case_id stringlengths 11 16 | suite stringclasses 4
values | kind stringclasses 22
values | case_name stringlengths 9 54 | passed bool 1
class | tolerance float64 0 0 | source_report stringclasses 4
values | details_json stringlengths 113 1.07k |
|---|---|---|---|---|---|---|---|
rigidity-001 | rigidity | random_projection_rigidity | central_4 | true | 0 | results/recorded/verification_results.json | {"bound":2.3862901399452014,"defect_sum":4.772580279890403,"distance_squared":1.5852855757376076,"identity_error":5.329070518200751e-15,"kind":"random_projection_rigidity","largest_covariance_eigenvalue":1.3333333333333335,"nearest_formula_error":6.661338147750939e-16,"off_complement_mass":4.476983890285696,"repetition... |
rigidity-002 | rigidity | random_projection_rigidity | central_4 | true | 0 | results/recorded/verification_results.json | {"bound":2.701432168150607,"defect_sum":5.402864336301214,"distance_squared":1.898590267902197,"identity_error":3.552713678800501e-15,"kind":"random_projection_rigidity","largest_covariance_eigenvalue":1.3333333333333335,"nearest_formula_error":0.0,"off_complement_mass":5.016394354612732,"repetition":1,"residual_sum":4... |
rigidity-003 | rigidity | random_projection_rigidity | central_4 | true | 0 | results/recorded/verification_results.json | {"bound":2.858977942349093,"defect_sum":5.717955884698186,"distance_squared":1.6320574255876525,"identity_error":1.7763568394002505e-15,"kind":"random_projection_rigidity","largest_covariance_eigenvalue":1.3333333333333335,"nearest_formula_error":2.220446049250313e-16,"off_complement_mass":4.4575773738022,"repetition":... |
rigidity-004 | rigidity | random_projection_rigidity | central_6 | true | 0 | results/recorded/verification_results.json | {"bound":15.23576465891236,"defect_sum":30.47152931782472,"distance_squared":8.146660127578116,"identity_error":7.105427357601002e-15,"kind":"random_projection_rigidity","largest_covariance_eigenvalue":1.2000000000000013,"nearest_formula_error":1.7763568394002505e-15,"off_complement_mass":19.13472386689478,"repetition"... |
rigidity-005 | rigidity | random_projection_rigidity | central_6 | true | 0 | results/recorded/verification_results.json | {"bound":15.318467774973865,"defect_sum":30.63693554994773,"distance_squared":8.16798973004714,"identity_error":1.4210854715202004e-14,"kind":"random_projection_rigidity","largest_covariance_eigenvalue":1.2000000000000013,"nearest_formula_error":1.7763568394002505e-15,"off_complement_mass":19.165418436054885,"repetitio... |
rigidity-006 | rigidity | random_projection_rigidity | central_6 | true | 0 | results/recorded/verification_results.json | {"bound":15.41868180104753,"defect_sum":30.83736360209506,"distance_squared":8.330938857095319,"identity_error":1.4210854715202004e-14,"kind":"random_projection_rigidity","largest_covariance_eigenvalue":1.2000000000000013,"nearest_formula_error":3.552713678800501e-15,"off_complement_mass":19.30037369629614,"repetition"... |
rigidity-007 | rigidity | random_projection_rigidity | central_8 | true | 0 | results/recorded/verification_results.json | {"bound":70.41357169203964,"defect_sum":140.82714338407928,"distance_squared":31.288155378439058,"identity_error":5.684341886080802e-14,"kind":"random_projection_rigidity","largest_covariance_eigenvalue":1.1428571428571441,"nearest_formula_error":1.0658141036401503e-14,"off_complement_mass":69.02296477168558,"repetitio... |
rigidity-008 | rigidity | random_projection_rigidity | central_8 | true | 0 | results/recorded/verification_results.json | {"bound":70.28446490784879,"defect_sum":140.56892981569757,"distance_squared":31.55579621829544,"identity_error":5.684341886080802e-14,"kind":"random_projection_rigidity","largest_covariance_eigenvalue":1.1428571428571441,"nearest_formula_error":7.105427357601002e-15,"off_complement_mass":69.08083010788728,"repetition"... |
rigidity-009 | rigidity | random_projection_rigidity | central_8 | true | 0 | results/recorded/verification_results.json | {"bound":69.30138822567395,"defect_sum":138.6027764513479,"distance_squared":30.639565175955365,"identity_error":5.684341886080802e-14,"kind":"random_projection_rigidity","largest_covariance_eigenvalue":1.1428571428571441,"nearest_formula_error":3.552713678800501e-15,"off_complement_mass":68.60841245535259,"repetition"... |
rigidity-010 | rigidity | random_projection_rigidity | even_parity_4 | true | 0 | results/recorded/verification_results.json | {"bound":3.7675006603529315,"defect_sum":7.535001320705863,"distance_squared":2.806037195856188,"identity_error":3.552713678800501e-15,"kind":"random_projection_rigidity","largest_covariance_eigenvalue":1.0,"nearest_formula_error":0.0,"off_complement_mass":7.115074264102671,"repetition":0,"residual_sum":60.280010565646... |
