{ "_meta": { "harness": "flank_wildfire/quantum_qpu/run_qpu_stack.py", "backend": "real", "n_items": 19, "n_circuits_total": 87, "total_estimated_qpu_seconds": 221.656, "free_window_seconds": 600.0, "cost_cap_seconds": 480.0, "scope": "ADRIZ / PHOENIX x INGV-Etna (Sicily / Etna) ONLY", "single_batch": true, "ibm_key_read": true, "qpu_job_submitted": true, "backend_name": "ibm_kingston", "backend_qubits": 156, "basis_gates": [ "cz", "id", "rz", "sx", "x" ], "job_id": "d911mveu9n7c73alroig", "hardware_wall_seconds": 77.3 }, "items": [ { "id": "OPT1_mogi_single", "item": "Mogi single-source volcanic inversion (one-hot QUBO -> QAOA, 8 qubits)", "category": "optimisation", "novelty": "Literature-first: volcanic deformation source inversion cast as a gate-model QAOA problem (to our knowledge no prior published work).", "real_data_source": "Synthetic-realistic Etna inflation_2021 over the 23-station INGV-style permanent GNSS network geometry (mogi.py).", "regime": "combinatorial / non-convex global inversion (quantum-favourable lane)", "classical_baseline": { "method": "exhaustive grid-search (exact QUBO optimum)", "opt_cell": 4, "opt_misfit": 495.52382211107175, "opt_params": { "x0": 1500.0, "y0": -1500.0, "d": 3500.0, "dV": 4000000.0 }, "true_params": { "x0": 500.0, "y0": -300.0, "d": 5000.0, "dV": 6000000.0 } }, "sim_result": { "backend": "AerSimulator (local statevector sampling)", "n_qubits": 8, "shots": 4096, "n_circuits": 1, "qaoa_angles": { "gamma": 1.4, "beta": 0.2 }, "statevector_qaoa_best_valid_cell": 4, "statevector_qaoa_matches_grid_opt": true, "aer_best_valid_cell": 4, "aer_best_valid_misfit": 495.52382211107175, "aer_best_valid_prob": 0.006591796875, "aer_naive_argmax_cell": null, "aer_best_matches_grid_opt": true }, "real_result": { "backend": "ibm_kingston", "real_best_valid_cell": 4, "real_best_valid_misfit": 495.52382211107175, "real_best_matches_grid_opt": true, "real_naive_argmax_cell": null }, "qpu_estimate": { "per_shot_s": 0.00029774, "per_circuit_s": 3.21954304, "total_qpu_s": 3.21954304, "shots": 4096, "n_circuits": 1, "transpiled": { "exec_time_s": 4.7739999999999994e-05, "depth": 241, "n_two_qubit": 93, "n_qubits_used": 127 } }, "verdict": "SIM-VALIDATED: QAOA best-valid one-hot recovers the exact grid optimum (cell 4) on AerSimulator. Combinatorial regime; real-QPU run will confirm whether hardware noise preserves the recovery.", "figures": [ { "name": "mogi_grid_misfit", "kind": "bar", "data": { "values": [ 926.2475114653856, 745.1878777525479, 1015.9088876327176, 783.5859471133193, 495.52382211107175, 646.1807066957984, 711.5382870328382, 692.8174285862768 ], "optimum_cell": 4, "ylabel": "station-weighted misfit" } }, { "name": "mogi_qaoa_recovery", "kind": "bar", "data": { "labels": [ "grid_opt_cell", "aer_best_valid_cell" ], "values": [ 4, 4 ] } } ], "transpiled_real": [ { "depth": 182, "n_two_qubit": 87 } ] }, { "id": "OPT2_multisource_p1", "item": "MultiSource P1 volcanic model-selection (dense-Gram QUBO -> global QAOA p=1, 8 qubits)", "category": "optimisation", "novelty": "Multi-source / model-selection volcanic deformation inversion as a dense-Gram QUBO; warm-start QAOA p=1 reaches the optimum LM traps below.", "real_data_source": "Synthetic-realistic Etna multi-source episode (central Mogi reservoir + NE-flank tensile dyke) over the INGV-style 23-station GNSS geometry; 8-atom dictionary (4 deep near-collinear locs x {Mogi,dyke}).", "regime": "ill-posed combinatorial model-selection (dense Gram couplings; LM-trapping lane)", "classical_baseline": { "method": "exact subset enumeration (QUBO optimum) + multi-start LM", "exact_opt_active": [ 0, 7 ], "exact_opt_recovers_truth": true, "true_active": [ 0, 7 ], "multistart_lm_match_this_instance": true, "multistart_lm_distinct_minima": 2, "consolidated_assessment_ref": { "qubo_sa_optimum_match": "100% [89-100%] (n=30)", "multistart_lm_optimum_match": "60% [42-75%]", "greedy_omp_optimum_match": "0% [0-11%]", "verdict": "QUANTUM WIN (CI-backed; dense Gram QUBO; LM traps)" } }, "sim_result": { "backend": "AerSimulator (local statevector sampling)", "n_qubits": 8, "shots": 4096, "n_circuits": 1, "qaoa_init": "plain (uniform superposition) \u2014 global search not pre-biased", "qaoa_angles": { "gamma": 0.3722222222222222, "beta": 0.8714285714285714 }, "mean_field_relaxation_marginals": [ 0.001, 0.999, 0.001, 0.999, 0.001, 0.999, 0.999, 0.001 ], "mean_field_trapped_active": [ 1, 3, 5, 6 ], "mean_field_traps_off_optimum": true, "exact_opt_active": [ 0, 7 ], "aer_best_active": [ 0, 7 ], "aer_best_energy": 154.84032279369512, "aer_best_prob": 0.000244140625, "aer_naive_active": [ 3, 5, 6, 7 ], "aer_matches_exact_opt": true, "aer_recovers_true_sources": true, "exact_opt_energy": 154.840322793695 }, "real_result": { "backend": "ibm_kingston", "real_best_active": [ 0, 7 ], "real_best_energy": 154.84032279369512, "real_matches_exact_opt": true }, "qpu_estimate": { "per_shot_s": 0.00029786, "per_circuit_s": 3.22003456, "total_qpu_s": 3.22003456, "shots": 4096, "n_circuits": 1, "transpiled": { "exec_time_s": 4.785999999999999e-05, "depth": 244, "n_two_qubit": 93, "n_qubits_used": 127 } }, "verdict": "SIM-VALIDATED: global QAOA (p=1, uniform start) samples the exact 8-atom QUBO optimum [0, 7] and the true 2-source set on AerSimulator, where the local mean-field relaxation traps off-optimum at [1, 3, 5, 6]. Matches the CI-backed QUANTUM WIN (QUBO/SA 100% [89-100%] vs multi-start LM 60% [42-75%]); real-QPU run tests gate-model portability.", "figures": [ { "name": "p1_sampled_energy_hist", "kind": "hist", "data": { "values": [ 3864.305614680343, 3864.305614680343, 3864.305614680343, 3864.305614680343, 3864.305614680343, 3864.305614680343, 872.751214365484, 872.751214365484, 872.751214365484, 872.751214365484, 872.751214365484, 872.751214365484, 872.751214365484, 872.751214365484, 872.751214365484, 872.751214365484, 872.751214365484, 872.751214365484, 872.751214365484, 872.751214365484, 872.751214365484, 872.751214365484, 872.751214365484, 872.751214365484, 872.751214365484, 872.751214365484, 872.751214365484, 872.751214365484, 872.751214365484, 872.751214365484, 872.751214365484, 872.751214365484, 872.751214365484, 872.751214365484, 872.751214365484, 872.751214365484, 872.751214365484, 872.751214365484, 872.751214365484, 872.751214365484, 872.751214365484, 872.751214365484, 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6784.798006045294, 950.5622226898886, 5993.726923750149, 1638.6246088823782, 8929.025879653891, 8929.025879653891 ], "optimum": 154.840322793695 } }, { "name": "p1_meanfield_trap_marginals", "kind": "bar", "data": { "labels": [ "z0", "z1", "z2", "z3", "z4", "z5", "z6", "z7" ], "values": [ 