Optimization for XX, YY, ZZ rotations in MPS simulator

[1tnguyen]

Description

These are 2-body ops that are commonly used in quantum applications.
Without frontend exposure of (Rxx/XXPhase, Ryy/YYPhase, Rzz/ZZPhase) gates, users need to write them in the decomposed form or using exp_pauli. Both results in 2 CNOT gates.

This is not ideal for MPS since we want to minimize the number of 2-q gates.

Hence, add a special handling in MPS for these cases.

[github-actions]

CUDA Quantum Docs Bot: A preview of the documentation can be found here.

[zohimchandani]

Team, any updates on this, please? This is holding a benchmark for a collaboration currently so would be nice to get it moving if we can.

Thanks :)

[github-actions]

CUDA Quantum Docs Bot: A preview of the documentation can be found here.

[github-actions]

CUDA Quantum Docs Bot: A preview of the documentation can be found here.

[github-actions]

CUDA Quantum Docs Bot: A preview of the documentation can be found here.

[zohimchandani]

Do we need to add these gates in the docs?

[1tnguyen]

Do we need to add these gates in the docs?

We don't actually add any 'new' gates. I think the expression of Rxx/XXPhase, Ryy/YYPhase, or Rzz/ZZPhase in terms of exp_pauli could be added to our docs as a footnote/example. Most other frameworks that have these native gates should already have equations for the gate matrix in terms of Pauli exponential.