rigidity-011 | rigidity | random_projection_rigidity | even_parity_4 | true | 0 | results/recorded/verification_results.json | {"bound":3.19080183625427,"defect_sum":6.38160367250854,"distance_squared":2.223400032673778,"identity_error":7.105427357601002e-15,"kind":"random_projection_rigidity","largest_covariance_eigenvalue":1.0,"nearest_formula_error":4.440892098500626e-16,"off_complement_mass":6.203639296180321,"repetition":1,"residual_sum":... |
rigidity-012 | rigidity | random_projection_rigidity | even_parity_4 | true | 0 | results/recorded/verification_results.json | {"bound":3.849484718600291,"defect_sum":7.698969437200582,"distance_squared":2.839107134016127,"identity_error":8.881784197001252e-15,"kind":"random_projection_rigidity","largest_covariance_eigenvalue":1.0,"nearest_formula_error":4.440892098500626e-16,"off_complement_mass":7.306768228646982,"repetition":2,"residual_sum... |
rigidity-013 | rigidity | random_projection_rigidity | even_parity_6 | true | 0 | results/recorded/verification_results.json | {"bound":22.734161807311672,"defect_sum":45.468323614623344,"distance_squared":13.968150799784272,"identity_error":2.1316282072803006e-14,"kind":"random_projection_rigidity","largest_covariance_eigenvalue":1.0,"nearest_formula_error":0.0,"off_complement_mass":31.339964914062076,"repetition":0,"residual_sum":363.7465889... |
rigidity-014 | rigidity | random_projection_rigidity | even_parity_6 | true | 0 | results/recorded/verification_results.json | {"bound":23.194755525834804,"defect_sum":46.38951105166961,"distance_squared":12.753348851173955,"identity_error":1.4210854715202004e-14,"kind":"random_projection_rigidity","largest_covariance_eigenvalue":1.0,"nearest_formula_error":0.0,"off_complement_mass":30.52291432515799,"repetition":1,"residual_sum":371.116088413... |
rigidity-015 | rigidity | random_projection_rigidity | even_parity_6 | true | 0 | results/recorded/verification_results.json | {"bound":23.76071138459493,"defect_sum":47.52142276918986,"distance_squared":13.455691083135596,"identity_error":2.842170943040401e-14,"kind":"random_projection_rigidity","largest_covariance_eigenvalue":1.0,"nearest_formula_error":3.552713678800501e-15,"off_complement_mass":30.911582825620556,"repetition":2,"residual_s... |
rigidity-016 | rigidity | random_projection_rigidity | two_orbit_4_2 | true | 0 | results/recorded/verification_results.json | {"bound":1.6219653168181203,"defect_sum":3.2439306336362406,"distance_squared":1.0968241403182015,"identity_error":0.0,"kind":"random_projection_rigidity","largest_covariance_eigenvalue":2.0,"nearest_formula_error":0.0,"off_complement_mass":3.1374286085684133,"repetition":0,"residual_sum":25.951445069089925,"support":"... |
rigidity-017 | rigidity | random_projection_rigidity | two_orbit_4_2 | true | 0 | results/recorded/verification_results.json | {"bound":1.9213229797823645,"defect_sum":3.842645959564729,"distance_squared":1.273384472156573,"identity_error":3.552713678800501e-15,"kind":"random_projection_rigidity","largest_covariance_eigenvalue":2.0,"nearest_formula_error":0.0,"off_complement_mass":3.4064994637498547,"repetition":1,"residual_sum":30.74116767651... |
rigidity-018 | rigidity | random_projection_rigidity | two_orbit_4_2 | true | 0 | results/recorded/verification_results.json | {"bound":1.4880105499626115,"defect_sum":2.976021099925223,"distance_squared":0.9003099219911006,"identity_error":6.217248937900877e-15,"kind":"random_projection_rigidity","largest_covariance_eigenvalue":2.0,"nearest_formula_error":6.661338147750939e-16,"off_complement_mass":2.7879349642415896,"repetition":2,"residual_... |
rigidity-019 | rigidity | random_projection_rigidity | two_orbit_6_2 | true | 0 | results/recorded/verification_results.json | {"bound":2.301533801253954,"defect_sum":4.603067602507908,"distance_squared":1.142010025421166,"identity_error":3.552713678800501e-15,"kind":"random_projection_rigidity","largest_covariance_eigenvalue":3.999999999999999,"nearest_formula_error":4.440892098500626e-16,"off_complement_mass":3.26293484913774,"repetition":0,... |
rigidity-020 | rigidity | random_projection_rigidity | two_orbit_6_2 | true | 0 | results/recorded/verification_results.json | {"bound":2.3907319580521733,"defect_sum":4.781463916104347,"distance_squared":0.8218165645499773,"identity_error":7.105427357601002e-15,"kind":"random_projection_rigidity","largest_covariance_eigenvalue":3.999999999999999,"nearest_formula_error":8.881784197001252e-16,"off_complement_mass":2.5556887991697703,"repetition... |
rigidity-021 | rigidity | random_projection_rigidity | two_orbit_6_2 | true | 0 | results/recorded/verification_results.json | {"bound":2.7443673129845836,"defect_sum":5.488734625969167,"distance_squared":1.2184372581156055,"identity_error":1.7763568394002505e-15,"kind":"random_projection_rigidity","largest_covariance_eigenvalue":3.999999999999999,"nearest_formula_error":0.0,"off_complement_mass":3.1399886879527745,"repetition":2,"residual_sum... |
