Symmetry shift for double factorization

[obliviateandsurrender]

Context: Adds BLISS-based symmetry shift for double factorization.

Description of the Change: Adds a labs.qchem.factorization.symmetry_shift function to perform BLISS.

Benefits: This can be used as a pre-processing step to reduce one-norm and spectral range before performing compressed double factorization.

Possible Drawbacks: N/A

Related GitHub Issues: [sc-72646]

[github-actions]

Hello. You may have forgotten to update the changelog!
Please edit doc/releases/changelog-dev.md with:

• A one-to-two sentence description of the change. You may include a small working example for new features.
• A link back to this PR.
• Your name (or GitHub username) in the contributors section.

[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 99.65%. Comparing base (c198e2b) to head (c74f057).
Report is 1 commits behind head on master.

Additional details and impacted files

@@           Coverage Diff           @@
##           master    #6574   +/-   ##
=======================================
  Coverage   99.65%   99.65%           
=======================================
  Files         455      455           
  Lines       42839    42876   +37     
=======================================
+ Hits        42690    42727   +37     
  Misses        149      149           

☔ View full report in Codecov by Sentry.
📢 Have feedback on the report? Share it here.

[ddhawan11]

Great work @obliviateandsurrender

[ddhawan11]

Looks good @obliviateandsurrender