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 23.14815% with 166 lines in your changes missing coverage. Please review.

Project coverage is 29.97%. Comparing base (f22adb7) to head (278d10a).

Files with missing lines	Patch %	Lines
src/show.jl	0.00%	43 Missing ⚠️
src/linalg.jl	40.00%	42 Missing ⚠️
src/bases.jl	3.22%	30 Missing ⚠️
src/deprecated.jl	45.94%	20 Missing ⚠️
src/julia_base.jl	0.00%	13 Missing ⚠️
src/expect_variance.jl	0.00%	11 Missing ⚠️
src/embed_permute.jl	50.00%	4 Missing ⚠️
src/julia_linalg.jl	0.00%	2 Missing ⚠️
src/identityoperator.jl	0.00%	1 Missing ⚠️

Additional details and impacted files

@@             Coverage Diff             @@
##             main      #42       +/-   ##
===========================================
+ Coverage   17.08%   29.97%   +12.89%     
===========================================
  Files          12       13        +1     
  Lines         398      437       +39     
===========================================
+ Hits           68      131       +63     
+ Misses        330      306       -24     

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