[Testing] Better testing the projectors

[RolandMacDoland]

jpmoutinho 32 minutes ago
Oh man those get a bit... verbose 😅. I would suggest mostly testing the projector in terms of expected results coming out of circuits and observables instead of directly comparing matrices. E.g.:

For some random initial state checking that a random projector as a block in the circuit will lead to a unnormalized wavefunction with only a component in the respective basis state.
Checking that HamEvo with a generator written with only projectors gives the same result as one written with Paulis (e.g., X_proj = |0><1| + |1><0| and you can similarly rewrite the other paulis with the projectors and build an Hamiltonian out of it).
Same thing for using the projectors as the observable in the QuantumModel.

[mlahariya]

@RolandMacDoland , @jpmoutinho - Check if this might be duplicated work.