the coupling g and a better estimate on the bare_resonator_freq, qubit_flux dependence will need to be executed first to extract the rest of the parameters.

I run several experiments on hardware I manage to measure some of the crosstalk matrix elements: http://login.qrccluster.com:9000/HYb096zXSx-Fn2K4IlPXBQ==/ (qubit flux q2 q0 platinum) http://login.qrccluster.com:9000/-3mMHcYTRWKi1oe-IudMyw==/ (resonator flux q2 q0 platinum) http://login.qrccluster.com:9000/dFqEuXgsRhy-imL-DuCpTg==/ (qubit crosstalk between q0 and q2) http://login.qrccluster.com:9000/AtxOumFLR5SEyBqSuuSTLg==/ (resonator crosstalk between q0 and q2)

There is now the following function available in the API to convert frequency to biases using the compensation matrix: https://github.com/qiboteam/qibocal/blob/752666e32aecb70ff9fbc767af5d365fe8d5ede6/src/qibocal/protocols/flux_dependence/utils.py#L383-L398

• [ ] update documentation
• [x] provide crosstalk matrix compensation formula
• [x] add expected frequency in table

[codecov[bot]]

Codecov Report

Attention: Patch coverage is 97.72727% with 3 lines in your changes are missing coverage. Please review.

Project coverage is 97.26%. Comparing base (7a422fc) to head (752666e). Report is 5 commits behind head on main.

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[andrea-pasquale]

The compensation is still not working, because it requires some additional features in qibocal. Nevertheless I think we can merge this since it is an improvement on top of what we already have.