rigidity-022 | rigidity | random_projection_rigidity | two_orbit_6_3 | true | 0 | results/recorded/verification_results.json | {"bound":1.7552315960627871,"defect_sum":5.265694788188362,"distance_squared":1.296161968756612,"identity_error":8.881784197001252e-15,"kind":"random_projection_rigidity","largest_covariance_eigenvalue":2.9999999999999996,"nearest_formula_error":8.881784197001252e-16,"off_complement_mass":3.5044581318203485,"repetition... |
rigidity-023 | rigidity | random_projection_rigidity | two_orbit_6_3 | true | 0 | results/recorded/verification_results.json | {"bound":0.7986195649658145,"defect_sum":2.3958586948974436,"distance_squared":0.48889410514130216,"identity_error":8.881784197001252e-16,"kind":"random_projection_rigidity","largest_covariance_eigenvalue":2.9999999999999996,"nearest_formula_error":1.1102230246251565e-16,"off_complement_mass":1.5912498221710205,"repeti... |
rigidity-024 | rigidity | random_projection_rigidity | two_orbit_6_3 | true | 0 | results/recorded/verification_results.json | {"bound":1.1894659438342805,"defect_sum":3.5683978315028417,"distance_squared":0.7495265592988649,"identity_error":2.6645352591003757e-15,"kind":"random_projection_rigidity","largest_covariance_eigenvalue":2.9999999999999996,"nearest_formula_error":2.220446049250313e-16,"off_complement_mass":2.3769307388565,"repetition... |
rigidity-025 | rigidity | random_projection_rigidity | two_orbit_8_2 | true | 0 | results/recorded/verification_results.json | {"bound":3.7673697490319564,"defect_sum":7.534739498063913,"distance_squared":0.9291122952857397,"identity_error":5.329070518200751e-15,"kind":"random_projection_rigidity","largest_covariance_eigenvalue":5.999999999999999,"nearest_formula_error":3.3306690738754696e-16,"off_complement_mass":2.8530074471412705,"repetitio... |
rigidity-026 | rigidity | random_projection_rigidity | two_orbit_8_2 | true | 0 | results/recorded/verification_results.json | {"bound":3.232014086742863,"defect_sum":6.464028173485726,"distance_squared":0.9022541719107953,"identity_error":1.7763568394002505e-15,"kind":"random_projection_rigidity","largest_covariance_eigenvalue":5.999999999999999,"nearest_formula_error":4.440892098500626e-16,"off_complement_mass":2.7949004471290206,"repetition... |
rigidity-027 | rigidity | random_projection_rigidity | two_orbit_8_2 | true | 0 | results/recorded/verification_results.json | {"bound":1.2390889493823813,"defect_sum":2.4781778987647627,"distance_squared":0.6106650583708573,"identity_error":8.881784197001252e-16,"kind":"random_projection_rigidity","largest_covariance_eigenvalue":5.999999999999999,"nearest_formula_error":2.220446049250313e-16,"off_complement_mass":2.0635820054180574,"repetitio... |
rigidity-028 | rigidity | random_projection_rigidity | two_orbit_8_4 | true | 0 | results/recorded/verification_results.json | {"bound":1.8240327607105467,"defect_sum":7.296131042842187,"distance_squared":1.203634267263367,"identity_error":8.881784197001252e-16,"kind":"random_projection_rigidity","largest_covariance_eigenvalue":3.999999999999999,"nearest_formula_error":0.0,"off_complement_mass":3.3657657987741834,"repetition":0,"residual_sum":... |
rigidity-029 | rigidity | random_projection_rigidity | two_orbit_8_4 | true | 0 | results/recorded/verification_results.json | {"bound":2.1446394769137864,"defect_sum":8.578557907655146,"distance_squared":1.371247006503242,"identity_error":7.105427357601002e-15,"kind":"random_projection_rigidity","largest_covariance_eigenvalue":3.999999999999999,"nearest_formula_error":4.440892098500626e-16,"off_complement_mass":3.599547808919945,"repetition":... |
rigidity-030 | rigidity | random_projection_rigidity | two_orbit_8_4 | true | 0 | results/recorded/verification_results.json | {"bound":1.836196877117987,"defect_sum":7.344787508471948,"distance_squared":1.1867880398608601,"identity_error":0.0,"kind":"random_projection_rigidity","largest_covariance_eigenvalue":3.999999999999999,"nearest_formula_error":0.0,"off_complement_mass":3.292501088149211,"repetition":2,"residual_sum":58.758300067775586,... |
rigidity-031 | rigidity | random_projection_rigidity | paired_random_subset_6 | true | 0 | results/recorded/verification_results.json | {"bound":12.660485479005033,"defect_sum":25.320970958010065,"distance_squared":6.687520406600256,"identity_error":7.105427357601002e-15,"kind":"random_projection_rigidity","largest_covariance_eigenvalue":1.5000000000000009,"nearest_formula_error":8.881784197001252e-16,"off_complement_mass":15.490890193786766,"repetitio... |
rigidity-032 | rigidity | random_projection_rigidity | paired_random_subset_6 | true | 0 | results/recorded/verification_results.json | {"bound":11.561749363703115,"defect_sum":23.12349872740623,"distance_squared":6.262922406916063,"identity_error":1.0658141036401503e-14,"kind":"random_projection_rigidity","largest_covariance_eigenvalue":1.5000000000000009,"nearest_formula_error":1.7763568394002505e-15,"off_complement_mass":15.07513291592828,"repetitio... |