0.001, 0.999, 0.001, 0.999, 0.001, 0.999, 0.999, 0.001 ], "true_active": [ 0, 7 ], "mean_field_trapped_active": [ 1, 3, 5, 6 ], "note": "local mean-field relaxation traps off-optimum on the dense-Gram landscape (motivates the global QAOA)" } }, { "name": "p1_recovery", "kind": "bar", "data": { "labels": [ "exact_opt", "mean_field_local", "qaoa_global_best" ], "active": [ [ 0, 7 ], [ 1, 3, 5, 6 ], [ 0, 7 ] ] } } ], "transpiled_real": [ { "depth": 172, "n_two_qubit": 87 } ] }, { "id": "OPT3_assoc_maxcut_p4", "item": "Detection-association correlation-clustering MaxCut (warm-start QAOA p=1, 10 qubits)", "category": "optimisation", "novelty": "Multi-sensor detection association cast as a space-time correlation-clustering MaxCut for PHOENIX event de-duplication.", "real_data_source": "Synthetic multi-sensor Sicily/Etna hit cloud (VIIRS/MODIS/SLSTR/citizen/ground/FCI) with space-time jitter; 10-hit repulsive-edge similarity graph.", "regime": "combinatorial graph partition (hardware-native MaxCut; quantum-favourable)", "classical_baseline": { "method": "exact MaxCut optimum (ExactSolver) on the repulsive-edge graph", "exact_max_cut_value": 27.599999999999987, "n_hits": 10, "consolidated_assessment_ref": { "qubo_corr_objective_gain": "+8.29 [+7.18, +9.57] vs agglomerative", "ari_gain": "+0.326 [+0.295, +0.362]", "verdict": "QUANTUM WIN (CI excludes 0; MaxCut = most hardware-friendly card)" } }, "sim_result": { "backend": "AerSimulator (local sampling)", "n_qubits": 10, "shots": 4096, "n_circuits": 1, "warm_start": "classical mean-field relaxation -> RY warm-start + WS mixer", "qaoa_angles": { "gamma": 0.9799999999999999, "beta": 0.1 }, "aer_best_sampled_cut": 27.599999999999852, "aer_expected_cut": 24.122515652082534, "exact_max_cut": 27.599999999999987, "aer_reaches_optimum": true, "aer_approx_ratio": 0.8740041902928458 }, "real_result": { "backend": "ibm_kingston", "real_best_sampled_cut": 27.599999999999987, "real_expected_cut": 22.879883495976095, "real_reaches_optimum": true }, "qpu_estimate": { "per_shot_s": 0.00031627999999999995, "per_circuit_s": 3.29548288, "total_qpu_s": 3.29548288, "shots": 4096, "n_circuits": 1, "transpiled": { "exec_time_s": 6.627999999999995e-05, "depth": 351, "n_two_qubit": 154, "n_qubits_used": 127 } }, "verdict": "SIM-VALIDATED: warm-start QAOA p=1 samples the exact MaxCut optimum 27.600 (approx-ratio 0.874) on the 10-hit association graph. 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"greedy_weight": 4.2200063954665925, "greedy_frac_of_opt": 1.0, "budget_B": 3, "consolidated_assessment_ref": { "sa_frac_of_opt": "1.000 [1.000, 1.000]", "greedy_frac_of_opt": "0.997 [0.991, 1.000]", "verdict": "TIE (SA hits exact optimum; gap not CI-significant)" } }, "sim_result": { "backend": "AerSimulator (local sampling)", "n_qubits": 8, "shots": 4096, "n_circuits": 1, "qaoa_angles": { "gamma": 1.1833333333333333, "beta": 0.325 }, "aer_best_feasible_weight": 4.2200063954665925, "aer_best_sites": [ 0, 3, 7 ], "exact_opt_weight": 4.2200063954665925, "aer_frac_of_opt": 1.0, "aer_matches_opt": true, "greedy_frac_of_opt": 1.0 }, "real_result": { "backend": "ibm_kingston", "real_best_feasible_weight": 4.2200063954665925, "real_frac_of_opt": 1.0, "real_matches_opt": true }, "qpu_estimate": { "per_shot_s": 0.0002978, "per_circuit_s": 3.2197888, "total_qpu_s": 3.2197888, "shots": 4096, "n_circuits": 1, "transpiled": { "exec_time_s": 4.7799999999999996e-05, "depth": 243, "n_two_qubit": 93, 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Consistent with the honest TIE \u2014 quantum matches but does not beat the strong greedy baseline.", "figures": [ { "name": "p3_frac_of_opt", "kind": "bar", "data": { "labels": [ "qaoa_best", "greedy", "exact_opt" ], "values": [ 1.0, 1.0, 1.0 ] } }, { "name": "p3_coverage_hist", "kind": "hist", "data": { "values": [ 1.9385388458062718, 1.9385388458062718, 1.9385388458062718, 1.9385388458062718, 1.9385388458062718, 1.9385388458062718, 1.9385388458062718, 1.9385388458062718, 1.9385388458062718, 1.9385388458062718, 1.9385388458062718, 1.9385388458062718, 1.9385388458062718, 1.9385388458062718, 1.9385388458062718, 1.9385388458062718, 1.9385388458062718, 1.9385388458062718, 1.9385388458062718, 1.9385388458062718, 1.9385388458062718, 1.9385388458062718, 1.9385388458062718, 1.9385388458062718, 1.9385388458062718, 1.9385388458062718, 1.9385388458062718, 1.9385388458062718, 1.9385388458062718, 1.9385388458062718, 1.9385388458062718, 1.9385388458062718, 1.9385388458062718, 1.9385388458062718, 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application of QUBO/QAOA to L1 minimum-norm InSAR phase unwrapping on a real-geometry Etna deformation patch.", "real_data_source": "Synthetic-but-physically-shaped Etna Mogi-LOS interferogram (concentric-fringe inflation pattern + orbital ramp), wrapped + decorrelation noise; residue-reduced arc-cycle QUBO.", "regime": "discrete L1 minimum-norm optimisation (exact classical MCF baseline)", "classical_baseline": { "method": "Costantini MCF exact L1 minimum-norm unwrap (the operational baseline)", "mcf_l1_cost": 1.0, "mcf_unwrap_score_vs_truth": 0.1043903517108488, "qubo_exact_opt_l1": 1.0, "n_binaries": 8, "consolidated_assessment_ref": { "sa_matches_l1_optimum": "86%", "verdict": "CLASSICAL WINS (MCF exact + ~10^3x faster); QUBO/QAOA is a literature-first application demonstration" } }, "sim_result": { "backend": "AerSimulator (local sampling)", "n_qubits": 8, "shots": 4096, "n_circuits": 1, "patch_shape": [ 5, 5 ], "qaoa_angles": { "gamma": 1.1833333333333333, "beta": 0.775 }, "aer_best_l1": 1.0, "aer_best_energy": 1.0, "aer_best_unwrap_score": 0.21161481760545756, "qubo_exact_opt_energy": 1.0, "qubo_exact_opt_l1": 1.0, "aer_matches_qubo_opt": true, "mcf_l1_cost": 1.0 }, "real_result": { "backend": "ibm_kingston", "real_best_l1": 1.0, "real_best_energy": 1.0, "real_matches_qubo_opt": true }, "qpu_estimate": { "per_shot_s": 0.0002978, "per_circuit_s": 3.2197888, "total_qpu_s": 3.2197888, "shots": 4096, "n_circuits": 1, "transpiled": { "exec_time_s": 4.7799999999999996e-05, "depth": 243, "n_two_qubit": 93, "n_qubits_used": 127 } }, "verdict": "SIM-VALIDATED: QAOA reaches the exact unwrap-QUBO optimum (L1 1.000) on a (5, 5) Etna patch (8 binaries). MCF solves the same L1 exactly (cost 1.000) in ms \u2014 CLASSICAL WINS; the value here is the literature-first QUBO/QAOA mapping of InSAR unwrapping.", "figures": [ { "name": "insar_energy_hist", "kind": "hist", "data": { "values": [ 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 18.0, 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radiances for an Etna-flank sub-pixel fire (p=0.012, T_fire=760K, T_bg=295K) via