{ "_meta": { "analysis": "rigor_analysis.py \u2014 distribution-level rigor for the ADRIZ-Q real-QPU burn (replaces best-of-N optimum claims with honest numbers)", "job_id": "d911mveu9n7c73alroig", "backend": "ibm_kingston", "usage_quantum_seconds": 53, "n_circuits": 87, "offline": true, "ibm_key_read": false, "author": "Mark Ludwikowski " }, "summary": { "job_id": "d911mveu9n7c73alroig", "backend": "ibm_kingston", "n_circuits": 87, "concentrated_above_null": [ "OPT1_mogi_single", "OPT3_assoc_maxcut_p4", "OPT6_dozier_subpixel", "OPT8_spectral_unmix", "OPT9_fusion_tasking_p4", "N2", "N3" ], "best_of_n_only": [ "OPT2_multisource_p1", "OPT4_siteselect_p3", "OPT5_insar_unwrap", "OPT7_plume_so2", "N1" ], "optimum_not_measured": [], "mlae_edge_survived_hw": [ "N4", "N6" ], "mlae_edge_partial": [], "n_optimisation_cards": 12 }, "items": [ { "id": "OPT1_mogi_single", "item": "Mogi single-source volcanic inversion (one-hot QUBO -> QAOA, 8 qubits)", "category": "optimisation", "rigor": { "shots": 4096, "optimum_value": 495.52382211107175, "sense": "min", "p_optimum_measured": 0.006103515625, "expected_value": 1003.9638962342095, "approx_ratio": 0.02295413952076832, "uniform_null_p_optimum": 0.00390625, "uniform_null_best_of_shots_p": 0.9999998909360707, "uniform_null_approx_ratio": 0.01584073845991506, "concentration_vs_null": 1.5625, "n_states": 256, "exp_lo": 1002.0006441806272, "exp_hi": 1005.8672988926911, "tvd_hw_vs_sim": 0.202392578125, "beats_random_null": true, "card_kind": "decode_qubo", "n_qubits": 8, "reported_optimum": 495.52382211107175, "p_optimum_sim_aer": 0.006591796875, "approx_ci_lo": 0.01929645834466953, "approx_ci_hi": 0.02672683052144942, "honest_verdict": "CONCENTRATED: QPU put 0.0061 probability on the optimum, 1.6x the uniform-random null 0.0039 \u2014 genuine signal, not best-of-N." } }, { "id": "OPT2_multisource_p1", "item": "MultiSource P1 volcanic model-selection (dense-Gram QUBO -> global QAOA p=1, 8 qubits)", "category": "optimisation", "rigor": { "shots": 4096, "optimum_value": 154.840322793695, "sense": "min", "p_optimum_measured": 0.0009765625, "expected_value": 4595.364552887273, "approx_ratio": 0.7698233363567129, "uniform_null_p_optimum": 0.00390625, "uniform_null_best_of_shots_p": 0.9999998909360707, "uniform_null_approx_ratio": 0.7415301147186778, "concentration_vs_null": 0.25, "n_states": 256, "exp_lo": 4477.95395095475, "exp_hi": 4717.882707044175, "tvd_hw_vs_sim": 0.20068359375, "beats_random_null": false, "card_kind": "decode_qubo", "n_qubits": 8, "reported_optimum": 154.840322793695, "p_optimum_sim_aer": 0.000244140625, "approx_ci_lo": 0.7634725501660979, "approx_ci_hi": 0.7759093701736275, "honest_verdict": "BEST-OF-N ONLY: optimum measured p=0.0010 ~ random null 0.0039 (x0.25); the optimum surfaces by shot count, the QPU did NOT concentrate on it." } }, { "id": "OPT3_assoc_maxcut_p4", "item": "Detection-association correlation-clustering MaxCut (warm-start QAOA p=1, 10 qubits)", "category": "optimisation", "rigor": { "shots": 4096, "optimum_value": 27.599999999999987, "sense": "max", "p_optimum_measured": 0.029541015625, "expected_value": 22.879883495976095, "approx_ratio": 0.8289812860860908, "uniform_null_p_optimum": 0.005859375, "uniform_null_best_of_shots_p": 0.9999999999648216, "uniform_null_approx_ratio": 0.7614674900441537, "concentration_vs_null": 