rigidity-033 | rigidity | random_projection_rigidity | paired_random_subset_6 | true | 0 | results/recorded/verification_results.json | {"bound":11.830037748322527,"defect_sum":23.660075496645053,"distance_squared":5.875834212100083,"identity_error":1.4210854715202004e-14,"kind":"random_projection_rigidity","largest_covariance_eigenvalue":1.5000000000000009,"nearest_formula_error":1.7763568394002505e-15,"off_complement_mass":14.703867002221337,"repetit... |
rigidity-034 | rigidity | sharp_constant | sharp_constant | true | 0 | results/recorded/verification_results.json | {"bound":2.0,"defect_sum":4.0,"delta":2,"distance_squared":2.0,"identity_error":0.0,"kind":"sharp_constant","largest_covariance_eigenvalue":2.0,"n":4,"nearest_formula_error":0.0,"off_complement_mass":4.0,"residual_sum":32.0} |
rigidity-035 | rigidity | sharp_constant | sharp_constant | true | 0 | results/recorded/verification_results.json | {"bound":2.0,"defect_sum":4.0,"delta":2,"distance_squared":2.0,"identity_error":0.0,"kind":"sharp_constant","largest_covariance_eigenvalue":3.999999999999999,"n":6,"nearest_formula_error":0.0,"off_complement_mass":4.0,"residual_sum":32.0} |
rigidity-036 | rigidity | sharp_constant | sharp_constant | true | 0 | results/recorded/verification_results.json | {"bound":2.0,"defect_sum":6.0,"delta":3,"distance_squared":2.0,"identity_error":0.0,"kind":"sharp_constant","largest_covariance_eigenvalue":2.9999999999999996,"n":6,"nearest_formula_error":0.0,"off_complement_mass":4.0,"residual_sum":48.0} |
rigidity-037 | rigidity | sharp_constant | sharp_constant | true | 0 | results/recorded/verification_results.json | {"bound":2.0,"defect_sum":8.0,"delta":4,"distance_squared":2.0,"identity_error":0.0,"kind":"sharp_constant","largest_covariance_eigenvalue":3.999999999999999,"n":8,"nearest_formula_error":0.0,"off_complement_mass":4.0,"residual_sum":64.0} |
rigidity-038 | rigidity | exact_erasure_recovery | exact_erasure_recovery | true | 0 | results/recorded/verification_results.json | {"erasure_locations_checked":4,"kind":"exact_erasure_recovery","maximum_density_recovery_error":2.185138360293623e-16,"maximum_kl_error":1.923402235133598e-16,"maximum_post_erasure_collective_phase_error":3.427483507053832e-16,"maximum_recovery_completeness_error":2.746544248410882e-16,"n":4,"rank":3} |
rigidity-039 | rigidity | exact_erasure_recovery | exact_erasure_recovery | true | 0 | results/recorded/verification_results.json | {"erasure_locations_checked":6,"kind":"exact_erasure_recovery","maximum_density_recovery_error":1.217687788433933e-16,"maximum_kl_error":3.9253637702709275e-16,"maximum_post_erasure_collective_phase_error":1.5890470772125876e-16,"maximum_recovery_completeness_error":5.551115123125783e-16,"n":6,"rank":10} |
rigidity-040 | rigidity | exact_erasure_recovery | exact_erasure_recovery | true | 0 | results/recorded/verification_results.json | {"erasure_locations_checked":8,"kind":"exact_erasure_recovery","maximum_density_recovery_error":5.494057971869168e-17,"maximum_kl_error":6.707834488976634e-16,"maximum_post_erasure_collective_phase_error":6.600545094896479e-17,"maximum_recovery_completeness_error":8.459621780138418e-16,"n":8,"rank":35} |
rigidity-041 | rigidity | central_sector_sharp_half_constant | central_sector_sharp_half_constant | true | 0 | results/recorded/verification_results.json | {"bound":2.0,"defect_sum":4.0,"distance_squared":2.0,"expected_noncomplement_mass":4,"identity_error":0.0,"kind":"central_sector_sharp_half_constant","largest_covariance_eigenvalue":1.3333333333333335,"n":4,"nearest_formula_error":0.0,"off_complement_mass":4.0,"residual_sum":32.0} |
rigidity-042 | rigidity | central_sector_sharp_half_constant | central_sector_sharp_half_constant | true | 0 | results/recorded/verification_results.json | {"bound":6.0,"defect_sum":12.0,"distance_squared":6.0,"expected_noncomplement_mass":12,"identity_error":0.0,"kind":"central_sector_sharp_half_constant","largest_covariance_eigenvalue":1.2000000000000013,"n":6,"nearest_formula_error":0.0,"off_complement_mass":12.0,"residual_sum":96.0} |
rigidity-043 | rigidity | central_sector_sharp_half_constant | central_sector_sharp_half_constant | true | 0 | results/recorded/verification_results.json | {"bound":20.0,"defect_sum":40.0,"distance_squared":20.0,"expected_noncomplement_mass":40,"identity_error":0.0,"kind":"central_sector_sharp_half_constant","largest_covariance_eigenvalue":1.1428571428571441,"n":8,"nearest_formula_error":0.0,"off_complement_mass":40.0,"residual_sum":320.0} |
