qft_qiskit_noise.py

qft_qiskit_noise.py

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+import math
+import random
+import sys
+import time
+
+from qiskit import QuantumCircuit
+from qiskit.providers.qrack import QasmSimulator
+
+
+def reverse(num_qubits, circ):
+    start = 0
+    end = num_qubits - 1
+    while (start < end):
+        circ.swap(start, end)
+        start += 1
+        end -= 1
+
+# Implementation of the Quantum Fourier Transform
+# (See https://qiskit.org/textbook/ch-algorithms/quantum-fourier-transform.html)
+def qft(n, circuit):
+    if n == 0:
+        return circuit
+    n -= 1
+
+    circuit.h(n)
+    for qubit in range(n):
+        circuit.cp(math.pi/2**(n-qubit), qubit, n)
+
+    # Recursive QFT is very similiar to a ("classical") FFT
+    qft(n, circuit)
+
+
+def bench_qrack(num_qubits, noise):
+    circ = QuantumCircuit(num_qubits, num_qubits)
+    # Single-qubit gates
+    for i in range(num_qubits):
+        circ.u(random.uniform(0, 2 * math.pi), random.uniform(0, 2 * math.pi), random.uniform(0, 2 * math.pi), i)
+    qft(num_qubits, circ)
+    reverse(num_qubits, circ)
+    for i in range(num_qubits):
+        circ.measure(i, i)
+    start = time.perf_counter()
+
+    n_pow = 2**num_qubits
+    noisy_result = QasmSimulator(shots=n_pow, noise=noise).run(circ).result().get_counts(circ)
+    result = QasmSimulator(shots=n_pow).run(circ).result().get_counts(circ)
+
+    u_u = 0
+    for i in range(n_pow):
+        b = (bin(i)[2:]).zfill(num_qubits)
+        u_u = result[b] if b in result else 0
+    u_u /= n_pow
+
+    numer = 0
+    denom = 0
+    for i in range(n_pow):
+        b = (bin(i)[2:]).zfill(num_qubits)
+
+        noisy = (noisy_result[b] if b in noisy_result else 0) / n_pow
+        ideal = (result[b] if b in result else 0) / n_pow
+
+        # XEB / EPLG
+        denom = denom + (ideal - u_u) ** 2
+        numer = numer + (ideal - u_u) * (noisy - u_u)
+
+    return numer / denom
+
+
+def main():
+    noise = 0.1
+    max_qb = 10
+    if len(sys.argv) > 1:
+        noise = float(sys.argv[1])
+    if len(sys.argv) > 2:
+        max_qb = int(sys.argv[2])
+
+    print(max_qb, ": " + str(bench_qrack(max_qb, noise)) + " XEB.")
+
+    return 0
+
+
+if __name__ == '__main__':
+    sys.exit(main())