Implementing basis interface and abstract type changes in #40

[akirakyle]

Applies on top of #37 and #41, see #40 for discussion.

[codecov]

Codecov Report

Attention: Patch coverage is 11.48936% with 208 lines in your changes missing coverage. Please review.

Project coverage is 22.93%. Comparing base (46223c3) to head (371f36c).
Report is 14 commits behind head on main.

Files with missing lines	Patch %	Lines
src/bases.jl	27.27%	56 Missing ⚠️
src/deprecated.jl	0.00%	51 Missing ⚠️
src/superoperators.jl	0.00%	39 Missing ⚠️
src/julia_base.jl	0.00%	30 Missing ⚠️
src/embed_permute.jl	0.00%	17 Missing ⚠️
src/expect_variance.jl	0.00%	11 Missing ⚠️
src/julia_linalg.jl	0.00%	3 Missing ⚠️
src/abstract_types.jl	0.00%	1 Missing ⚠️

Additional details and impacted files

@@            Coverage Diff             @@
##             main      #42      +/-   ##
==========================================
+ Coverage   16.95%   22.93%   +5.97%     
==========================================
  Files          13       14       +1     
  Lines         401      484      +83     
==========================================
+ Hits           68      111      +43     
- Misses        333      373      +40     

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

🚀 New features to boost your workflow:

• ❄️ Test Analytics: Detect flaky tests, report on failures, and find test suite problems.

[Krastanov]

adding myself as a reviewer for after #37 and #41 are done