Does FARPY currently provide a production quantum service?

No. This candidate documents local simulator research only.

Was physical quantum hardware used?

No. No external QPU or provider was used.

A frozen two-qubit Bell Phi-plus circuit with H, controlled-X, and measurement operations.

The circuit file, runs.csv, and all 20 seeded run records reproduced byte-for-byte.

Does this prove physical entanglement?

No. Statistical balance from an ideal local simulator is not evidence of physical entanglement.

What is the main finding?

The frozen seeded simulator is reproducible, while individual measurement outcomes remain probabilistic.

FQR-2026-001 · LOCAL SIMULATOR RESEARCH

Reproducibility of a Seeded Bell-State Measurement Simulator

A frozen two-qubit circuit and seeded measurement simulator reproduced 22 stable evidence files exactly across an independent replay.

Scope guard

This is an ideal seeded classical emulation of quantum measurement probabilities. FARPY does not currently provide a production quantum service. No physical QPU was used.

Research question

Can a frozen, seeded local simulator reproduce the measurement records of a two-qubit Bell Phi-plus fixture while preserving the distinction between deterministic circuit definition and probabilistic measurement outcomes?

Method

Frozen fixture: BELL-PHI-PLUS-V1.
Two qubits.
Hadamard gate on qubit 0.
Controlled-X from qubit 0 to qubit 1.
Measurement of both qubits.
20 seeded runs.
4,096 shots per run.
81,920 total simulated measurements.
Every shot required to be 00 or 11.
Each run required chi-square below 10.827566.

Results

Runs passing: 20 of 20
Total measurements: 81,920
Forbidden outcomes: 0
Replay-stable files: 22 of 22
Mean proportion of 00: 0.501867676
Population standard deviation: 0.008084806

Finding

The frozen circuit definition remained identical across the base run and replay.
All 20 seeded run records and runs.csv reproduced byte-for-byte.
All 81,920 simulated measurements were either 00 or 11.
Every run passed the frozen chi-square balance gate.
Circuit definition determinism and measurement randomness are separate properties.
Reproducibility applies only to the frozen implementation, seeds, shot count, and runtime.

What this does not prove

Physical entanglement.
Physical quantum hardware behavior.
Quantum fidelity.
Noise tolerance.
Quantum advantage.
External provider integration.
Production quantum service readiness.

Run evidence

Run	Seed	00	11	Chi-square	Pass
1	20260730	2079	2017	0.938476562	true
2	20260731	2021	2075	0.711914062	true
3	20260732	2060	2036	0.140625000	true
4	20260733	2038	2058	0.097656250	true
5	20260734	2040	2056	0.062500000	true
6	20260735	2064	2032	0.250000000	true
7	20260736	2088	2008	1.562500000	true
8	20260737	1983	2113	4.125976562	true
9	20260738	2122	1974	5.347656250	true
10	20260739	2073	2023	0.610351562	true
11	20260740	2036	2060	0.140625000	true
12	20260741	2080	2016	1.000000000	true
13	20260742	2062	2034	0.191406250	true
14	20260743	2080	2016	1.000000000	true
15	20260744	1991	2105	3.172851562	true
16	20260745	2046	2050	0.003906250	true
17	20260746	2072	2024	0.562500000	true
18	20260747	2020	2076	0.765625000	true
19	20260748	2079	2017	0.938476562	true
20	20260749	2079	2017	0.938476562	true

Evidence identity

Report ID: FQR-2026-001
Contract: FARPY-QUANTUM-INTEGRATION-R1
Fixture: BELL-PHI-PLUS-V1
Circuit SHA-256: d9e4befcdb7f19f161248e7b0267858eca85a781f31a7435bbbfcf04788c9557
Execution class: LOCAL_IDEAL_SIMULATOR
External QPU: false
Production quantum service: false

Downloads

Machine-readable report Machine-readable Q&A Run measurements Circuit definition SHA-256 manifest

Citation

Farpy Research Station. "Reproducibility of a Seeded Bell-State Measurement Simulator." FQR-2026-001, 2026.