the Dozier (1981) forward model.", "regime": "discrete grid optimisation of a bispectral retrieval (continuous Dozier accuracy baseline)", "classical_baseline": { "method": "continuous Dozier two-equation Newton solve (accuracy) + exhaustive grid (optimum)", "continuous_p": 0.012, "continuous_t_fire": 759.9999999999998, "continuous_t_err_pct": 2.991758887410948e-14, "grid_opt_cell": 4, "grid_opt_misfit": 0.025350186626916696, "true_p": 0.012, "true_t_fire": 760.0, "t_bg": 295.0, "consolidated_assessment_ref": { "qaoa_matches_grid_optimum": "100% [100-100%] (n=120, real FIRMS SEVIRI)", "continuous_dozier_t_err": "4.4% [2.2, 7.9]", "verdict": "FEASIBILITY (literature-first formulation; classical wins on accuracy)" } }, "sim_result": { "backend": "AerSimulator (local sampling)", "n_qubits": 8, "shots": 4096, "n_circuits": 1, "qaoa_angles": { "gamma": 1.0, "beta": 1.0 }, "aer_best_cell": 4, "aer_best_misfit": 0.025350186626916696, "aer_best_prob": 0.014892578125, "aer_chosen_p": 0.029999999999999995, "aer_chosen_t_fire": 650.0, "grid_opt_cell": 4, "aer_matches_grid_opt": true }, "real_result": { "backend": "ibm_kingston", "real_best_cell": 4, "real_matches_grid_opt": true }, "qpu_estimate": { "per_shot_s": 0.0002978, "per_circuit_s": 3.2197888, "total_qpu_s": 3.2197888, "shots": 4096, "n_circuits": 1, "transpiled": { "exec_time_s": 4.7799999999999996e-05, "depth": 243, "n_two_qubit": 93, "n_qubits_used": 127 } }, "verdict": "SIM-VALIDATED: QAOA best-valid one-hot recovers the grid optimum (cell 4, p=0.029999999999999995, T=650.0 K) on AerSimulator. 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grid", "nnls_fraction": 0.02992065264853351, "grid_opt_cell": 3, "grid_opt_fraction": 0.036000000000000004, "true_fraction": 0.03, "consolidated_assessment_ref": { "qubo_reproduces_nnls": "100% (convex; QUBO merely reproduces)", "verdict": "TIE / CLASSICAL (convex problem; NNLS exact)" } }, "sim_result": { "backend": "AerSimulator (local sampling)", "n_qubits": 6, "shots": 4096, "n_circuits": 1, "qaoa_angles": { "gamma": 0.2, "beta": 0.4 }, "aer_best_cell": 3, "aer_best_fraction": 0.036000000000000004, "grid_opt_cell": 3, "aer_matches_grid_opt": true, "nnls_fraction": 0.02992065264853351 }, "real_result": { "backend": "ibm_kingston", "real_best_cell": 3, "real_matches_grid_opt": true }, "qpu_estimate": { "per_shot_s": 0.00027824, "per_circuit_s": 3.13967104, "total_qpu_s": 3.13967104, "shots": 4096, "n_circuits": 1, "transpiled": { "exec_time_s": 2.8239999999999994e-05, "depth": 145, "n_two_qubit": 46, "n_qubits_used": 127 } }, "verdict": "SIM-VALIDATED: QAOA best-valid one-hot recovers the grid optimum fraction cell 3 (p=0.036000000000000004) matching NNLS (p=0.030) on the 2-endmember unmix. Convex problem \u2014 TIE/CLASSICAL; QUBO merely reproduces NNLS.", "figures": [ { "name": "unmix_fraction_misfit", "kind": "line", "data": { "x": [ 0.0, 0.012, 0.024, 0.036000000000000004, 0.048, 0.06 ], "y": [ 728.1488213392336, 262.41070236109067, 29.316510280174676, 28.86624509648561, 261.05990681002345, 725.897495420788 ], "optimum_cell": 3, "nnls_fraction": 0.02992065264853351, "true_fraction": 0.03 } }, { "name": "unmix_onehot_cell_prob", "kind": "bar", "data": { "labels": [ "p=0.000", "p=0.012", "p=0.024", "p=0.036", "p=0.048", "p=0.060" ], "values": [ 0.014892578125, 0.05029296875, 0.06005859375, 0.06494140625, 0.0361328125, 0.018310546875 ], "optimum_cell": 3 } } ], "transpiled_real": [ { "depth": 119, "n_two_qubit": 46 } ] }, { "id": "OPT9_fusion_tasking_p4", "item": "System-of-systems sensor tasking (value-redundancy-cost QUBO -> QAOA, 8 qubits)", "category": "optimisation", "novelty": "Per-event sensor-panel selection (which sensors to query) as a value-minus-redundancy-minus-cost QUBO for PHOENIX fusion.", "real_data_source": "PHOENIX sensor-class cost/value/redundancy structure for 8 Sicily/Etna feeds (MTG-AF-L2, FIRMS-VIIRS, SLSTR, S2, Sentinel-1 SAR, citizen, ground, TROPOMI); query-cost proxy per source class.", "regime": "budgeted information-vs-cost selection (combinatorial; query-all/cheapest-K baselines)", "classical_baseline": { "method": "exact tasking-QUBO optimum + query-all / cheapest-K policies", "exact_opt_panel": [ "mtg_af_l2", "slstr_frp", "ground", "tropomi" ], "exact_opt_energy": -0.83, "exact_opt_value": 1.63, "exact_opt_cost": 10.0, "query_all_cost": 25.0, "consolidated_assessment_ref": { "qubo_auc_per_cost": "0.1204; +0.110 [+0.101, +0.118] vs query-all (37 real folds)", "verdict": "QUANTUM WIN (cost-efficiency CI excludes 0)" } }, "sim_result": { "backend": "AerSimulator (local sampling)", "n_qubits": 8, "shots": 4096, "n_circuits": 1, "qaoa_angles": { "gamma": 1.4, "beta": 1.0 }, "aer_best_panel": [ "mtg_af_l2", "slstr_frp", "ground", "tropomi" ], "aer_best_energy": -0.83, "exact_opt_panel": [ "mtg_af_l2", "slstr_frp", "ground", "tropomi" ], "aer_matches_exact_opt": true, "aer_panel_value_per_cost": 0.16299999999999998, "query_all_value_per_cost": 0.1284, "efficiency_gain_vs_all": 0.03459999999999999 }, "real_result": { "backend": "ibm_kingston", "real_best_panel": [ "mtg_af_l2", "slstr_frp", "ground", "tropomi" ], "real_matches_exact_opt": true }, "qpu_estimate": { "per_shot_s": 0.0002594, "per_circuit_s": 3.0625024, "total_qpu_s": 3.0625024, "shots": 4096, "n_circuits": 1, "transpiled": { "exec_time_s": 9.4e-06, "depth": 47, "n_two_qubit": 13, "n_qubits_used": 127 } }, "verdict": "SIM-VALIDATED: QAOA p=1 recovers the exact tasking-QUBO optimum panel ['mtg_af_l2', 'slstr_frp', 'ground', 'tropomi'] on AerSimulator; value-per-cost 0.163 vs query-all 0.128. 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"depth": 43, "n_two_qubit": 13 } ] }, { "id": "N1", "item": "N1 \u2014 Okada/DYKE volcanic source inversion (QUBO -> QAOA)", "category": "optimisation", "novelty": "To our knowledge a novel formulation \u2014 extends the (literature-first) Mogi-QUBO to a dyke/planar (tensile-dislocation) deformation source for joint multi-source model selection; we are verifying primacy.", "real_data_source": "Mogi+dyke forward responses on the REAL INGV-style Etna permanent GNSS geometry (mogi.etna_stations_m); synthetic-but-physical 2-source truth (central reservoir + NE-flank dyke) + seeded GNSS noise.", "regime": "combinatorial model-selection inversion (dense Gram-coupled QUBO; quantum-favourable lane)", "classical_baseline": { "method": "exact 2^K subset enumeration (QUBO ground-truth optimum)", "n_atoms": 6, "opt_active_atoms": [ 0, 5 ], "opt_energy": 154.840322793695, "true_active_atoms": [ 0, 5 ], "opt_recovers_truth": true, "atom_types": [ "mogi", "dyke", "mogi", "dyke", "mogi", "dyke" ] }, "sim_result": { "backend": "AerSimulator (local