rigidity-044 | rigidity | central_four_noncomplement_swap_witness | central_four_noncomplement_swap_witness | true | 0 | results/recorded/verification_results.json | {"bound":1.9999999999999982,"defect_sum":3.9999999999999964,"distance_squared":1.9999999999999996,"identity_error":7.105427357601002e-15,"kind":"central_four_noncomplement_swap_witness","largest_covariance_eigenvalue":1.3333333333333335,"nearest_formula_error":4.440892098500626e-16,"off_complement_mass":3.9999999999999... |
rigidity-045 | rigidity | balanced_joint_signatures | balanced_joint_signatures | true | 0 | results/recorded/verification_results.json | {"antipodal_pairs":2,"kind":"balanced_joint_signatures","maximum_scalar_compression_error":3.163757407787533e-17} |
rigidity-046 | rigidity | individually_balanced_but_no_antipodal_joint_signature | individually_balanced_but_no_antipodal_joint_signature | true | 0 | results/recorded/verification_results.json | {"anticommuting_matrix_kernel_dimension":0,"conclusion":"No nonzero matrix anticommutes with all three signature observables; hence no rank-two zero-compression projector.","kind":"individually_balanced_but_no_antipodal_joint_signature"} |
rigidity-047 | rigidity | sharp_joint_signature_imbalance_obstruction | sharp_joint_signature_imbalance_obstruction | true | 0 | results/recorded/verification_results.json | {"defect_sum":2.0,"gamma":1.0,"gamma_delta_over_two":2.0,"identity_error":0.0,"kind":"sharp_joint_signature_imbalance_obstruction","signature_imbalance_delta":4} |
real_minimax-001 | real_minimax | nonnegative_schur | complete_dephasing_2 | true | 0.000001 | results/recorded/minimax_results.json | {"dimension":2,"duality_gap":0.0,"extremal_trace_norm_identity_error":2.220446049250313e-16,"kind":"nonnegative_schur","maximum_random_input_bound_excess":0.0,"maximum_random_recovery_fidelity_excess":0.0,"name":"complete_dephasing_2","simplex_minimum_lower":0.5,"simplex_minimum_upper":0.5} |
real_minimax-002 | real_minimax | nonnegative_schur | complete_dephasing_3 | true | 0.000001 | results/recorded/minimax_results.json | {"dimension":3,"duality_gap":0.0,"extremal_trace_norm_identity_error":0.0,"kind":"nonnegative_schur","maximum_random_input_bound_excess":0.0,"maximum_random_recovery_fidelity_excess":0.0,"name":"complete_dephasing_3","simplex_minimum_lower":0.3333333333333333,"simplex_minimum_upper":0.3333333333333333} |
real_minimax-003 | real_minimax | nonnegative_schur | complete_dephasing_5 | true | 0.000001 | results/recorded/minimax_results.json | {"dimension":5,"duality_gap":5.551115123125783e-17,"extremal_trace_norm_identity_error":2.220446049250313e-16,"kind":"nonnegative_schur","maximum_random_input_bound_excess":0.0,"maximum_random_recovery_fidelity_excess":0.0,"name":"complete_dephasing_5","simplex_minimum_lower":0.19999999999999998,"simplex_minimum_upper"... |
real_minimax-004 | real_minimax | nonnegative_schur | complete_dephasing_8 | true | 0.000001 | results/recorded/minimax_results.json | {"dimension":8,"duality_gap":0.0,"extremal_trace_norm_identity_error":4.440892098500626e-16,"kind":"nonnegative_schur","maximum_random_input_bound_excess":0.0,"maximum_random_recovery_fidelity_excess":0.0,"name":"complete_dephasing_8","simplex_minimum_lower":0.125,"simplex_minimum_upper":0.125} |
real_minimax-005 | real_minimax | nonnegative_schur | identity_channel | true | 0.000001 | results/recorded/minimax_results.json | {"dimension":5,"duality_gap":0.0,"extremal_trace_norm_identity_error":0.0,"kind":"nonnegative_schur","maximum_random_input_bound_excess":0.0,"maximum_random_recovery_fidelity_excess":0.0,"name":"identity_channel","simplex_minimum_lower":1.0,"simplex_minimum_upper":1.0} |
real_minimax-006 | real_minimax | nonnegative_schur | equicorrelation_3_0.15 | true | 0.000001 | results/recorded/minimax_results.json | {"dimension":3,"duality_gap":0.0,"extremal_trace_norm_identity_error":1.6653345369377348e-16,"kind":"nonnegative_schur","maximum_random_input_bound_excess":0.0,"maximum_random_recovery_fidelity_excess":0.0,"name":"equicorrelation_3_0.15","simplex_minimum_lower":0.8999999999999999,"simplex_minimum_upper":0.8999999999999... |
real_minimax-007 | real_minimax | nonnegative_schur | equicorrelation_4_0.5 | true | 0.000001 | results/recorded/minimax_results.json | {"dimension":4,"duality_gap":0.0,"extremal_trace_norm_identity_error":0.0,"kind":"nonnegative_schur","maximum_random_input_bound_excess":0.0,"maximum_random_recovery_fidelity_excess":0.0,"name":"equicorrelation_4_0.5","simplex_minimum_lower":0.625,"simplex_minimum_upper":0.625} |
real_minimax-008 | real_minimax | nonnegative_schur | equicorrelation_6_0.8 | true | 0.000001 | results/recorded/minimax_results.json | {"dimension":6,"duality_gap":1.1102230246251565e-16,"extremal_trace_norm_identity_error":0.0,"kind":"nonnegative_schur","maximum_random_input_bound_excess":0.0,"maximum_random_recovery_fidelity_excess":0.0,"name":"equicorrelation_6_0.8","simplex_minimum_lower":0.33333333333333326,"simplex_minimum_upper":0.3333333333333... |