5.041666666666667, "n_states": 1024, "exp_lo": 22.76471133429993, "exp_hi": 22.989699379479504, "tvd_hw_vs_sim": 0.5654296875, "beats_random_null": true, "card_kind": "maxcut", "n_qubits": 10, "p_optimum_sim_aer": 0.012939453125, "approx_ci_lo": 0.824808381677534, "approx_ci_hi": 0.8329601224449099, "honest_verdict": "CONCENTRATED: QPU put 0.0295 probability on the optimum, 5.0x the uniform-random null 0.0059 \u2014 genuine signal, not best-of-N." } }, { "id": "OPT4_siteselect_p3", "item": "Ground-sensor placement budgeted max-coverage (QUBO -> QAOA, 8 qubits)", "category": "optimisation", "rigor": { "shots": 4096, "optimum_value": -4.2200063954665925, "sense": "min", "p_optimum_measured": 0.00732421875, "expected_value": -1.3992145184621592, "approx_ratio": 0.33156691894241846, "uniform_null_p_optimum": 0.0078125, "uniform_null_best_of_shots_p": 0.9999999999999888, "uniform_null_approx_ratio": 0.1940193502077432, "concentration_vs_null": 0.9375, "n_states": 256, "exp_lo": -1.435563391165977, "exp_hi": -1.3626839527477175, "tvd_hw_vs_sim": 0.17041015625, "beats_random_null": false, "card_kind": "decode_qubo", "n_qubits": 8, "reported_optimum": -4.2200063954665925, "p_optimum_sim_aer": 0.01025390625, "approx_ci_lo": 0.32291039990166887, "approx_ci_hi": 0.34018038283263113, "honest_verdict": "BEST-OF-N ONLY: optimum measured p=0.0073 ~ random null 0.0078 (x0.94); the optimum surfaces by shot count, the QPU did NOT concentrate on it." } }, { "id": "OPT5_insar_unwrap", "item": "InSAR L1 phase unwrapping (QUBO -> QAOA, 8 qubits, Etna patch)", "category": "optimisation", "rigor": { "shots": 4096, "optimum_value": 1.0, "sense": "min", "p_optimum_measured": 0.010498046875, "expected_value": 30.086181640625, "approx_ratio": 0.9110514322916666, "uniform_null_p_optimum": 0.0078125, "uniform_null_best_of_shots_p": 0.9999999999999888, "uniform_null_approx_ratio": 0.8440366972477065, "concentration_vs_null": 1.34375, "n_states": 256, "exp_lo": 29.1174560546875, "exp_hi": 31.094317626953124, "tvd_hw_vs_sim": 0.278564453125, "beats_random_null": false, "card_kind": "decode_qubo", "n_qubits": 8, "reported_optimum": 1.0, "p_optimum_sim_aer": 0.00927734375, "approx_ci_lo": 0.9079684476239964, "approx_ci_hi": 0.9140138958572246, "honest_verdict": "BEST-OF-N ONLY: optimum measured p=0.0105 ~ random null 0.0078 (x1.34); the optimum surfaces by shot count, the QPU did NOT concentrate on it." } }, { "id": "OPT6_dozier_subpixel", "item": "Dozier bispectral sub-pixel fire retrieval (one-hot QUBO -> QAOA, 8 qubits)", "category": "optimisation", "rigor": { "shots": 4096, "optimum_value": 0.025350186626916696, "sense": "min", "p_optimum_measured": 0.01953125, "expected_value": 14.294201574172197, "approx_ratio": 0.19098605254610607, "uniform_null_p_optimum": 0.00390625, "uniform_null_best_of_shots_p": 0.9999998909360707, "uniform_null_approx_ratio": 0.025468338157837667, "concentration_vs_null": 5.0, "n_states": 256, "exp_lo": 14.096839288243235, "exp_hi": 14.49580235584459, "tvd_hw_vs_sim": 0.162841796875, "beats_random_null": true, "card_kind": "decode_qubo", "n_qubits": 8, "reported_optimum": 0.025350186626916696, "p_optimum_sim_aer": 0.014892578125, "approx_ci_lo": 0.1795557110448318, "approx_ci_hi": 0.2021760802281719, "honest_verdict": "CONCENTRATED: QPU put 0.0195 probability on the optimum, 5.0x the