Add tensor factorizations through MatrixAlgebraKit

[lkdvos]

Since MatrixAlgebraKit is now actually released, here's a second attempt at adding in the factorizations.

To do

• decide if names are okay
• decide how and if mapping kwargs, or dealing with algorithm selection in general
• decide if we want to distinguish between ishermitian, and if so, if we care about the type stability.
• decide how we want to handle in-place/non-in-place operations.
• wait for fix for segfault
• add nullspaces

[codecov]

Codecov Report

Attention: Patch coverage is 98.71795% with 1 line in your changes missing coverage. Please review.

Project coverage is 95.02%. Comparing base (2c46a8e) to head (eb6276f).
Report is 1 commits behind head on main.

Files with missing lines	Patch %	Lines
src/factorizations.jl	98.71%	1 Missing ⚠️

Additional details and impacted files

@@            Coverage Diff             @@
##             main      #36      +/-   ##
==========================================
+ Coverage   94.60%   95.02%   +0.41%     
==========================================
  Files          15       15              
  Lines         371      422      +51     
==========================================
+ Hits          351      401      +50     
- Misses         20       21       +1     

Flag	Coverage Δ
docs	0.00% <0.00%> (ø)

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[lkdvos]

I temporarily disabled the lq tests since apparently MatrixAlgebraKit is causing segfaults (oopsie) 😉
Should be fixed once QuantumKitHub/MatrixAlgebraKit.jl#10 is resolved.

[mtfishman]

Looks like a great start! Those are all good issues to discuss.

[lkdvos]

If tests pass, I think this should now be good to go. I've addressed all comments we discussed I think, and all todo's are done.

[mtfishman]

Really great, thanks @lkdvos. Looks like you guys did a nice job making a simple and comprehensive factorization interface in MatrixAlgebraKit.jl. I'm also happy to see the fusedims/splitdims interface pay off to make it easy to implement matricized tensor factorizations.