Physical Quantum Hardware Experiments

Audited Finding: Demonstrated compiler-enabled physical quantum query advantage on structured search spaces on IBM Heron hardware: query reduction of 2.43x (N=4), 1.73x (N=8), and 1.19x (N=16) across 9/9 cases and 3/3 problem sizes.

Qualification & Scope: Advantage established strictly under black-box query model with compiler-synthesized oracles; does not imply wall-clock runtime speedup or universal software-repair advantage.

Audited Finding: Statistically significant physical quantum query complexity scaling advantage on N=4..16 qubits (slope 0.153 vs classical 0.696, t = -30.65, p = 3.47e-7).

Qualification & Scope: Advantage established under the query complexity model for the tested dynamic black-box oracle family; does not imply wall-clock runtime speedup or general quantum advantage.

Audited Finding: Qubit reuse compiler reduced register footprint by median 78.1% (up to 87.5% on N=16) with 4/6 reuse wins and 6/6 non-inferior cases on physical observable RMSE.

Qualification & Scope: Scope limited to streaming and sequential liveness-compatible circuits; does not claim arbitrary 16-qubit algorithms run on 2 qubits.

Audited Finding: 332,768 physical QPU samples across 4 jobs sampled 65,138 unique candidate states, yielding 93 verifier-backed positive repair records (1.593 MB, ~417k tokens) with 100% QPU provenance.

Qualification & Scope: Feasibility demonstration only. Current throughput bottleneck is classical verification (158 evaluated of 65k QPU states). Downstream LLM fine-tuning and model improvement were NOT tested.

Audited Finding: 18/18 valid compilations across MQT suite; physical execution shows mixed competitiveness (disfavored vs Qiskit by -0.0067 delta, favored vs TKET by +0.0398 delta driven by vqe_su2_n8).

Qualification & Scope: Advantage over TKET is sensitive to vqe_su2_n8 (+0.2696 delta); without vqe_su2_n8, mean delta vs TKET is -0.0062. Q-Psi is disfavored vs Qiskit O3 (-0.0067 delta).

Audited Finding: Dynamic routing compressed 2Q depth from 73 to 2 on 13 hops; unitary routing won on short/medium distances (2/2 confirmed predictions); empirical physical crossover was not resolved.

Qualification & Scope: No physical Bell fidelity crossover observed due to reset and measurement noise; unitary routing remains physically superior for D<=7.

Audited Finding: 4/4 exact optimum hits on small compiler graphs (N<=10), matching classical branch-and-bound; degraded to 0/4 hits on N=18..25 due to hardware noise.

Qualification & Scope: Exact classical optimum parity achieved only for small graphs (N<=10); large instances degraded under NISQ noise. No quantum advantage claimed.

Audited Finding: Initial feasibility demonstration of physical QPU selector on M=1024 space yielding 14 verified unique code repair records.

Qualification & Scope: Proof-of-concept run; superseded by V2 120-Qsec campaign.

Audited Finding: Q-Psi calibration layout achieved 1 win, 2 losses, 3 inconclusive vs Qiskit O3 best-of-8 baseline (mean delta -0.0106); hypothesis NOT SUPPORTED.

Qualification & Scope: Rigorous negative result preserved. Qiskit multi-seed layout search remains competitive or superior on IBM Heron r2.

Audited Finding: Fractional pulse gate lowering achieved structural duration reduction and 2/6 physical wins (N4_B, N8_B), with 4/6 inconclusive cases; classified as mixed physical signal.

Qualification & Scope: Structural pulse duration compression does not translate to universal physical fidelity advantage across all workloads.

Audited Finding: Selective Pauli twirling twirled only 41.1% of CZ layers on IBM Directed Execution beta mode; achieved 1 win vs unmitigated RAW baseline; comparison vs full twirling was inconclusive.

Qualification & Scope: Evaluated on IBM Directed Execution beta mode; selective vs full non-inferiority was inconclusive across tested circuits.

Audited Finding: 6/12 instances recovered on physical hardware (N=8..28) with polynomial query reductions, but recovery failures at higher N due to noise prevent establishing asymptotic speedup.

Qualification & Scope: Inconclusive asymptotic physical speedup due to NISQ decoherence failures on large N (6/12 recovered overall).

Audited Finding: Exploratory demonstration of 5-qubit static Bernstein-Vazirani and state preparation on physical hardware.

Qualification & Scope: Exploratory early calibration experiment only; zero metaphysical, causal, or consciousness claims.

Audited Finding: Deterministic changed-file state compiler achieved 98.4% candidate reduction with zero ground truth leakage on developmental benchmark universe.

Qualification & Scope: Evaluated on developmental benchmark universe; developmental milestone.

Audited Finding: Across six canonical workloads and three IBM Heron r2 backends, Q-Psi successfully retargeted all 18 workload-backend combinations (100.0%). Its pre-QPU selection heuristic placed the selected backend in the physically best statistical tier for 5 of 6 workloads (1 clear win, 4 ties, 1 miss).

Qualification & Scope: Single-provider, single-family cohort (IBM Heron r2). Does not establish multi-provider portability or general backend-selection superiority.