Submit Qiskit to Local Neutral Atom Simulator

[ScottCarda-MS]

Adds a NeutralAtomBackend to the interop layer of the qsharp package and surfaces that backend via the simulator namespace of the qdk package. The backend opperates off of an added NeutralAtomTarget Qiskit target.
This Qiskit backend lets users run Qiskit jobs on their local Neutral Atom simulator, allowing them to simulator noisy jobs with Qiskit.

Here is an example using the new backend:

from qiskit import QuantumCircuit, transpile
from qiskit.visualization import plot_histogram
from qdk.simulation import NeutralAtomBackend, NoiseConfig

# Create a Quantum circuit that acts on the q register
circuit = QuantumCircuit(3, 3)
circuit.name = "Qiskit Sample - 3-qubit GHZ circuit"
circuit.h(0)
circuit.cx(0, 1)
circuit.cx(1, 2)
circuit.measure([0, 1, 2], [0, 1, 2])

# Create the backend
local_backend = NeutralAtomBackend()

# Transpile to native gates
native_circuit = transpile(circuit, backend=local_backend)
print(native_circuit.draw())  # will show only rz, sx, cz gates

# Configure loss noise — high probability so we reliably see loss in results
noise = NoiseConfig()
noise.rz.loss = 0.08  # 8% chance of qubit loss on each Rz gate

# Run with skip_transpilation=True since we've already transpiled.
job = local_backend.run(native_circuit, shots=1000, noise=noise, seed=42, skip_transpilation=True)
result = job.result()

data = result.results[0].data

# Qiskit-compatible view: loss shots filtered out
print("Accepted counts (no loss):", data.counts)
print("Accepted memory:", data.memory[:10], "...")

# Raw view: all shots, including those with loss markers ("-")
print("\nRaw counts (includes loss):", data.raw_counts)
print("Raw memory sample:", data.raw_memory[:10], "...")

print(f"\nAccepted shots: {len(data.memory)} / {len(data.raw_memory)} total")

plot_histogram(data.counts, title="Accepted shots (loss excluded)")```