uniform-random null 0.0039 \u2014 genuine signal, not best-of-N." } }, { "id": "OPT7_plume_so2", "item": "Volcanic ash/SO2 plume source-term inversion (sparse-selection QUBO -> QAOA, 8 qubits)", "category": "optimisation", "rigor": { "shots": 4096, "optimum_value": 0.11724208400702278, "sense": "min", "p_optimum_measured": 0.00146484375, "expected_value": 1.0378350684353832, "approx_ratio": 0.78698000568467, "uniform_null_p_optimum": 0.00390625, "uniform_null_best_of_shots_p": 0.9999998909360707, "uniform_null_approx_ratio": 0.7704875425563814, "concentration_vs_null": 0.375, "n_states": 256, "exp_lo": 1.012709019314193, "exp_hi": 1.0623232577558355, "tvd_hw_vs_sim": 0.203857421875, "beats_random_null": false, "card_kind": "decode_qubo", "n_qubits": 8, "reported_optimum": 0.11724208400702278, "p_optimum_sim_aer": 0.00048828125, "approx_ci_lo": 0.7813135775909619, "approx_ci_hi": 0.7927940309178583, "honest_verdict": "BEST-OF-N ONLY: optimum measured p=0.0015 ~ random null 0.0039 (x0.38); the optimum surfaces by shot count, the QPU did NOT concentrate on it." } }, { "id": "OPT8_spectral_unmix", "item": "Two-endmember spectral unmixing (one-hot fraction QUBO -> QAOA, 6 qubits)", "category": "optimisation", "rigor": { "shots": 4096, "optimum_value": 28.86624509648561, "sense": "min", "p_optimum_measured": 0.064208984375, "expected_value": 622.0452714528202, "approx_ratio": 0.1517320086201901, "uniform_null_p_optimum": 0.015625, "uniform_null_best_of_shots_p": 1.0, "uniform_null_approx_ratio": 0.05213363770051022, "concentration_vs_null": 4.109375, "n_states": 64, "exp_lo": 615.0489970457022, "exp_hi": 629.1507334136311, "tvd_hw_vs_sim": 0.14501953125, "beats_random_null": true, "card_kind": "decode_qubo", "n_qubits": 6, "reported_optimum": 28.86624509648561, "p_optimum_sim_aer": 0.06494140625, "approx_ci_lo": 0.141570934682114, "approx_ci_hi": 0.16173694030990704, "honest_verdict": "CONCENTRATED: QPU put 0.0642 probability on the optimum, 4.1x the uniform-random null 0.0156 \u2014 genuine signal, not best-of-N." } }, { "id": "OPT9_fusion_tasking_p4", "item": "System-of-systems sensor tasking (value-redundancy-cost QUBO -> QAOA, 8 qubits)", "category": "optimisation", "rigor": { "shots": 4096, "optimum_value": -0.83, "sense": "min", "p_optimum_measured": 0.010986328125, "expected_value": -0.38379516601562513, "approx_ratio": 0.5961947203761314, "uniform_null_p_optimum": 0.00390625, "uniform_null_best_of_shots_p": 0.9999998909360707, "uniform_null_approx_ratio": 0.5135746606334842, "concentration_vs_null": 2.8125, "n_states": 256, "exp_lo": -0.39014047241210936, "exp_hi": -0.3775990295410156, "tvd_hw_vs_sim": 0.15576171875, "beats_random_null": true, "card_kind": "decode_qubo", "n_qubits": 8, "reported_optimum": -0.83, "p_optimum_sim_aer": 0.01171875, "approx_ci_lo": 0.590587357050693, "approx_ci_hi": 0.6019370791059814, "honest_verdict": "CONCENTRATED: QPU put 0.0110 probability on the optimum, 2.8x the uniform-random null 0.0039 \u2014 genuine signal, not best-of-N." } }, { "id": "N1", "item": "N1 \u2014 Okada/DYKE volcanic source inversion (QUBO -> QAOA)", "category": "optimisation", "rigor": { "shots": 4096, "optimum_value": 154.840322793695, "sense": "min", "p_optimum_measured": 0.01171875, "expected_value": 2988.187830252505, "approx_ratio": 0.7133687835345324, "uniform_null_p_optimum": 