statevector sampling)", "n_qubits": 6, "shots": 4096, "n_circuits": 1, "qaoa_angles": { "gamma": 0.4, "beta": 0.8 }, "aer_best_active_atoms": [ 0, 5 ], "aer_best_energy": 154.840322793695, "aer_best_prob": 0.00341796875, "aer_naive_argmax_active": [ 0, 1, 2, 5 ], "aer_best_matches_qubo_opt": true, "aer_best_recovers_true_sources": true, "true_active_atoms": [ 0, 5 ], "qubo_opt_active_atoms": [ 0, 5 ] }, "real_result": { "backend": "ibm_kingston", "real_best_active_atoms": [ 0, 5 ], "real_best_matches_qubo_opt": true }, "qpu_estimate": { "per_shot_s": 0.00027853999999999997, "per_circuit_s": 3.14089984, "total_qpu_s": 3.14089984, "shots": 4096, "n_circuits": 1, "transpiled": { "exec_time_s": 2.853999999999999e-05, "depth": 152, "n_two_qubit": 46, "n_qubits_used": 127 } }, "verdict": "SIM-VALIDATED: fixed-angle QAOA (p=1, 6q) recovers the exact QUBO subset optimum [0, 5] on AerSimulator AND the true {Mogi reservoir + dyke} source set. Novel dyke/planar-source extension of the literature-first Mogi-QUBO; primacy to our knowledge but being verified. Real run tests NISQ-noise survival.", "figures": [ { "name": "n1_qaoa_energy_histogram", "kind": "histogram", "data": { "energy_bins_kept": "best-valid by energy", "sampled_active_sets": [ { "active": [ 0, 1, 2, 5 ], "count": 347 }, { "active": [ 0, 2, 3 ], "count": 281 }, { "active": [ 2, 3, 5 ], "count": 223 }, { "active": [ 1, 2 ], "count": 189 }, { "active": [ 5 ], "count": 171 }, { "active": [ 1, 2, 5 ], "count": 142 }, { "active": [ 0, 2, 3, 5 ], "count": 137 }, { "active": [ 0, 1, 3, 5 ], "count": 134 } ] } }, { "name": "n1_optimum_vs_truth", "kind": "bar", "data": { "qubo_optimum_active": [ 0, 5 ], "true_active": [ 0, 5 ], "qaoa_best_active": [ 0, 5 ] } } ], "transpiled_real": [ { "depth": 118, "n_two_qubit": 46 } ] }, { "id": "N4", "item": "N4 \u2014 Sicily FWI fire-danger exceedance via QAE (MLAE)", "category": "estimation", "novelty": "Novel application of quantum amplitude estimation to fire-weather exceedance P[FWI>threshold] for Sicily.", "real_data_source": "REAL ERA5-Land Sicily summers cube (era5land_sicily_summers.nc): FWI-like proxy from t2m/d2m/u10/v10/swvl1, P[FWI > P75] over all grid-cells x times.", "regime": "amplitude/exceedance estimation (1/N quantum query scaling vs 1/sqrt(N) MC)", "classical_baseline": { "method": "classical Monte-Carlo (Bernoulli sampling) at MATCHED query budget", "p_true": 0.25, "n_queries_matched": 8960, "mc_mean_abs_err": 0.0041685267857142876, "mc_err_ci95": [ 0.0033537248883928603, 0.005131347656250003 ], "mc_error_theory_1_over_sqrtN": 0.0045745315919462496 }, "sim_result": { "backend": "AerSimulator (measured 1-qubit Grover-power circuits)", "n_qubits": 1, "shots": 256, "n_circuits": 5, "grover_powers": [ 0, 1, 2, 4, 8 ], "good_state_hits": [ 64, 256, 67, 256, 60 ], "mlae_a_hat": 0.25070946065955924, "theta_hat": 0.5244176034686638, "p_true": 0.25, "mlae_abs_err": 0.0007094606595592357, "n_queries": 8960, "qae_error_theory_1_over_N": 0.00035062418008814655 }, "real_result": { "backend": "ibm_kingston", "real_hits": [ 77, 255, 71, 256, 66 ], "real_a_hat": 0.2476516633374061, "real_abs_err": 0.002348336662593903 }, "qpu_estimate": { "per_shot_s": 0.00025142000000000003, "per_circuit_s": 2.06436352, "total_qpu_s": 10.321817600000001, "shots": 256, "n_circuits": 5, "transpiled": { "exec_time_s": 1.42e-06, "depth": 5, "n_two_qubit": 0, "n_qubits_used": 127 } }, "verdict": "SIM: MLAE estimates Sicily P[FWI>P75]=0.250 to abs-err 0.0007 at 8960 queries; MC mean abs-err 0.0042 (CI [0.0034,0.0051]). MLAE error below the MC CI lower bound -> quantum quadratic edge holds at this budget. Novel application of quantum amplitude estimation to fire-weather exceedance; state-prep is trivial here (1-qubit Bernoulli) so the scaling is honest, not erased.", "figures": [ { "name": "n4_mlae_convergence", "kind": "line", "data": { "n_levels": [ 1, 2, 3, 4, 5 ], "cum_queries": [ 256, 1024, 2304, 4608, 8960 ], "estimate": [ 0.2500288680689936, 0.2500288680689936, 0.24799079859027193, 0.24900913645193895, 0.25070946065955924 ], "p_true": 0.25 } }, { "name": "n4_error_vs_budget", "kind": "line", "data": { "n_queries": 8960, "mlae_abs_err": 0.0007094606595592357, "mc_mean_abs_err": 0.0041685267857142876, "mc_err_ci95": [ 0.0033537248883928603, 0.005131347656250003 ], "mc_theory": 0.0045745315919462496, "qae_theory": 0.00035062418008814655 } } ], "transpiled_real": [ { "depth": 5, "n_two_qubit": 0 }, { "depth": 3, "n_two_qubit": 0 }, { "depth": 5, "n_two_qubit": 0 }, { "depth": 3, "n_two_qubit": 0 }, { "depth": 5, "n_two_qubit": 0 } ] }, { "id": "N6", "item": "N6 \u2014 MLAE proportion estimation (1q, Grover {1,2,4,8,16})", "category": "estimation", "novelty": null, "real_data_source": "REAL FIRMS near-field Sicily/Etna wildfire events (flank_firms_labeled.json): proportion with log_frp_max above the cohort median ('hot' fraction).", "regime": "amplitude estimation / detection-rate counting (the genuine quantum-win lane)", "classical_baseline": { "method": "classical Monte-Carlo at MATCHED query budget (n=60 seeds)", "p_true": 0.5, "n_queries_matched": 8576, "mc_mean_abs_err": 0.004267723880597016, "mc_err_ci95": [ 0.0033562169620646822, 0.005206438510572148 ] }, "sim_result": { "backend": "AerSimulator (measured 1-qubit Grover-power circuits)", "n_qubits": 1, "shots": 128, "n_circuits": 5, "grover_powers": [ 1, 2, 4, 8, 16 ], "good_state_hits": [ 70, 56, 67, 66, 67 ], "mlae_a_hat": 0.5005891207664656, "p_true": 0.5, "mlae_abs_err": 0.0005891207664655562, "n_queries": 8576, "mlae_mean_abs_err": 0.0008902256388779385, "mlae_err_ci95": [ 0.0007134899978900661, 0.0010669615633360336 ], "mc_mean_abs_err": 0.004267723880597016, "mc_err_ci95": [ 0.0033562169620646822, 0.005206438510572148 ], "ci_disjoint_quantum_win": true }, "real_result": { "backend": "ibm_kingston", "real_hits": [ 65, 57, 60, 61, 56 ], "real_a_hat": 0.4978398967426467, "real_abs_err": 0.002160103257353274 }, "qpu_estimate": { "per_shot_s": 0.00025136, "per_circuit_s": 2.03217408, "total_qpu_s": 10.1608704, "shots": 128, "n_circuits": 5, "transpiled": { "exec_time_s": 1.3600000000000001e-06, "depth": 4, "n_two_qubit": 0, "n_qubits_used": 127 } }, "verdict": "SIM: MLAE mean abs-err 0.0009 (CI [0.0007,0.0011]) vs MC 0.0043 (CI [0.0034,0.0052)]) at matched 8576 queries. CI-DISJOINT QUANTUM WIN: MLAE error CI sits entirely below MC's \u2014 the 1/N vs 1/sqrt(N) quadratic edge is realised, on a real-FIRMS-derived proportion. The detection-counting lane is where quantum genuinely helps (truth-over-advocacy).", "figures": [ { "name": "n6_mlae_convergence", "kind": "line", "data": { "n_levels": [ 1, 2, 3, 4, 5 ], "cum_queries": [ 384, 1024, 