Generalize extra LRE functions to work with all QPROGRAMs

[natestemen]

Description

Quick fix to ensure the LRE module is compatible with all QPROGRAM instances.

fixes #2584

[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 98.73%. Comparing base (7648648) to head (db1b393).
Report is 1 commits behind head on main.

Additional details and impacted files

@@           Coverage Diff           @@
##             main    #2599   +/-   ##
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  Coverage   98.73%   98.73%           
=======================================
  Files          92       92           
  Lines        4174     4176    +2     
=======================================
+ Hits         4121     4123    +2     
  Misses         53       53           

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[purva-thakre]

LGTM! I wonder if we should make sure other public functions in LRE also have a similar compatibility?

I see sample_matrix only works for Cirq circuits.

mitiq/mitiq/lre/inference/multivariate_richardson.py

Lines 55 to 56 in 7648648

	def sample_matrix(
	input_circuit: Circuit,

[natestemen]

I wonder if we should make sure other public functions in LRE also have a similar compatibility?

Good call, added db1b393 to address sample_matrix.