{ "protocol_sha256": "e96a631fba939c9c4ff0159970af0dedf250ae47e0a257e788952facc19302fe", "identity_audit": { "tested_dimensions": [ 1, 2, 4, 6, 8 ], "max_absolute_errors": { "state_overlap": 1.5543122344752192e-15, "explicit_classical_features": 1.887379141862766e-15, "shared_terminal_unitary": 1.7763568394002505e-15, "density_depolarization": 8.881784197001252e-16, "matched_regularization_predictions": 1.3722356584366935e-13 }, "tolerance": 1e-10, "passed": true }, "classification": { "linear": { "linear": { "mean": 0.8990547506759446, "pointwise_95_percent_bootstrap_ci": [ 0.8905778919494346, 0.9080410457070308 ] }, "rbf": { "mean": 0.8915385238696076, "pointwise_95_percent_bootstrap_ci": [ 0.8808848859401918, 0.9017696004743362 ] }, "product": { "mean": 0.894664148738211, "pointwise_95_percent_bootstrap_ci": [ 0.8845207440158689, 0.9027463739375565 ] }, "paired_product_minus_rbf": { "mean": 0.003125624868603368, "pointwise_95_percent_bootstrap_ci": [ -0.0018605010807794804, 0.008131033044835976 ] } }, "parity": { "linear": { "mean": 0.5028841874243367, "pointwise_95_percent_bootstrap_ci": [ 0.49080839380402325, 0.519132485287299 ] }, "rbf": { "mean": 0.8203626608192057, "pointwise_95_percent_bootstrap_ci": [ 0.8034552187602456, 0.8341240758295138 ] }, "product": { "mean": 0.822049461514475, "pointwise_95_percent_bootstrap_ci": [ 0.8126506544004204, 0.8314817390676141 ] }, "paired_product_minus_rbf": { "mean": 0.0016868006952691602, "pointwise_95_percent_bootstrap_ci": [ -0.010633324172694792, 0.015101091355045044 ] } }, "periodic": { "linear": { "mean": 0.4985395120653596, "pointwise_95_percent_bootstrap_ci": [ 0.48605662481431083, 0.511621684499136 ] }, "rbf": { "mean": 0.7488281954140097, "pointwise_95_percent_bootstrap_ci": [ 0.7345789112454911, 0.7623602798417655 ] }, "product": { "mean": 0.7763930847833862, "pointwise_95_percent_bootstrap_ci": [ 0.7594338297594408, 0.7928698152772927 ] }, "paired_product_minus_rbf": { "mean": 0.027564889369376365, "pointwise_95_percent_bootstrap_ci": [ 0.013405835960971902, 0.04203532549312493 ] } } }, "finite_shot": [ { "p": 0, "shots": 128, "mean": 0.7421184311986793, "pointwise_95_percent_bootstrap_ci": [ 0.7301282505456886, 0.7532273161205679 ] }, { "p": 0, "shots": 512, "mean": 0.7786768127491859, "pointwise_95_percent_bootstrap_ci": [ 0.7693467864122973, 0.7880595745949988 ] }, { "p": 0, "shots": 2048, "mean": 0.7933635911406733, "pointwise_95_percent_bootstrap_ci": [ 0.7819439386598241, 0.8047489585994149 ] }, { "p": 0, "shots": 8192, "mean": 0.7966825902757054, "pointwise_95_percent_bootstrap_ci": [ 0.785557644566881, 0.8078337606133397 ] }, { "p": 0.5, "shots": 128, "mean": 0.5979244230828672, "pointwise_95_percent_bootstrap_ci": [ 0.587549767394819, 0.6090187123148318 ] }, { "p": 0.5, "shots": 512, "mean": 0.6787137092666977, "pointwise_95_percent_bootstrap_ci": [ 0.6686411049014853, 0.6892424197358125 ] }, { "p": 0.5, "shots": 2048, "mean": 0.7434465305258456, "pointwise_95_percent_bootstrap_ci": [ 0.7325316608179067, 0.7537586653898614 ] }, { "p": 0.5, "shots": 8192, "mean": 0.7715403512151265, "pointwise_95_percent_bootstrap_ci": [ 0.7602132668326237, 0.7830647138901051 ] }, { "p": 0.75, "shots": 128, "mean": 0.5154667269959292, "pointwise_95_percent_bootstrap_ci": [ 0.503913330538118, 0.527168812563535 ] }, { "p": 0.75, "shots": 512, "mean": 0.5482200122659916, "pointwise_95_percent_bootstrap_ci": [ 0.5393337922100797, 0.5574780950359814 ] }, { "p": 0.75, "shots": 2048, "mean": 0.5972580764837044, "pointwise_95_percent_bootstrap_ci": [ 0.5866191680169636, 0.6077339829870697 ] }, { "p": 0.75, "shots": 8192, "mean": 0.670901263655826, "pointwise_95_percent_bootstrap_ci": [ 0.658262633433527, 0.6828841769463315 ] } ], "replicates": 30, "quantum_hardware": false, "interpretation": "Any product-kernel performance is shared by its exact classical equivalent; no quantum advantage claim", "scope": "independent adapted implementation; not a reproduction of original seed-level archive", "intervals": "pointwise percentile bootstrap over independent simulator replicates; 2000 resamples; no significance testing" }