quantum-metamorphic-testing / generate_dataset.py
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"""
Quantum Metamorphic Testing Dataset ์ƒ์„ฑ ์Šคํฌ๋ฆฝํŠธ
TC1~TC6 ร— {Depolarizing, Amplitude Damping, Phase Damping} ร— {Z, X ๊ธฐ์ €} ร— ๋…ธ์ด์ฆˆ ๊ฐ•๋„
์กฐํ•ฉ์„ Qiskit Aer๋กœ ์‹œ๋ฎฌ๋ ˆ์ด์…˜ํ•˜๊ณ , ์ธก์ • ๋นˆ๋„์™€ ํ‰๊ฐ€ ์ง€ํ‘œ๋ฅผ CSV๋กœ ์ €์žฅํ•ฉ๋‹ˆ๋‹ค.
์‚ฌ์šฉ๋ฒ•:
pip install qiskit qiskit-aer numpy scipy pandas
python generate_dataset.py # ๊ธฐ๋ณธ: seed 1234, shots 4096
python generate_dataset.py --seeds 1234 1 2 3 4 # ๋ฐ˜๋ณต ์‹คํ—˜(์‹œ๋“œ๋ณ„ ๋ณ€๋™์„ฑ ๋ถ„์„์šฉ)
python generate_dataset.py --max-noise 0.2 --step 0.005 --out data
์ถœ๋ ฅ:
<out>/results.csv : ์‹คํ—˜ 1ํšŒ(์กฐ๊ฑด 1๊ฐœ)๋‹น 1ํ–‰
<out>/test_cases.csv : ํ…Œ์ŠคํŠธ ์ผ€์ด์Šค ์ •์˜์™€ ์ด์ƒ์  ์ถœ๋ ฅ ๋ถ„ํฌ
<out>/metadata.json : ์‹คํ—˜ ์„ค์ • ๋ฐ ๋ผ์ด๋ธŒ๋Ÿฌ๋ฆฌ ๋ฒ„์ „
Reference:
W.-Y. Hyun, D. Kang, "Generating Metamorphic Test Cases using 2-qubit Quantum
Gate Combinations," JKSCI, 31(5), 1-9, 2026. doi:10.9708/jksci.2026.31.05.001
"""
import argparse
import json
import os
import platform
import time
import numpy as np
import pandas as pd
import qiskit
import qiskit_aer
import scipy
from qiskit import QuantumCircuit, transpile
from qiskit.quantum_info import Statevector
from qiskit_aer import AerSimulator
from qiskit_aer.noise import (
NoiseModel,
amplitude_damping_error,
depolarizing_error,
phase_damping_error,
)
from scipy.special import rel_entr
from scipy.stats import chi2_contingency, chisquare
STATES = ["00", "01", "10", "11"]
EXPECTED = np.array([0.5, 0.0, 0.0, 0.5])
EPS = 1e-6
ONE_Q_GATES = ["h", "x", "y", "z", "s", "sdg", "t", "tdg"]
TWO_Q_GATES = ["cx", "cz", "swap"]
TEST_CASES = {
"TC1": ("Base Combination", [("h", 0), ("cx", 0, 1)]),
"TC2": ("Logical Equivalence", [("x", 0), ("h", 0), ("cx", 0, 1)]),
"TC3": ("Single Phase Flip", [("z", 0), ("h", 0), ("cx", 0, 1)]),
"TC4": ("Double Phase Flip", [("z", 0), ("z", 1), ("h", 0), ("cx", 0, 1)]),
"TC5": ("Gate Invalidation", [("h", 0), ("cx", 0, 1), ("h", 0), ("h", 0)]),
"TC6": ("Swap Operations", [("h", 1), ("cx", 1, 0)]),
}
NOISE_MODELS = {
"depolarizing": "Depolarizing",
"amplitude_damping": "Amplitude Damping",
"phase_damping": "Phase Damping",
}
# ๋…ผ๋ฌธ ์„ค์ •: DepolarizingยทAD โ†’ Z-๊ธฐ์ €, PD โ†’ X-๊ธฐ์ €
PAPER_BASIS = {"depolarizing": "Z", "amplitude_damping": "Z", "phase_damping": "X"}
# ---------------------------------------------------------------------------
def build_circuit(ops, basis="Z", measure=True):
qc = QuantumCircuit(2, 2)
for name, *qubits in ops:
getattr(qc, name)(*qubits)
if measure:
if basis == "X":
qc.barrier()
qc.h([0, 1])
qc.measure([0, 1], [0, 1])
return qc
def ops_to_str(ops):
return " -> ".join(f"{n.upper()}({','.join('q%d' % q for q in qs)})" for n, *qs in ops)
def ideal_probs(ops, basis="Z"):
qc = build_circuit(ops, measure=False)
if basis == "X":
qc.h([0, 1])
