Add parameter sweep support for Pauli string measurements with readout mitigation

[ddddddanni]

https://github.com/quantumlib/Cirq/pull/7236 and https://github.com/quantumlib/Cirq/pull/7067 builds a tool for measuring expectation values of Pauli strings with readout error mitigation. This pr enhances the tool by providing option for sweep-based execution. The new sweep mode could make it faster for external users since for them sweep operations can be more efficient than run_batch with large circuit lists. The changes include:

1. Adding a new function run_sweep_with_readout_benchmarking which runs the sweep circuits with readout error benchmarking (without shuffling).
2. Allow user to run measuring_pauli_strings in sweep mode. In this mode, the function uses parameterized circuits and sweeps parameters for both Pauli measurements and readout benchmarking

[codecov[bot]]

Codecov Report

All modified and coverable lines are covered by tests :white_check_mark:

Project coverage is 98.68%. Comparing base (513f309) to head (1c46aae). Report is 1 commits behind head on main.

Additional details and impacted files

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##             main    #7358    +/-   ##
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  Coverage   98.68%   98.68%            
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  Files        1112     1112            
  Lines       97588    97776   +188     
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+ Hits        96307    96495   +188     
  Misses       1281     1281            

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[ddddddanni]

Hey @eliottrosenberg and @NoureldinYosri, can you take a look when you have time? Thank you!

[NoureldinYosri]

Thanks, @ddddddanni! I tried testing this through Quantum Engine, and I got the error ValueError: Unsupported type for serializing const sweep: value=1 and type(value)=<class 'numpy.int64'>. See this colab for details.

this issue is not related to this PR .. https://github.com/quantumlib/Cirq/pull/7398/ will fix it

[ddddddanni]

@ddddddanni I reviewed a couple of files, but this a big PR .. can it be broken down into smaller PRs?

Sure! Just send https://github.com/quantumlib/Cirq/pull/7435 for review. https://github.com/quantumlib/Cirq/pull/7435 only touches the readout benchmarking thing and is a lot smaller than this PR.

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[mhucka]

@ddddddanni Another gentle ping, this time about this other PR.

[ddddddanni]

@ddddddanni Another gentle ping, this time about this other PR.

This is actually done. I made two separate PRs and the sweep function is added. I will abort this one.