0.015625, "uniform_null_best_of_shots_p": 1.0, "uniform_null_approx_ratio": 0.6637710813902846, "concentration_vs_null": 0.75, "n_states": 64, "exp_lo": 2912.3742644302097, "exp_hi": 3061.253103226864, "tvd_hw_vs_sim": 0.1943359375, "beats_random_null": false, "card_kind": "decode_qubo", "n_qubits": 6, "reported_optimum": 154.840322793695, "p_optimum_sim_aer": 0.00341796875, "approx_ci_lo": 0.7059772482502478, "approx_ci_hi": 0.7210383456122598, "honest_verdict": "BEST-OF-N ONLY: optimum measured p=0.0117 ~ random null 0.0156 (x0.75); the optimum surfaces by shot count, the QPU did NOT concentrate on it." } }, { "id": "N4", "item": "N4 \u2014 Sicily FWI fire-danger exceedance via QAE (MLAE)", "category": "estimation", "rigor": { "card_kind": "mlae_qae", "n_qubits": 1, "grover_powers": [ 0, 1, 2, 4, 8 ], "shots_per_level": 256, "n_queries": 8960, "p_true": 0.25, "hw_hits": [ 77, 255, 71, 256, 66 ], "sim_hits": [ 64, 256, 67, 256, 60 ], "hw_a_hat": 0.2476516633374061, "hw_abs_err": 0.002348336662593903, "sim_a_hat": 0.25070946065955924, "sim_abs_err": 0.0007094606595592357, "mc_mean_abs_err": 0.0041685267857142876, "mc_err_ci95": [ 0.0033537248883928603, 0.005131347656250003 ], "hw_below_mc_ci_lo": true, "sim_below_mc_ci_lo": true, "verdict": "Quantum edge SURVIVED hardware: HW MLAE abs-err 0.0023 sits below the classical-MC CI lower bound 0.0034 at matched 8960 queries." } }, { "id": "N6", "item": "N6 \u2014 MLAE proportion estimation (1q, Grover {1,2,4,8,16})", "category": "estimation", "rigor": { "card_kind": "mlae_qae", "n_qubits": 1, "grover_powers": [ 1, 2, 4, 8, 16 ], "shots_per_level": 128, "n_queries": 8576, "p_true": 0.5, "hw_hits": [ 65, 57, 60, 61, 56 ], "sim_hits": [ 70, 56, 67, 66, 67 ], "hw_a_hat": 0.4978398967426467, "hw_abs_err": 0.002160103257353274, "sim_a_hat": 0.5005891207664656, "sim_abs_err": 0.0005891207664655562, "mc_mean_abs_err": 0.004267723880597016, "mc_err_ci95": [ 0.0033562169620646822, 0.005206438510572148 ], "hw_below_mc_ci_lo": true, "sim_below_mc_ci_lo": true, "verdict": "Quantum edge SURVIVED hardware: HW MLAE abs-err 0.0022 sits below the classical-MC CI lower bound 0.0034 at matched 8576 queries." } }, { "id": "N2", "item": "N2 \u2014 Lava-flow thermal-pixel MaxCut segmentation (9-node)", "category": "optimisation", "rigor": { "shots": 4096, "optimum_value": 3.499221704673372, "sense": "max", "p_optimum_measured": 0.065673828125, "expected_value": 2.269623283866284, "approx_ratio": 0.648608026417731, "uniform_null_p_optimum": 0.00390625, "uniform_null_best_of_shots_p": 0.9999998909360707, "uniform_null_approx_ratio": 0.5, "concentration_vs_null": 16.8125, "n_states": 512, "exp_lo": 2.2512819434225007, "exp_hi": 2.287681927015152, "tvd_hw_vs_sim": 0.217041015625, "beats_random_null": true, "card_kind": "maxcut", "n_qubits": 9, "p_optimum_sim_aer": 0.0927734375, "approx_ci_lo": 0.6433664778701532, "approx_ci_hi": 0.6537687863446455, "honest_verdict": "CONCENTRATED: QPU put 0.0657 probability on the optimum, 16.8x the uniform-random null 0.0039 \u2014 genuine signal, not best-of-N." } }, { "id": "N3", "item": "N3 \u2014 Seismic-swarm onset correlation-clustering MaxCut (10-node)", "category": "optimisation", "rigor": { "shots": 4096, "optimum_value": 21.818944431083388, "sense": "max", "p_optimum_measured": 0.0400390625, "expected_value": 