[ITensorMPS] Update examples to use ITensorMPS.jl

[mtfishman]

Relies on https://github.com/ITensor/ITensorMPS.jl being registered (registration in progress at: JuliaRegistries/General#106277).

[codecov-commenter]

Codecov Report

Attention: Patch coverage is 0% with 49 lines in your changes are missing coverage. Please review.

Project coverage is 43.55%. Comparing base (b5a9179) to head (9a3767e).
Report is 1 commits behind head on main.

❗ Current head 9a3767e differs from pull request most recent head 2bea51d. Consider uploading reports for the commit 2bea51d to get more accurate results

Files	Patch %	Lines
src/lib/ITensorMPS/examples/src/electronk.jl	0.00%	40 Missing ⚠️
src/lib/ITensorMPS/src/mpo.jl	0.00%	4 Missing ⚠️
src/lib/ITensorMPS/test/base/test_qnmpo.jl	0.00%	2 Missing ⚠️
...rMPS/examples/dmrg/2d_hubbard_conserve_momentum.jl	0.00%	1 Missing ⚠️
...rMPS/examples/gate_evolution/mpo_gate_evolution.jl	0.00%	1 Missing ⚠️
...TensorMPS/src/opsum_to_mpo/opsum_to_mpo_generic.jl	0.00%	1 Missing ⚠️

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Additional details and impacted files

@@            Coverage Diff             @@
##             main    #1411      +/-   ##
==========================================
- Coverage   44.11%   43.55%   -0.56%     
==========================================
  Files         143      135       -8     
  Lines        9364     8800     -564     
==========================================
- Hits         4131     3833     -298     
+ Misses       5233     4967     -266     

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