d = Statevector.from_instruction(qc).probabilities_dict()
return np.array([d.get(s, 0.0) for s in STATES])
def create_noise_model(kind, p):
if p <= 0:
return None
if kind == "depolarizing":
e1, e2 = depolarizing_error(p, 1), depolarizing_error(p, 2)
elif kind == "amplitude_damping":
e1 = amplitude_damping_error(p)
e2 = e1.tensor(e1)
elif kind == "phase_damping":
e1 = phase_damping_error(p)
e2 = e1.tensor(e1)
else:
raise ValueError(kind)
nm = NoiseModel()
nm.add_all_qubit_quantum_error(e1, ONE_Q_GATES)
nm.add_all_qubit_quantum_error(e2, TWO_Q_GATES)
return nm
def simulate(qc, noise_model, shots, seed):
backend = AerSimulator(noise_model=noise_model, seed_simulator=seed)
tqc = transpile(qc, backend, optimization_level=0, seed_transpiler=seed)
counts = backend.run(tqc, shots=shots, seed_simulator=seed).result().get_counts()
return np.array([counts.get(s, 0) for s in STATES], dtype=float)
# ---------------------------------------------------------------------------
def chi_square_vs_expected(obs, expected=EXPECTED):
pe = expected + EPS
pe = pe / pe.sum()
stat, p = chisquare(f_obs=obs, f_exp=pe * obs.sum())
return float(stat), float(p)
def chi_square_vs_source(src, fol):
table = np.vstack([src, fol])
table = table[:, table.sum(axis=0) > 0]
if table.shape[1] < 2:
return 0.0, 1.0
stat, p, _, _ = chi2_contingency(table, correction=False)
return float(stat), float(p)
def kl_divergence(expected, obs):
q = obs / obs.sum() + EPS
return float(np.sum(rel_entr(expected, q / q.sum())))
def cosine_similarity(expected, obs):
q = obs / obs.sum()
return float(np.dot(expected, q) / (np.linalg.norm(expected) * np.linalg.norm(q)))
def judge(p):
if p > 0.5:
return "maintain"
if p > 0.05:
return "uncertain"
return "collapse"
# ---------------------------------------------------------------------------
def main(argv=None):
ap = argparse.ArgumentParser(description=__doc__, formatter_class=argparse.RawDescriptionHelpFormatter)
ap.add_argument("--max-noise", type=float, default=0.1)
ap.add_argument("--step", type=float, default=0.01)
ap.add_argument("--shots", type=int, default=4096)
ap.add_argument("--seeds", type=int, nargs="+", default=[1234])
ap.add_argument("--bases", nargs="+", default=["Z", "X"], choices=["Z", "X"])
ap.add_argument("--out", default="data")
# parse_known_args: Jupyter/Colab ์…€์—์„œ ์‹คํ–‰ํ•  ๋•Œ ์ปค๋„์ด ๋„˜๊ธฐ๋Š” '-f ...' ์ธ์ž๋ฅผ ๋ฌด์‹œ
args, _ = ap.parse_known_args(argv)
os.makedirs(args.out, exist_ok=True)
n = int(round(args.max_noise / args.step))
levels = np.round(np.linspace(0, n * args.step, n + 1), 6)
# ํ…Œ์ŠคํŠธ ์ผ€์ด์Šค ์ •์˜ ํ‘œ
tc_rows = []
for tc, (name, ops) in TEST_CASES.items():
row = {"test_case": tc, "name": name, "circuit": ops_to_str(ops),
"num_gates": len(ops), "num_2q_gates": sum(len(o) == 3 for o in ops)}
for b in ["Z", "X"]:
ip = ideal_probs(ops, b)