12.9372147416717, "approx_ratio": 0.5929349507504713, "uniform_null_p_optimum": 0.001953125, "uniform_null_best_of_shots_p": 0.9996671513538756, "uniform_null_approx_ratio": 0.5481233179412733, "concentration_vs_null": 20.5, "n_states": 1024, "exp_lo": 12.83511334689527, "exp_hi": 13.037950186553557, "tvd_hw_vs_sim": 0.345947265625, "beats_random_null": true, "card_kind": "maxcut", "n_qubits": 10, "p_optimum_sim_aer": 0.08984375, "approx_ci_lo": 0.588255467052306, "approx_ci_hi": 0.5975518306000002, "honest_verdict": "CONCENTRATED: QPU put 0.0400 probability on the optimum, 20.5x the uniform-random null 0.0020 \u2014 genuine signal, not best-of-N." } }, { "id": "N7", "item": "N7 \u2014 Tsunami PTF exceedance QAE (sim-only prototype)", "category": "estimation", "rigor": { "card_kind": "mlae_qae", "n_qubits": 1, "grover_powers": [ 0, 1, 2, 4, 8 ], "shots_per_level": 256, "n_queries": 8960, "p_true": 0.19312610938196512, "hw_hits": [ 44, 244, 159, 170, 246 ], "sim_hits": [ 60, 241, 140, 171, 253 ], "hw_a_hat": 0.18995845900245176, "hw_abs_err": 0.0031676503795133593, "sim_a_hat": 0.1936696706326121, "sim_abs_err": 0.0005435612506469734, "mc_mean_abs_err": 0.0030676887287233385, "mc_err_ci95": [ null, null ], "hw_below_mc_ci_lo": false, "sim_below_mc_ci_lo": false, "verdict": "Quantum edge ERODED under hardware noise: HW MLAE abs-err 0.0032 exceeds MC mean 0.0031." } }, { "id": "N5", "item": "N5 \u2014 SO2/degassing-vs-smoke fidelity kernel (4q, capped)", "category": "kernel", "rigor": { "card_kind": "kernel", "n_qubits": 4, "n_total": 462, "n_pos": 33, "n_neg": 429, "exact_sim_qk_loo_auc_fulldata": 0.8361234724871088, "matched_rbf_loo_auc_fulldata": 0.9520378611287702, "published_classical_ref": { "note": "no published RBF reference for this exact 4-feature SO2/smoke split; matched RBF computed in-item as the classical bar.", "rbf_auc": null }, "n_landmarks": 6, "landmark_labels": [ 1, 1, 0, 1, 0, 0 ], "hw_measured_kernel_loo_auc_landmarks": 0.0, "exact_sim_kernel_loo_auc_landmarks": 0.0, "kernel_mean_abs_entry_error_hw_vs_sim": 0.010117864125417955, "kernel_rmse_entry_hw_vs_sim": 0.012587179473722015, "kernel_max_abs_entry_error_hw_vs_sim": 0.030736070074644684, "landmark_auc_degenerate_small_n": true, "verdict": "Full-data exact-sim QK AUC 0.836 <= matched classical RBF 0.952 (classification stays CLASSICAL-favoured / TIE). On hardware, the 6-landmark fidelity sub-kernel is recovered with RMSE 0.013 per entry vs exact sim (shot-noise degradation). The n=6 landmark LOO-AUC is statistically degenerate and is reported for completeness only \u2014 the honest verdict is the full-data AUC: no quantum advantage in classification, confirmed not overturned by hardware." } }, { "id": "N8", "item": "N8 \u2014 Etna volcanic-vs-wildfire fidelity QK (4q, Nystrom, capped)", "category": "kernel", "rigor": { "card_kind": "kernel", "n_qubits": 4, "n_total": 437, "n_pos": 33, "n_neg": 404, "exact_sim_qk_loo_auc_fulldata": 0.7818031803180318, "matched_rbf_loo_auc_fulldata": 0.9353435343534353, "published_classical_ref": { "full_rbf_auc": 0.936, "full_quantum_auc": 0.837, "source": "ADRIZ_Q_CONSOLIDATED_ASSESSMENT.md (fusion lane)", "rbf_auc": 0.936 }, "n_landmarks": 6, "landmark_labels": [ 1, 0, 0, 1, 1, 0 ], "hw_measured_kernel_loo_auc_landmarks": 0.0, "exact_sim_kernel_loo_auc_landmarks": 0.0, "kernel_mean_abs_entry_error_hw_vs_sim": 