Deprecate equal_bases

[akirakyle]

Reopening #39 here, I guess github doesn't allow reopening a PR after the branch has been force pushed. The actual Pauli operator basis will have a different structure than the currently named PauliBasis. Having a deprecation warning now would be good so give users a chance to realize this. Later, when introducing the actual Pauli operator basis, this allows us the chance to use the PauliBasis name for the actual Pauli operator basis.

[codecov]

Codecov Report

Attention: Patch coverage is 0% with 9 lines in your changes missing coverage. Please review.

Project coverage is 32.58%. Comparing base (8407cc3) to head (f607ed6).
Report is 1 commits behind head on main.

Files with missing lines	Patch %	Lines
src/deprecated.jl	0.00%	9 Missing ⚠️

Additional details and impacted files

@@            Coverage Diff             @@
##             main      #41      +/-   ##
==========================================
- Coverage   33.91%   32.58%   -1.33%     
==========================================
  Files          13       14       +1     
  Lines         401      402       +1     
==========================================
- Hits          136      131       -5     
- Misses        265      271       +6     

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[Krastanov]

adding myself as a reviewer for after #37 is done

[akirakyle]

@Krastanov I'm breaking off deprecating PauliBasis into another PR so we can focus discussion there on just that and so it's easier to review. This is ready for review now!

[Krastanov]

The breakage in QuantumOpticsBase is to be expected given the change. We will need to keep it in mind for a while.