LRE failure for chunking

[purva-thakre]

Description

Noticed in #2601

https://github.com/unitaryfund/mitiq/actions/runs/12433520415/job/34715234002?pr=2601#step:6:4591

Originally, the test was written to confirm chunking a circuit performs worse in certain scenarios. However, this performance varies non-deterministically. Due to this reason, now the test is verifying there is a difference between two expectation values.

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License

• I license this contribution under the terms of the GNU GPL, version 3 and grant Unitary Fund the right to provide additional permissions as described in section 7 of the GNU GPL, version 3.

Before opening the PR, please ensure you have completed the following where appropriate.

• I added unit tests for new code.
• I used type hints in function signatures.
• I used Google-style docstrings for functions.
• I updated the documentation where relevant.
• Added myself / the copyright holder to the AUTHORS file

[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 98.73%. Comparing base (2dc8c4f) to head (212aef1).
Report is 1 commits behind head on main.

Additional details and impacted files

@@           Coverage Diff           @@
##             main    #2608   +/-   ##
=======================================
  Coverage   98.73%   98.73%           
=======================================
  Files          92       92           
  Lines        4193     4193           
=======================================
  Hits         4140     4140           
  Misses         53       53           

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[purva-thakre]

Converting this back to draft because @natestemen suggested to write a better test.