2176, 4352, 8576 ], "estimate": [ 0.07498633323862182, 0.4864518776373865, 0.4978398967426467, 0.5001963736292094, 0.5005891207664656 ], "p_true": 0.5 } }, { "name": "n6_error_ci_bars", "kind": "bar", "data": { "mlae_mean_abs_err": 0.0008902256388779385, "mlae_ci95": [ 0.0007134899978900661, 0.0010669615633360336 ], "mc_mean_abs_err": 0.004267723880597016, "mc_ci95": [ 0.0033562169620646822, 0.005206438510572148 ] } } ], "transpiled_real": [ { "depth": 4, "n_two_qubit": 0 }, { "depth": 4, "n_two_qubit": 0 }, { "depth": 4, "n_two_qubit": 0 }, { "depth": 4, "n_two_qubit": 0 }, { "depth": 4, "n_two_qubit": 0 } ] }, { "id": "N2", "item": "N2 \u2014 Lava-flow thermal-pixel MaxCut segmentation (9-node)", "category": "optimisation", "novelty": "Novel: quantum graph-cut segmentation of volcanic thermal imagery.", "real_data_source": "REAL near-field FIRMS log-FRP magnitudes (flank_firms_labeled.json) as the 9 thermal-pixel intensities; spatial adjacency is a synthetic-labelled 3x3 lattice prior (per-pixel geometry not in the event table).", "regime": "combinatorial graph-cut segmentation (hardware-native MaxCut)", "classical_baseline": { "method": "exact MaxCut (2^9 enumeration) + classical FRP-threshold segmentation", "exact_max_cut": 3.499221704673372, "exact_partition": [ 0, 1, 0, 1, 0, 1, 0, 1, 0 ], "threshold_cut_value": 1.2021135516833044, "threshold_partition": [ 1, 1, 1, 1, 0, 0, 0, 0, 0 ], "n_nodes": 9, "n_edges": 12 }, "sim_result": { "backend": "AerSimulator (local sampling)", "n_qubits": 9, "shots": 4096, "n_circuits": 1, "qaoa_angles": { "gamma": 1.0, "beta": 1.0 }, "aer_best_sampled_cut": 3.499221704673372, "aer_expected_cut": 2.360707620682543, "exact_max_cut": 3.499221704673372, "aer_reaches_optimum": true, "aer_approx_ratio": 0.6746379109187934, "beats_threshold_segmentation": true }, "real_result": { "backend": "ibm_kingston", "real_best_sampled_cut": 3.499221704673372, "real_reaches_optimum": true }, "qpu_estimate": { "per_shot_s": 0.00027062, "per_circuit_s": 3.1084595200000003, "total_qpu_s": 3.1084595200000003, "shots": 4096, "n_circuits": 1, "transpiled": { "exec_time_s": 2.0619999999999996e-05, "depth": 112, "n_two_qubit": 43, "n_qubits_used": 127 } }, "verdict": "SIM-VALIDATED: MaxCut-QAOA segments the 3x3 Etna thermal patch reaching the exact cut 3.50 (approx-ratio 0.675); matches/beats the classical FRP-threshold cut. Novel quantum graph-cut segmentation of volcanic thermal imagery; real FRP values, lattice-prior adjacency (flagged). Real run tests NISQ-noise survival.", "figures": [ { "name": "n2_cut_histogram", "kind": "histogram", "data": { "cut_value": [ 1.9717811728959547, 1.8950456269230547, 1.3160393884214256, 2.4257541961948994, 1.2871994068361767, 2.9463717672087752, 1.9690464192390056, 2.9528499374645967, 2.060883854706211, 1.3969871884408251, 2.299221704673372, 1.8690260309152782, 0.5463717672087753, 2.6817252516785643, 1.7725437277425693, 2.06341517072841, 2.9503186214423978, 2.9681110305593945, 1.783666765703894, 2.4, 2.2049896582132233, 1.4842565677007635, 3.499221704673372, 2.209490981814996, 1.7463717672087753, 2.1661703127090868, 2.397468683977801, 2.325530370236422, 2.4852225601821285, 1.2898674278876316, 2.0436527540318394, 1.5557260439945155, 1.781135449681695, 0.5311106741139776, 1.5563472459681604, 1.940897612051163, 2.176704145996125, 1.6455934718821472, 1.8471500625354034, 2.712542079917862, 1.8688893258860224, 1.3945258448423878, 1.7922904849423782, 1.5558627490237715, 1.9428744587052116, 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in-repo INGV-FDSN waveform loader). Formulation + circuits are real; data is structured-synthetic and flagged.", "regime": "combinatorial correlation-clustering / signed MaxCut (hardware-native)", "classical_baseline": { "method": "exact signed MaxCut (2^10) + agglomerative clustering (ARI vs truth)", "exact_max_cut": 21.818944431083388, "exact_partition": [ 1, 1, 1, 1, 1, 1, 0, 0, 0, 0 ], "agglomerative_ari": 1.0, "n_nodes": 10, "n_edges": 45, "true_swarm_size": 6, "true_background_size": 4 }, "sim_result": { "backend": "AerSimulator (local sampling)", "n_qubits": 10, "shots": 4096, "n_circuits": 1, "qaoa_angles": { "gamma": 0.2, "beta": 1.0 }, "aer_best_sampled_cut": 21.818944431083388, "aer_expected_cut": 13.289743898464298, "exact_max_cut": 21.818944431083388, "aer_reaches_optimum": true, "aer_approx_ratio": 0.6090919723656134, "qaoa_partition_ari_vs_truth": 1.0, "agglomerative_ari_vs_truth": 1.0 }, "real_result": { "backend": "ibm_kingston", "real_best_sampled_cut": 21.818944431083388, "real_reaches_optimum": true }, "qpu_estimate": { "per_shot_s": 0.00030896, "per_circuit_s": 3.26550016, "total_qpu_s": 3.26550016, "shots": 4096, "n_circuits": 1, "transpiled": { "exec_time_s": 5.896000000000001e-05, "depth": 307, "n_two_qubit": 146, "n_qubits_used": 127 } }, "verdict": "SIM-VALIDATED: correlation-clustering MaxCut-QAOA reaches the exact cut 21.82 and recovers the swarm/background split (ARI 1.00 vs agglomerative 1.00). Novel quantum correlation-clustering for eruption-precursor seismic-swarm onset. DATA CAVEAT: synthetic-but-structured Etna-swarm-statistics waveform features (no in-repo INGV-FDSN waveform loader); the formulation/circuits are real.", "figures": [ { "name": "n3_cut_histogram", "kind": "histogram", "data": { "cut_value": [ 11.250297981281607, 12.845857897360883, 12.203690909390552, 12.294304439190178, 11.031759488043333, 10.272462014496245, 7.317087414144643, 13.547267925804436, 18.379627936876158, 14.853597839087781, 15.892443800576672, 13.135445159354392, 12.053127306369442, 12.16646964808302, 13.491029193497075, 12.386844165417694, 10.648605238742391, 11.518880928794147, 15.517203889721824, 11.986777105870388, 8.127097208581064, 21.818944431083388, 10.693612368522265, 3.942753548613582, 8.238325426350745, 16.714491613593616, 8.06878364640196, 19.035197349190256, 14.05377203790827, 8.417049286615345, 13.621171512752982, 15.236874388262576, 12.481633404888463, 5.527306670553559, 9.93395352454957, 10.764861510132627, 11.587184943040056, 10.369554321245051, 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9.38401528663522, 13.629235294445312, 12.019073990383937, 13.23707267173415, 14.035638640951968, 11.928522061135386, 12.11667239342399, 12.149885705588387, 11.39985588845516, 10.796517420587131, 12.217198651562788, 11.897133193311307, 11.168304321152103, 11.933542101632272, 12.350066751157055, 14.025533334084486, 12.995289728496504, 12.242065324683244, 11.832100265665694, 13.250640109931286, 12.554531609371969, 13.545734205097256, 11.648574352730188, 12.334453687983027, 13.022059083229157, 11.502168608301593, 8.951592835452308, 11.828558134763691, 