Add a new transformer that performs random pauli insertion

[NoureldinYosri]

implements the error mitigation technique described in appendix D of https://arxiv.org/abs/2503.20870

[eliottrosenberg]

Thanks, Nour! This is great! A few comments:

• Can we have a clear, deterministic way of saying which qubit is which in the probabilities array?
• For applications, we might need finer-grained pair-by-pair control over the probabilities.
• Also see the error_mitigation/noise_adding.py file in my user folder.

[zlatko-minev]

Eliott will chat with you at our chat

[codecov]

Codecov Report

✅ All modified and coverable lines are covered by tests.
✅ Project coverage is 97.50%. Comparing base (0e87d09) to head (4eb0bdd).

Additional details and impacted files

@@           Coverage Diff            @@
##             main    #7558    +/-   ##
========================================
  Coverage   97.50%   97.50%            
========================================
  Files        1101     1103     +2     
  Lines       99411    99541   +130     
========================================
+ Hits        96928    97058   +130     
  Misses       2483     2483            

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