real_minimax-009 | real_minimax | nonnegative_schur | equicorrelation_7_1.0 | true | 0.000001 | results/recorded/minimax_results.json | {"dimension":7,"duality_gap":5.551115123125783e-17,"extremal_trace_norm_identity_error":0.0,"kind":"nonnegative_schur","maximum_random_input_bound_excess":0.0,"maximum_random_recovery_fidelity_excess":0.0,"name":"equicorrelation_7_1.0","simplex_minimum_lower":0.14285714285714285,"simplex_minimum_upper":0.14285714285714... |
real_minimax-010 | real_minimax | nonnegative_schur | positive_gram_0 | true | 0.000001 | results/recorded/minimax_results.json | {"dimension":3,"duality_gap":1.9984014443252818e-15,"extremal_trace_norm_identity_error":8.881784197001252e-16,"kind":"nonnegative_schur","maximum_random_input_bound_excess":0.0,"maximum_random_recovery_fidelity_excess":0.0,"name":"positive_gram_0","simplex_minimum_lower":0.6213700328488412,"simplex_minimum_upper":0.62... |
real_minimax-011 | real_minimax | nonnegative_schur | positive_gram_1 | true | 0.000001 | results/recorded/minimax_results.json | {"dimension":4,"duality_gap":4.440892098500626e-16,"extremal_trace_norm_identity_error":2.220446049250313e-16,"kind":"nonnegative_schur","maximum_random_input_bound_excess":0.0,"maximum_random_recovery_fidelity_excess":0.0,"name":"positive_gram_1","simplex_minimum_lower":0.7404167206384591,"simplex_minimum_upper":0.740... |
real_minimax-012 | real_minimax | nonnegative_schur | positive_gram_2 | true | 0.000001 | results/recorded/minimax_results.json | {"dimension":5,"duality_gap":6.699179433411473e-09,"extremal_trace_norm_identity_error":2.7755575615628914e-16,"kind":"nonnegative_schur","maximum_random_input_bound_excess":0.0,"maximum_random_recovery_fidelity_excess":0.0,"name":"positive_gram_2","simplex_minimum_lower":0.8141084611961469,"simplex_minimum_upper":0.81... |
real_minimax-013 | real_minimax | nonnegative_schur | positive_gram_3 | true | 0.000001 | results/recorded/minimax_results.json | {"dimension":6,"duality_gap":2.4539518195254573e-08,"extremal_trace_norm_identity_error":9.43689570931383e-16,"kind":"nonnegative_schur","maximum_random_input_bound_excess":0.0,"maximum_random_recovery_fidelity_excess":0.0,"name":"positive_gram_3","simplex_minimum_lower":0.7937782047922277,"simplex_minimum_upper":0.793... |
real_minimax-014 | real_minimax | nonnegative_schur | positive_gram_4 | true | 0.000001 | results/recorded/minimax_results.json | {"dimension":3,"duality_gap":7.534185497704016e-09,"extremal_trace_norm_identity_error":1.1102230246251565e-16,"kind":"nonnegative_schur","maximum_random_input_bound_excess":0.0,"maximum_random_recovery_fidelity_excess":0.0,"name":"positive_gram_4","simplex_minimum_lower":0.8091438646799711,"simplex_minimum_upper":0.80... |
real_minimax-015 | real_minimax | nonnegative_schur | positive_gram_5 | true | 0.000001 | results/recorded/minimax_results.json | {"dimension":4,"duality_gap":0.0,"extremal_trace_norm_identity_error":4.440892098500626e-16,"kind":"nonnegative_schur","maximum_random_input_bound_excess":0.0,"maximum_random_recovery_fidelity_excess":0.0,"name":"positive_gram_5","simplex_minimum_lower":0.6626395688977935,"simplex_minimum_upper":0.6626395688977935} |
real_minimax-016 | real_minimax | nonnegative_schur | positive_gram_6 | true | 0.000001 | results/recorded/minimax_results.json | {"dimension":5,"duality_gap":1.4980240825579472e-08,"extremal_trace_norm_identity_error":1.1657341758564144e-15,"kind":"nonnegative_schur","maximum_random_input_bound_excess":0.0,"maximum_random_recovery_fidelity_excess":0.0,"name":"positive_gram_6","simplex_minimum_lower":0.8751023118594269,"simplex_minimum_upper":0.8... |
real_minimax-017 | real_minimax | nonnegative_schur | gaussian_phase_kernel_0 | true | 0.000001 | results/recorded/minimax_results.json | {"dimension":6,"duality_gap":2.4343192794873403e-08,"extremal_trace_norm_identity_error":2.220446049250313e-16,"kind":"nonnegative_schur","maximum_random_input_bound_excess":0.0,"maximum_random_recovery_fidelity_excess":0.0,"name":"gaussian_phase_kernel_0","simplex_minimum_lower":0.3979758079878891,"simplex_minimum_upp... |
real_minimax-018 | real_minimax | nonnegative_schur | gaussian_phase_kernel_1 | true | 0.000001 | results/recorded/minimax_results.json | {"dimension":6,"duality_gap":5.675690428752489e-08,"extremal_trace_norm_identity_error":8.881784197001252e-16,"kind":"nonnegative_schur","maximum_random_input_bound_excess":0.0,"maximum_random_recovery_fidelity_excess":0.0,"name":"gaussian_phase_kernel_1","simplex_minimum_lower":0.31554655229237527,"simplex_minimum_upp... |
real_minimax-019 | real_minimax | nonnegative_schur | gaussian_phase_kernel_2 | true | 0.000001 | results/recorded/minimax_results.json | {"dimension":6,"duality_gap":5.7524907060013675e-08,"extremal_trace_norm_identity_error":1.1102230246251565e-15,"kind":"nonnegative_schur","maximum_random_input_bound_excess":0.0,"maximum_random_recovery_fidelity_excess":0.0,"name":"gaussian_phase_kernel_2","simplex_minimum_lower":0.22829575867965507,"simplex_minimum_u... |