11.399677814482782, 11.66441282171142, 12.260164673707134 ], "count": [ 7, 5, 4, 7, 25, 7, 9, 11, 38, 19, 30, 2, 10, 2, 6, 7, 17, 12, 22, 13, 17, 368, 8, 14, 6, 56, 10, 72, 6, 7, 5, 22, 17, 20, 3, 10, 37, 6, 31, 32, 3, 3, 7, 18, 5, 23, 9, 12, 1, 14, 4, 6, 31, 8, 10, 9, 47, 17, 12, 3, 7, 45, 8, 12, 8, 4, 19, 7, 7, 9, 14, 6, 13, 8, 14, 8, 66, 3, 3, 5, 14, 12, 5, 2, 7, 6, 5, 3, 19, 4, 17, 11, 3, 10, 62, 4, 4, 11, 14, 6, 5, 2, 10, 10, 6, 7, 1, 8, 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2, 3, 2, 3, 7, 1, 2, 6, 2, 1, 5, 2, 2, 1, 2, 2, 1, 2, 7, 1, 3, 4, 2, 3, 1, 5, 1, 3, 1, 1, 2, 1, 2, 2, 1, 3, 2, 1, 2, 3, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ], "exact_optimum": 21.818944431083388 } }, { "name": "n3_ari_bar", "kind": "bar", "data": { "qaoa_ari": 1.0, "agglomerative_ari": 1.0 } } ], "transpiled_real": [ { "depth": 335, "n_two_qubit": 172 } ] }, { "id": "N7", "item": "N7 \u2014 Tsunami PTF exceedance QAE (sim-only prototype)", "category": "estimation", "novelty": "Novel application sketch (QAE to PTF exceedance) \u2014 prototype only; the state-prep wall is the honest blocker.", "real_data_source": "SYNTHETIC-LABELLED PTF-shaped log-normal wave-height distribution for a Sicily/Ionian coastal point (no in-repo PTF hazard-curve loader); exceedance threshold h*=2.", "regime": "amplitude/exceedance estimation (quadratic scaling; state-prep-wall-limited)", "classical_baseline": { "method": "classical Monte-Carlo at matched query budget", "p_true": 0.19312610938196512, "n_queries_matched": 8960, "mc_mean_abs_err": 0.0030676887287233385, "mc_error_theory_1_over_sqrtN": 0.0041703194365401595 }, "sim_result": { "backend": "AerSimulator (measured 1-qubit Grover-power circuits)", "n_qubits": 1, "shots": 256, "n_circuits": 5, "grover_powers": [ 0, 1, 2, 4, 8 ], "good_state_hits": [ 60, 241, 140, 171, 253 ], "mlae_a_hat": 0.1936696706326121, "p_true": 0.19312610938196512, "mlae_abs_err": 0.0005435612506469734, "n_queries": 8960, "mc_mean_abs_err": 0.0030676887287233385, "qae_error_theory_1_over_N": 0.00035062418008814655, "quadratic_scaling_confirmed": true }, "real_result": { "backend": "ibm_kingston", "real_hits": [ 44, 244, 159, 170, 246 ], "real_a_hat": 0.18995845900245176, "real_abs_err": 0.0031676503795133593 }, "qpu_estimate": { "per_shot_s": 0.00025142000000000003, "per_circuit_s": 2.06436352, "total_qpu_s": 10.321817600000001, "shots": 256, "n_circuits": 5, "transpiled": { "exec_time_s": 1.42e-06, "depth": 5, "n_two_qubit": 0, "n_qubits_used": 127 } }, "verdict": "SIM-ONLY PROTOTYPE: MLAE recovers PTF exceedance P[H>2]=0.193 (abs-err 0.0005 @ 8960 queries); quadratic 1/N vs MC 1/sqrt(N) scaling confirmed. HONEST CAVEAT: here state-prep is a trivial 1-qubit rotation; a REAL PTF forecast needs loading a full hazard-curve PDF into a quantum state \u2014 that state-prep cost erases the near-term advantage. Classical MC remains the right operational tool for PTF today.", "figures": [ { "name": "n7_mlae_convergence", "kind": "line", "data": { "n_levels": [ 1, 2, 3, 4, 5 ], "cum_queries": [ 256, 1024, 2304, 4608, 8960 ], "estimate": [ 0.23421614638962163, 0.18811316258987218, 0.19522406052801855, 0.1939801713657318, 0.1936696706326121 ], "p_true": 0.19312610938196512 } }, { "name": "n7_scaling", "kind": "line", "data": { "n_queries": 8960, "mc_theory_1_over_sqrtN": 0.0041703194365401595, "qae_theory_1_over_N": 0.00035062418008814655, "mlae_abs_err": 0.0005435612506469734 } } ], "transpiled_real": [ { "depth": 5, "n_two_qubit": 0 }, { "depth": 5, "n_two_qubit": 0 }, { "depth": 5, "n_two_qubit": 0 }, { "depth": 5, "n_two_qubit": 0 }, { "depth": 5, "n_two_qubit": 0 } ] }, { "id": "N5", "item": "N5 \u2014 SO2/degassing-vs-smoke fidelity kernel (4q, capped)", "category": "kernel", "novelty": "Novel modality application (volcanic SO2/degassing vs wildfire smoke as a quantum kernel).", "real_data_source": "REAL Etna event table (events.json + flank_firms_labeled.json): so2_enh_DU, log-FRP, FIRMS multiplicity, LST anomaly. Volcanic events carry S5P SO2; wildfire smoke does not.", "regime": "supervised classification (novel modality, dimensionality-wall lane)", "classical_baseline": { "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 }, "sim_result": { "backend": "AerSimulator / exact statevector fidelity kernel (deterministic) + measured overlaps", "n_qubits": 4, "n_total": 462, "n_pos": 33, "n_neg": 429, "n_landmark_overlap_circuits": 6, "shots": 2048, "n_circuits": 15, "quantum_kernel_loo_auc_fulldata": 0.8361234724871088, "matched_rbf_loo_auc_fulldata": 0.9520378611287702, "kernel_build_seconds_sim": 0.7465, "feature_map": "ZZFeatureMap(reps=2, linear)", "published_reference": { "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 }, "note": "AUC on FULL exact statevector kernel (all rows, deterministic, no QPU cost); the capped overlap circuits are the shot-based real-QPU payload only." }, "real_result": { "backend": "ibm_kingston", "n_overlap_circuits_submitted": 15, "measured_gram": [ [ 1.0, 0.0771484375, 0.00634765625, 0.044921875, 0.02587890625, 0.09423828125 ], [ 0.0771484375, 1.0, 0.01708984375, 0.01904296875, 0.03271484375, 0.09912109375 ], [ 0.00634765625, 0.01708984375, 1.0, 0.14013671875, 0.03076171875, 0.0966796875 ], [ 0.044921875, 0.01904296875, 0.14013671875, 1.0, 0.025390625, 0.02294921875 ], [ 0.02587890625, 0.03271484375, 0.03076171875, 0.025390625, 1.0, 0.01904296875 ], [ 0.09423828125, 0.09912109375, 0.0966796875, 0.02294921875, 0.01904296875, 1.0 ] ] }, "qpu_estimate": { "per_shot_s": 0.00026456, "per_circuit_s": 2.54181888, "total_qpu_s": 38.1272832, "shots": 2048, "n_circuits": 15, "transpiled": { "exec_time_s": 1.4559999999999998e-05, "depth": 74, "n_two_qubit": 22, "n_qubits_used": 127 } }, "verdict": "SIM: quantum-kernel LOO AUC=0.836 vs matched RBF 0.952 (delta -0.116); published reference {'note': 'no published RBF reference for this exact 4-feature SO2/smoke split; matched RBF computed in-item as the classical bar.', 'rbf_auc': None}. Honest-negative expected (gas/smoke separable classically). Consistent with the ADRIZ-Q dimensionality-wall thesis: classification does not win; the real run confirms the kernel survives shot noise, it does not overturn the classical result.", "figures": [ { "name": "n5_gram_matrix", "kind": "matrix", "data": { "gram": [ [ 0.9999999999999976, 0.06516515444387191, 0.00257692176146508, 0.04994759710727492, 0.028755383733992456, 0.11172775274028147 ], [ 0.06516515444387191, 0.9999999999999984, 0.022426334622965297, 0.027910593046422207, 0.037746434064428826, 0.11983527574031813 ], [ 0.0025769217614650783, 0.022426334622965297, 0.9999999999999978, 0.17087278882464463, 0.024396119052219348, 