row.update({f"ideal_{b}_p{s}": round(float(v), 6) for s, v in zip(STATES, ip)})
row[f"mr_valid_ideal_{b}"] = bool(np.allclose(ip, ideal_probs(TEST_CASES["TC1"][1], b), atol=1e-9))
tc_rows.append(row)
pd.DataFrame(tc_rows).to_csv(os.path.join(args.out, "test_cases.csv"), index=False)
rows = []
total = len(args.seeds) * len(NOISE_MODELS) * len(args.bases) * len(levels) * len(TEST_CASES)
t0, done = time.time(), 0
src_ops = TEST_CASES["TC1"][1]
for seed in args.seeds:
for kind, kind_label in NOISE_MODELS.items():
for basis in args.bases:
# ์ด ๊ธฐ์ €์—์„œ์˜ ๊ธฐ๋Œ€ ๋ถ„ํฌ(TC1 ์ด์ƒ์  ๋ถ„ํฌ). ZยทX ๋ชจ๋‘ |00>,|11> 50%.
expected = ideal_probs(src_ops, basis)
for p in levels:
nm = create_noise_model(kind, float(p))
src_counts = simulate(build_circuit(src_ops, basis), nm, args.shots, seed)
for tc, (name, ops) in TEST_CASES.items():
counts = (src_counts if tc == "TC1"
else simulate(build_circuit(ops, basis), nm, args.shots, seed))
probs = counts / counts.sum()
chi_e, p_e = chi_square_vs_expected(counts, expected)
chi_s, p_s = chi_square_vs_source(src_counts, counts)
rows.append({
"test_case": tc,
"test_case_name": name,
"noise_model": kind,
"noise_model_label": kind_label,
"basis": basis,
"paper_setting": basis == PAPER_BASIS[kind],
"noise_strength": float(p),
"shots": args.shots,
"seed": seed,
**{f"count_{s}": int(c) for s, c in zip(STATES, counts)},
**{f"prob_{s}": round(float(v), 6) for s, v in zip(STATES, probs)},
"error_state_prob": round(float(probs[1] + probs[2]), 6),
"chi2_expected": round(chi_e, 4),
"pvalue_expected": p_e,
"mr_expected": judge(p_e),
"chi2_vs_tc1": round(chi_s, 4),
"pvalue_vs_tc1": p_s,
"mr_vs_tc1": judge(p_s),
"kl_divergence": round(kl_divergence(expected, counts), 6),
"cosine_similarity": round(cosine_similarity(expected, counts), 6),
})
done += 1
print(f"[{done}/{total}] seed={seed} {kind_label} {basis}-basis done "
f"({time.time() - t0:.1f}s)")
df = pd.DataFrame(rows)
path = os.path.join(args.out, "results.csv")
df.to_csv(path, index=False)
meta = {
"description": "Metamorphic testing of 2-qubit gate combinations under quantum noise",
"reference_doi": "10.9708/jksci.2026.31.05.001",
"noise_levels": levels.tolist(),
"shots": args.shots,
"seeds": args.seeds,
"bases": args.bases,
"transpile_optimization_level": 0,
"epsilon_for_zero_expected": EPS,
"rows": len(df),
"versions": {
"python": platform.python_version(),
"qiskit": qiskit.__version__,
"qiskit_aer": qiskit_aer.__version__,
"numpy": np.__version__,
"scipy": scipy.__version__,
"pandas": pd.__version__,
},
"generated_at": time.strftime("%Y-%m-%dT%H:%M:%S%z"),
}
with open(os.path.join(args.out, "metadata.json"), "w", encoding="utf-8") as f:
json.dump(meta, f, ensure_ascii=False, indent=2)
print(f"\nSaved {len(df)} rows -> {path}")
print(df[df.paper_setting].groupby(["noise_model", "test_case"])["kl_divergence"].max().unstack().round(4))
if __name__ == "__main__":
main()