Эксперимент: Phase-only quantum generative flow (#1207)

{ "worked": false, "confidence": 9, "verdict": "Built a self-contained phase-only quantum-flow MVP with spectral Schrödinger evolution, Madelung residual verification, deterministic particle transport, and a flow-matching baseline. The core equations were verified to machine precision, with continuity residual 1.11e-14 and Hamilton-Jacobi residual 8.78e-14, but the learned phase sampler did not show the promised generative advantage: its terminal W1 and MMD were substantially worse than the baseline and it was slower. The particle-density L1 discrepancy was about 0.195 in the small finite-particle check.", "metrics": { "baseline": "Flow matching: W1=0.1472, MMD=0.00690, mode coverage=1.0, runtime=1.50 s", "idea": "Phase-only quantum flow: W1=0.9492, MMD=0.25487, mode coverage=1.0, runtime=6.06 s; continuity residual=1.11e-14 and HJ residual=8.78e-14" }, "how_to_run": "/home/maxwelhelp/main/bin/python3 phase_quantum_mvp.py", "files": [ "phase_quantum_mvp.py" ], "limitations": "Only a 1D toy problem was tested. The phase model was optimized against grid density with a small fixed-step spectral solver rather than end-to-end particle Sinkhorn training. No 2D experiment, equal-FLOP tuning study, positivity stress test, long-horizon stability study, or larger-scale comparison was performed." }