real_minimax-020 | real_minimax | nonnegative_schur | nonnegative_five_cycle_correlation | true | 0.000001 | results/recorded/minimax_results.json | {"dimension":5,"duality_gap":1.1102230246251565e-16,"extremal_trace_norm_identity_error":2.220446049250313e-16,"kind":"nonnegative_schur","maximum_random_input_bound_excess":0.0,"maximum_random_recovery_fidelity_excess":0.0,"name":"nonnegative_five_cycle_correlation","simplex_minimum_lower":0.43999999999999995,"simplex... |
real_minimax-021 | real_minimax | binary_closed_formula | binary_closed_formula | true | 0.000001 | results/recorded/minimax_results.json | {"closed_form_diamond_error":0.08409280341068093,"closed_formula_error":0.0,"dimension":2,"duality_gap":0.0,"kind":"binary_closed_formula","maximum_eigenvalue":0.5678712915560191,"minimum_eigenvalue":-0.22032802231004056} |
real_minimax-022 | real_minimax | binary_closed_formula | binary_closed_formula | true | 0.000001 | results/recorded/minimax_results.json | {"closed_form_diamond_error":0.05824410756239129,"closed_formula_error":7.771561172376096e-16,"dimension":3,"duality_gap":4.440892098500626e-16,"kind":"binary_closed_formula","maximum_eigenvalue":-0.031640835351991026,"minimum_eigenvalue":-0.6575866205242655} |
real_minimax-023 | real_minimax | binary_closed_formula | binary_closed_formula | true | 0.000001 | results/recorded/minimax_results.json | {"closed_form_diamond_error":0.3149194880223344,"closed_formula_error":1.1102230246251565e-16,"dimension":4,"duality_gap":2.220446049250313e-16,"kind":"binary_closed_formula","maximum_eigenvalue":0.42425556093520056,"minimum_eigenvalue":-0.929857222247942} |
real_minimax-024 | real_minimax | binary_closed_formula | binary_closed_formula | true | 0.000001 | results/recorded/minimax_results.json | {"closed_form_diamond_error":0.06954378327834387,"closed_formula_error":2.220446049250313e-16,"dimension":5,"duality_gap":0.0,"kind":"binary_closed_formula","maximum_eigenvalue":0.18988433688232376,"minimum_eigenvalue":-0.5305389985009228} |
real_minimax-025 | real_minimax | binary_closed_formula | binary_closed_formula | true | 0.000001 | results/recorded/minimax_results.json | {"closed_form_diamond_error":0.008150999047626506,"closed_formula_error":4.440892098500626e-16,"dimension":6,"duality_gap":2.220446049250313e-16,"kind":"binary_closed_formula","maximum_eigenvalue":-0.20538770130919892,"minimum_eigenvalue":-0.44609034043043594} |
real_minimax-026 | real_minimax | binary_closed_formula | binary_closed_formula | true | 0.000001 | results/recorded/minimax_results.json | {"closed_form_diamond_error":0.038122120447065866,"closed_formula_error":2.220446049250313e-16,"dimension":2,"duality_gap":2.220446049250313e-16,"kind":"binary_closed_formula","maximum_eigenvalue":-0.20984035222854214,"minimum_eigenvalue":-0.6928460416705158} |
real_minimax-027 | real_minimax | binary_closed_formula | binary_closed_formula | true | 0.000001 | results/recorded/minimax_results.json | {"closed_form_diamond_error":0.01864719952584548,"closed_formula_error":0.0,"dimension":3,"duality_gap":0.0,"kind":"binary_closed_formula","maximum_eigenvalue":-0.6607170273803238,"minimum_eigenvalue":-0.89508039206931} |
real_minimax-028 | real_minimax | binary_closed_formula | binary_closed_formula | true | 0.000001 | results/recorded/minimax_results.json | {"closed_form_diamond_error":0.15205795056509364,"closed_formula_error":2.220446049250313e-16,"dimension":4,"duality_gap":6.661338147750939e-16,"kind":"binary_closed_formula","maximum_eigenvalue":0.9061344396037196,"minimum_eigenvalue":0.01664235623996535} |
real_minimax-029 | real_minimax | orthogonal_flagged_commuting_channel | orthogonal_flagged_commuting_channel | true | 0.000001 | results/recorded/minimax_results.json | {"branches":2,"dimension":2,"duality_gap":0.0,"kind":"orthogonal_flagged_commuting_channel","maximum_random_recovery_fidelity_excess":0.0,"polar_channel_identity_error":7.850462293418876e-17} |
real_minimax-030 | real_minimax | orthogonal_flagged_commuting_channel | orthogonal_flagged_commuting_channel | true | 0.000001 | results/recorded/minimax_results.json | {"branches":3,"dimension":3,"duality_gap":4.440892098500626e-16,"kind":"orthogonal_flagged_commuting_channel","maximum_random_recovery_fidelity_excess":0.0,"polar_channel_identity_error":3.1031676915590914e-17} |
real_minimax-031 | real_minimax | orthogonal_flagged_commuting_channel | orthogonal_flagged_commuting_channel | true | 0.000001 | results/recorded/minimax_results.json | {"branches":4,"dimension":4,"duality_gap":3.679029125791544e-08,"kind":"orthogonal_flagged_commuting_channel","maximum_random_recovery_fidelity_excess":0.0,"polar_channel_identity_error":8.312656720654792e-17} |
