Add benchmarks

[nathanshammah]

Add benchmark quantum circuits module/folder.

Original planned benchmarks (100 qubits each)

• Quantum Approximate Optimization Algorithm (QAOA) for nearest neighbors Ising model Hamiltonian
• Quantum Fourier transform (QFT)
• Square Heisenberg model Trotterized Hamiltonian simulation
• Quantum computational neural network (QCNN)
• Quantum volume (QV) calculation
• PREPARE & SELECT on a GHZ state
• Parameterized circuit

[jordandsullivan]

I would say let's break out benchmarks into a separate repo for the product launch. Whether it's initially our fork of benchpress frozen at its current version or ideally a lighter weight module that just calls the relevant parts of benchpress (the full repo has gotten expontentially larger and now requires 96GB of ram and tens of hours to run the vast quanity of circuits and benchmarks they have implemented.

Source: https://github.com/Qiskit/benchpress?tab=readme-ov-file#testing-resource-requirements

[jordandsullivan]

Currently waiting to hear back from Paul Nation (Qiskit developer) on their recommended usage for most recent version of Benchpress to avoid re-implementing circuits unnecessarily.

[jordandsullivan]

For MVP, we can most likely just use a jupyter notebook or scripts for the benchmarking.

[jordandsullivan]

See #39 for discussion of counting 2 qubit operations and decomposing circuits.