0.03411450240209303, "kernel_rmse_entry_hw_vs_sim": 0.05079365986393184, "kernel_max_abs_entry_error_hw_vs_sim": 0.11993798767554409, "landmark_auc_degenerate_small_n": true, "verdict": "Full-data exact-sim QK AUC 0.782 <= matched classical RBF 0.935 (classification stays CLASSICAL-favoured / TIE). On hardware, the 6-landmark fidelity sub-kernel is recovered with RMSE 0.051 per entry vs exact sim (shot-noise degradation). The n=6 landmark LOO-AUC is statistically degenerate and is reported for completeness only \u2014 the honest verdict is the full-data AUC: no quantum advantage in classification, confirmed not overturned by hardware." } }, { "id": "N9", "item": "N9 \u2014 Thermal FIRMS hot/cold fidelity QK (4q, capped)", "category": "kernel", "rigor": { "card_kind": "kernel", "n_qubits": 4, "n_total": 462, "n_pos": 231, "n_neg": 231, "exact_sim_qk_loo_auc_fulldata": 0.968591293266618, "matched_rbf_loo_auc_fulldata": 0.9991379471898952, "published_classical_ref": { "qk_auc": 0.906, "qk_ci": [ 0.874, 0.938 ], "rbf_auc": 0.913, "rbf_ci": [ 0.892, 0.932 ], "source": "ADRIZ_Q_CONSOLIDATED_ASSESSMENT.md (Thermal row) \u2014 TIE" }, "n_landmarks": 6, "landmark_labels": [ 1, 0, 1, 0, 0, 1 ], "hw_measured_kernel_loo_auc_landmarks": 0.0, "exact_sim_kernel_loo_auc_landmarks": 0.0, "kernel_mean_abs_entry_error_hw_vs_sim": 0.015705865544391736, "kernel_rmse_entry_hw_vs_sim": 0.022261893331330686, "kernel_max_abs_entry_error_hw_vs_sim": 0.05635812006633806, "landmark_auc_degenerate_small_n": true, "verdict": "Full-data exact-sim QK AUC 0.969 <= matched classical RBF 0.999 (classification stays CLASSICAL-favoured / TIE). On hardware, the 6-landmark fidelity sub-kernel is recovered with RMSE 0.022 per entry vs exact sim (shot-noise degradation). The n=6 landmark LOO-AUC is statistically degenerate and is reported for completeness only \u2014 the honest verdict is the full-data AUC: no quantum advantage in classification, confirmed not overturned by hardware." } }, { "id": "N10", "item": "N10 \u2014 Geomag storm/quiet fidelity QK (4q, capped)", "category": "kernel", "rigor": { "card_kind": "kernel", "n_qubits": 4, "n_total": 60, "n_pos": 30, "n_neg": 30, "exact_sim_qk_loo_auc_fulldata": 0.91, "matched_rbf_loo_auc_fulldata": 1.0, "published_classical_ref": { "fqk_auc": 0.902, "fqk_ci": [ 0.889, 0.916 ], "rbf_auc": 0.905, "rbf_ci": [ 0.875, 0.936 ], "source": "ADRIZ_Q_CONSOLIDATED_ASSESSMENT.md (Geomag row, INTERMAGNET DUR) \u2014 TIE" }, "n_landmarks": 6, "landmark_labels": [ 0, 1, 0, 0, 1, 1 ], "hw_measured_kernel_loo_auc_landmarks": 0.4444444444444444, "exact_sim_kernel_loo_auc_landmarks": 0.4444444444444444, "kernel_mean_abs_entry_error_hw_vs_sim": 0.01864967849796342, "kernel_rmse_entry_hw_vs_sim": 0.02463052869924575, "kernel_max_abs_entry_error_hw_vs_sim": 0.05746646579959347, "landmark_auc_degenerate_small_n": true, "verdict": "Full-data exact-sim QK AUC 0.910 <= matched classical RBF 1.000 (classification stays CLASSICAL-favoured / TIE). On hardware, the 6-landmark fidelity sub-kernel is recovered with RMSE 0.025 per entry vs exact sim (shot-noise degradation). The n=6 landmark LOO-AUC is statistically degenerate and is reported for completeness only \u2014 the honest verdict is the full-data AUC: no quantum advantage in classification, confirmed not overturned by hardware." } } ] }