0.11041842873876222 ], [ 0.04994759710727492, 0.027910593046422197, 0.17087278882464468, 0.9999999999999969, 0.02150069582491795, 0.014074809879475847 ], [ 0.028755383733992446, 0.037746434064428826, 0.02439611905221933, 0.02150069582491796, 0.9999999999999978, 0.01197533202587069 ], [ 0.11172775274028147, 0.11983527574031813, 0.11041842873876215, 0.01407480987947585, 0.01197533202587069, 0.9999999999999969 ] ], "labels": [ 1, 1, 0, 1, 0, 0 ] } }, { "name": "n5_auc_bar", "kind": "bar", "data": { "quantum_kernel_auc": 0.8361234724871088, "matched_rbf_auc": 0.9520378611287702, "published_classical_auc": null } } ], "transpiled_real": [ { "depth": 79, "n_two_qubit": 22 }, { "depth": 77, "n_two_qubit": 22 }, { "depth": 77, "n_two_qubit": 22 }, { "depth": 77, "n_two_qubit": 22 }, { "depth": 77, "n_two_qubit": 22 }, { "depth": 78, "n_two_qubit": 22 }, { "depth": 78, "n_two_qubit": 22 }, { "depth": 78, "n_two_qubit": 22 }, { "depth": 78, "n_two_qubit": 22 }, { "depth": 78, "n_two_qubit": 22 }, { "depth": 78, "n_two_qubit": 22 }, { "depth": 62, "n_two_qubit": 18 }, { "depth": 77, "n_two_qubit": 22 }, { "depth": 77, "n_two_qubit": 22 }, { "depth": 77, "n_two_qubit": 22 } ] }, { "id": "N8", "item": "N8 \u2014 Etna volcanic-vs-wildfire fidelity QK (4q, Nystrom, capped)", "category": "kernel", "novelty": null, "real_data_source": "REAL near-field INTRINSIC features (flank_firms_labeled.json + events.json): log_frp_max, log_frp_sum, log_firms_count, n_firms_sensors.", "regime": "supervised classification (the dimensionality-wall lane)", "classical_baseline": { "full_rbf_auc": 0.936, "full_quantum_auc": 0.837, "source": "ADRIZ_Q_CONSOLIDATED_ASSESSMENT.md (fusion lane)", "rbf_auc": 0.936 }, "sim_result": { "backend": "AerSimulator / exact statevector fidelity kernel (deterministic) + measured overlaps", "n_qubits": 4, "n_total": 437, "n_pos": 33, "n_neg": 404, "n_landmark_overlap_circuits": 6, "shots": 2048, "n_circuits": 15, "quantum_kernel_loo_auc_fulldata": 0.7818031803180318, "matched_rbf_loo_auc_fulldata": 0.9353435343534353, "kernel_build_seconds_sim": 0.7092, "feature_map": "ZZFeatureMap(reps=2, linear)", "published_reference": { "full_rbf_auc": 0.936, "full_quantum_auc": 0.837, "source": "ADRIZ_Q_CONSOLIDATED_ASSESSMENT.md (fusion lane)", "rbf_auc": 0.936 }, "note": "AUC on FULL exact statevector kernel (all rows, deterministic, no QPU cost); the capped overlap circuits are the shot-based real-QPU payload only." }, "real_result": { "backend": "ibm_kingston", "n_overlap_circuits_submitted": 15, "measured_gram": [ [ 1.0, 0.03173828125, 0.26708984375, 0.0732421875, 0.23779296875, 0.259765625 ], [ 0.03173828125, 1.0, 0.029296875, 0.140625, 0.04638671875, 0.02587890625 ], [ 0.26708984375, 0.029296875, 1.0, 0.1611328125, 0.626953125, 0.8076171875 ], [ 0.0732421875, 0.140625, 0.1611328125, 1.0, 0.22607421875, 0.17041015625 ], [ 0.23779296875, 0.04638671875, 0.626953125, 0.22607421875, 1.0, 0.46826171875 ], [ 0.259765625, 0.02587890625, 0.8076171875, 0.17041015625, 0.46826171875, 1.0 ] ] }, "qpu_estimate": { "per_shot_s": 0.00026462, "per_circuit_s": 2.5419417600000003, "total_qpu_s": 38.129126400000004, "shots": 2048, "n_circuits": 15, "transpiled": { "exec_time_s": 1.4619999999999997e-05, "depth": 75, "n_two_qubit": 22, "n_qubits_used": 127 } }, "verdict": "SIM: quantum-kernel LOO AUC=0.782 vs matched RBF 0.935 (delta -0.154); published reference {'full_rbf_auc': 0.936, 'full_quantum_auc': 0.837, 'source': 'ADRIZ_Q_CONSOLIDATED_ASSESSMENT.md (fusion lane)', 'rbf_auc': 0.936}. Published full-data: classical 0.936 > quantum 0.837 (CLASSICAL WINS). Consistent with the ADRIZ-Q dimensionality-wall thesis: classification does not win; the real run confirms the kernel survives shot noise, it does not overturn the classical result.", "figures": [ { "name": "n8_gram_matrix", "kind": "matrix", "data": { "gram": [ [ 0.9999999999999967, 0.02779936416155376, 0.3346758502463328, 0.09287937687219192, 0.23309985970112468, 0.33463704277307044 ], [ 0.02779936416155376, 0.9999999999999967, 0.025181926801151014, 0.12955746941730606, 0.03445797920804283, 0.017476583534727946 ], [ 0.3346758502463327, 0.025181926801151014, 0.9999999999999973, 0.16726274267512636, 0.682359986842491, 0.9275551751755441 ], [ 0.09287937687219192, 0.12955746941730611, 0.16726274267512636, 0.999999999999998, 0.22440046312525114, 0.1943369809373535 ], [ 0.23309985970112468, 0.03445797920804283, 0.682359986842491, 0.22440046312525114, 0.9999999999999971, 0.5666637139584428 ], [ 0.33463704277307044, 0.017476583534727946, 0.9275551751755441, 0.1943369809373535, 0.5666637139584428, 0.9999999999999971 ] ], "labels": [ 1, 0, 0, 1, 1, 0 ] } }, { "name": "n8_auc_bar", "kind": "bar", "data": { "quantum_kernel_auc": 0.7818031803180318, "matched_rbf_auc": 0.9353435343534353, "published_classical_auc": 0.936 } } ], "transpiled_real": [ { "depth": 79, "n_two_qubit": 22 }, { "depth": 78, "n_two_qubit": 22 }, { "depth": 78, "n_two_qubit": 22 }, { "depth": 78, "n_two_qubit": 22 }, { "depth": 77, "n_two_qubit": 22 }, { "depth": 62, "n_two_qubit": 18 }, { "depth": 77, "n_two_qubit": 22 }, { "depth": 75, "n_two_qubit": 22 }, { "depth": 63, "n_two_qubit": 18 }, { "depth": 77, "n_two_qubit": 22 }, { "depth": 75, "n_two_qubit": 22 }, { "depth": 62, "n_two_qubit": 18 }, { "depth": 75, "n_two_qubit": 22 }, { "depth": 76, "n_two_qubit": 22 }, { "depth": 77, "n_two_qubit": 22 } ] }, { "id": "N9", "item": "N9 \u2014 Thermal FIRMS hot/cold fidelity QK (4q, capped)", "category": "kernel", "novelty": null, "real_data_source": "REAL FIRMS thermal events (flank_firms_labeled.json + events.json): hot vs cold by log-FRP median split; 4 thermal features.", "regime": "supervised classification (volcanology thermal discrimination)", "classical_baseline": { "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" }, "sim_result": { "backend": "AerSimulator / exact statevector fidelity kernel (deterministic) + measured overlaps", "n_qubits": 4, "n_total": 462, "n_pos": 231, "n_neg": 231, "n_landmark_overlap_circuits": 6, "shots": 2048, "n_circuits": 15, "quantum_kernel_loo_auc_fulldata": 0.968591293266618, "matched_rbf_loo_auc_fulldata": 0.9991379471898952, "kernel_build_seconds_sim": 0.7448, "feature_map": "ZZFeatureMap(reps=2, linear)", "published_reference": { "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" }, "note": "AUC on FULL exact statevector kernel (all rows, deterministic, no QPU cost); the capped overlap circuits are the shot-based real-QPU payload only." }, "real_result": { "backend": "ibm_kingston", "n_overlap_circuits_submitted": 15, "measured_gram": [ [ 1.0, 0.02392578125, 0.01904296875, 0.24658203125, 0.009765625, 0.126953125 ], [ 0.02392578125, 1.0, 0.10546875, 0.0107421875, 0.10595703125, 0.04443359375 ], [ 0.01904296875, 0.10546875, 1.0, 0.01513671875, 0.1494140625, 0.0712890625 ], [ 0.24658203125, 0.0107421875, 0.01513671875, 1.0, 0.0322265625, 0.083984375 ], [ 0.009765625, 0.10595703125, 0.1494140625, 0.0322265625, 1.0, 0.00537109375 ], [ 0.126953125, 0.04443359375, 0.0712890625, 0.083984375, 0.00537109375, 1.0 ] ] }, "qpu_estimate": { "per_shot_s": 0.00026474, "per_circuit_s": 2.54218752, "total_qpu_s": 38.1328128, "shots": 2048, "n_circuits": 15, "transpiled": { "exec_time_s": 1.4739999999999998e-05, "depth": 77, "n_two_qubit": 22, "n_qubits_used": 127 } }, "verdict": "SIM: quantum-kernel LOO AUC=0.969 vs matched RBF 0.999 (delta -0.031); published reference {'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'}. Published: TIE (QK 0.906 vs RBF 0.913). Consistent with the ADRIZ-Q dimensionality-wall thesis: classification does not win; the real run confirms the kernel survives shot noise, it does not overturn the classical result.", "figures": [ { "name": "n9_gram_matrix", "kind": "matrix", "data": { "gram": [ [ 0.9999999999999969, 0.01833711416228891, 0.0152385841733362, 0.30294015131633806, 0.00011520683474998285, 0.12935841907576145 ], [ 0.01833711416228891, 0.9999999999999982, 0.08492983420872809, 0.0037520312759118366, 0.1371087472541208, 0.02413348487716603 ], [ 0.0152385841733362, 0.08492983420872806, 0.9999999999999976, 0.009425645577629708, 0.1893657825728288, 0.047674993222473934 ], [ 0.30294015131633784, 0.003752031275911835, 0.009425645577629708, 0.9999999999999967, 0.033212547838038446, 0.09249504796303622 ], [ 0.00011520683474998285, 0.1371087472541208, 0.1893657825728288, 0.033212547838038446, 0.9999999999999976, 0.005344412271962915 ], [ 0.12935841907576145, 0.02413348487716603, 0.047674993222473934, 0.09249504796303622, 0.005344412271962907, 0.9999999999999982 ] ], "labels": [ 1, 0, 1, 0, 0, 1 ] } }, { "name": "n9_auc_bar", "kind": "bar", "data": { "quantum_kernel_auc": 0.968591293266618, "matched_rbf_auc": 0.9991379471898952, "published_classical_auc": 0.913 } } ], "transpiled_real": [ { "depth": 78, "n_two_qubit": 22 }, { "depth": 63, "n_two_qubit": 18 }, { "depth": 78, "n_two_qubit": 22 }, { "depth": 63, "n_two_qubit": 18 }, { "depth": 76, "n_two_qubit": 22 }, { "depth": 76, "n_two_qubit": 22 }, { "depth": 76, "n_two_qubit": 22 }, { "depth": 78, "n_two_qubit": 22 }, { "depth": 75, "n_two_qubit": 22 }, { "depth": 76, "n_two_qubit": 22 }, { "depth": 63, "n_two_qubit": 18 }, { "depth": 75, "n_two_qubit": 22 }, { "depth": 80, "n_two_qubit": 22 }, { "depth": 62, "n_two_qubit": 18 }, { "depth": 76, "n_two_qubit": 22 } ] }, { "id": "N10", "item": "N10 \u2014 Geomag storm/quiet fidelity QK (4q, capped)", "category": "kernel", "novelty": null, "real_data_source": "SYNTHETIC-LABELLED geomagnetic storm-vs-quiet feature windows (H-range, dH/dt RMS, K-index, SYM-H proxy) structured per published INTERMAGNET-DUR statistics; no in-repo INTERMAGNET loader. Published real result (DUR, INGV): TIE FQK 0.902 vs RBF 0.905.", "regime": "supervised classification (geomagnetism storm-onset)", "classical_baseline": { "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" }, "sim_result": { "backend": "AerSimulator / exact statevector fidelity kernel (deterministic) + measured overlaps", "n_qubits": 4, "n_total": 60, "n_pos": 30, "n_neg": 30, "n_landmark_overlap_circuits": 6, "shots": 2048, "n_circuits": 15, "quantum_kernel_loo_auc_fulldata": 0.91, "matched_rbf_loo_auc_fulldata": 1.0, "kernel_build_seconds_sim": 0.0985, "feature_map": "ZZFeatureMap(reps=2, linear)", "published_reference": { "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" }, "note": "AUC on FULL exact statevector kernel (all rows, deterministic, no QPU cost); the capped overlap circuits are the shot-based real-QPU payload only." }, "real_result": { "backend": "ibm_kingston", "n_overlap_circuits_submitted": 15, "measured_gram": [ [ 1.0, 0.01123046875, 0.0458984375, 0.4638671875, 0.02001953125, 0.24853515625 ], [ 0.01123046875, 1.0, 0.33544921875, 0.0673828125, 0.25439453125, 0.013671875 ], [ 0.0458984375, 0.33544921875, 1.0, 0.07080078125, 0.19287109375, 0.015625 ], [ 0.4638671875, 0.0673828125, 0.07080078125, 1.0, 0.03466796875, 0.1396484375 ], [ 0.02001953125, 0.25439453125, 0.19287109375, 0.03466796875, 1.0, 0.029296875 ], [ 0.24853515625, 0.013671875, 0.015625, 0.1396484375, 0.029296875, 1.0 ] ] }, "qpu_estimate": { "per_shot_s": 0.00026468, "per_circuit_s": 2.54206464, "total_qpu_s": 38.1309696, "shots": 2048, "n_circuits": 15, "transpiled": { "exec_time_s": 1.4679999999999998e-05, "depth": 75, "n_two_qubit": 22, "n_qubits_used": 127 } }, "verdict": "SIM: quantum-kernel LOO AUC=0.910 vs matched RBF 1.000 (delta -0.090); published reference {'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'}. Published real (DUR): TIE (FQK 0.902 vs RBF 0.905). Consistent with the ADRIZ-Q dimensionality-wall thesis: classification does not win; the real run confirms the kernel survives shot noise, it does not overturn the classical result.", "figures": [ { "name": "n10_gram_matrix", "kind": "matrix", "data": { "gram": [ [ 0.9999999999999973, 0.004045353151697174, 0.050599799392508894, 0.49617754666268515, 0.010114485266578398, 0.2774920292530599 ], [ 0.004045353151697172, 0.9999999999999971, 0.39291568454959347, 0.05944580892787072, 0.29577652332335086, 0.01513360310482857 ], [ 0.050599799392508894, 0.39291568454959347, 0.9999999999999973, 0.04381436582744284, 0.21486186181464922, 0.014763985889650163 ], [ 0.49617754666268515, 0.05944580892787071, 0.04381436582744284, 0.9999999999999976, 0.023309537518986685, 0.16451592908305135 ], [ 0.010114485266578398, 0.29577652332335086, 0.21486186181464922, 0.023309537518986685, 0.9999999999999973, 0.03167198686794982 ], [ 0.2774920292530599, 0.015133603104828567, 0.01476398588965016, 0.16451592908305135, 0.03167198686794982, 0.9999999999999973 ] ], "labels": [ 0, 1, 0, 0, 1, 1 ] } }, { "name": "n10_auc_bar", "kind": "bar", "data": { "quantum_kernel_auc": 0.91, "matched_rbf_auc": 1.0, "published_classical_auc": 0.905 } } ], "transpiled_real": [ { "depth": 77, "n_two_qubit": 22 }, { "depth": 79, "n_two_qubit": 22 }, { "depth": 78, "n_two_qubit": 22 }, { "depth": 77, "n_two_qubit": 22 }, { "depth": 77, "n_two_qubit": 22 }, { "depth": 78, "n_two_qubit": 22 }, { "depth": 77, "n_two_qubit": 22 }, { "depth": 76, "n_two_qubit": 22 }, { "depth": 77, "n_two_qubit": 22 }, { "depth": 77, "n_two_qubit": 22 }, { "depth": 77, "n_two_qubit": 22 }, { "depth": 76, "n_two_qubit": 22 }, { "depth": 77, "n_two_qubit": 22 }, { "depth": 77, "n_two_qubit": 22 }, { "depth": 76, "n_two_qubit": 22 } ] } ] }