real_minimax-032 | real_minimax | orthogonal_flagged_commuting_channel | orthogonal_flagged_commuting_channel | true | 0.000001 | results/recorded/minimax_results.json | {"branches":2,"dimension":5,"duality_gap":2.220446049250313e-16,"kind":"orthogonal_flagged_commuting_channel","maximum_random_recovery_fidelity_excess":0.0,"polar_channel_identity_error":4.3394099949984434e-17} |
real_minimax-033 | real_minimax | orthogonal_flagged_commuting_channel | orthogonal_flagged_commuting_channel | true | 0.000001 | results/recorded/minimax_results.json | {"branches":3,"dimension":2,"duality_gap":0.0,"kind":"orthogonal_flagged_commuting_channel","maximum_random_recovery_fidelity_excess":0.0,"polar_channel_identity_error":1.1188630228279524e-16} |
real_minimax-034 | real_minimax | orthogonal_flagged_commuting_channel | orthogonal_flagged_commuting_channel | true | 0.000001 | results/recorded/minimax_results.json | {"branches":4,"dimension":3,"duality_gap":1.2972239504804861e-08,"kind":"orthogonal_flagged_commuting_channel","maximum_random_recovery_fidelity_excess":0.0,"polar_channel_identity_error":5.890401654755922e-17} |
real_minimax-035 | real_minimax | orthogonal_flagged_commuting_channel | orthogonal_flagged_commuting_channel | true | 0.000001 | results/recorded/minimax_results.json | {"branches":2,"dimension":4,"duality_gap":2.220446049250313e-16,"kind":"orthogonal_flagged_commuting_channel","maximum_random_recovery_fidelity_excess":0.0,"polar_channel_identity_error":4.291468873614597e-17} |
real_minimax-036 | real_minimax | orthogonal_flagged_commuting_channel | orthogonal_flagged_commuting_channel | true | 0.000001 | results/recorded/minimax_results.json | {"branches":3,"dimension":5,"duality_gap":2.220446049250313e-16,"kind":"orthogonal_flagged_commuting_channel","maximum_random_recovery_fidelity_excess":0.0,"polar_channel_identity_error":4.366579663241769e-17} |
real_minimax-037 | real_minimax | tensorization | tensorization | true | 0.000001 | results/recorded/minimax_results.json | {"dimensions":[3,4],"duality_gap":3.734332842952881e-09,"joint_simplex_minimum":0.7169078557591799,"kind":"tensorization","product_of_simplex_minima":0.7169078557591797,"product_witness_duality_gap":2.220446049250313e-16,"tensorization_error":2.220446049250313e-16} |
real_minimax-038 | real_minimax | tensorization | tensorization | true | 0.000001 | results/recorded/minimax_results.json | {"dimensions":[3,4],"duality_gap":4.815410070690973e-09,"joint_simplex_minimum":0.6793244932106453,"kind":"tensorization","product_of_simplex_minima":0.6793244932106449,"product_witness_duality_gap":2.7028863591738173e-09,"tensorization_error":3.3306690738754696e-16} |
real_minimax-039 | real_minimax | tensorization | tensorization | true | 0.000001 | results/recorded/minimax_results.json | {"dimensions":[3,4],"duality_gap":1.944627059380366e-08,"joint_simplex_minimum":0.7748895194432603,"kind":"tensorization","product_of_simplex_minima":0.7748895194432557,"product_witness_duality_gap":8.881784197001252e-16,"tensorization_error":4.6629367034256575e-15} |
real_minimax-040 | real_minimax | tensorization | tensorization | true | 0.000001 | results/recorded/minimax_results.json | {"dimensions":[3,4],"duality_gap":3.70505375268948e-08,"joint_simplex_minimum":0.548194885235034,"kind":"tensorization","product_of_simplex_minima":0.548194885235033,"product_witness_duality_gap":1.043755126772794e-08,"tensorization_error":9.992007221626409e-16} |
real_minimax-041 | real_minimax | tensorization | tensorization | true | 0.000001 | results/recorded/minimax_results.json | {"dimensions":[3,4],"duality_gap":7.692072978571218e-09,"joint_simplex_minimum":0.740239207422857,"kind":"tensorization","product_of_simplex_minima":0.7402392074228565,"product_witness_duality_gap":6.009549746721632e-09,"tensorization_error":4.440892098500626e-16} |
real_minimax-042 | real_minimax | tensorization | tensorization | true | 0.000001 | results/recorded/minimax_results.json | {"dimensions":[3,4],"duality_gap":1.6908874300725074e-09,"joint_simplex_minimum":0.5441104839685315,"kind":"tensorization","product_of_simplex_minima":0.5441104839685321,"product_witness_duality_gap":1.0564919605826617e-08,"tensorization_error":6.661338147750939e-16} |
real_minimax-043 | real_minimax | tensorization | tensorization | true | 0.000001 | results/recorded/minimax_results.json | {"dimensions":[3,4],"duality_gap":2.077271243905443e-09,"joint_simplex_minimum":0.6598659779553401,"kind":"tensorization","product_of_simplex_minima":0.6598659779553404,"product_witness_duality_gap":1.5019582022546274e-08,"tensorization_error":3.3306690738754696e-16} |
real_minimax-044 | real_minimax | tensorization | tensorization | true | 0.000001 | results/recorded/minimax_results.json | {"dimensions":[3,4],"duality_gap":4.259274333229257e-08,"joint_simplex_minimum":0.664207805279966,"kind":"tensorization","product_of_simplex_minima":0.6642078052799629,"product_witness_duality_gap":6.783711370417222e-10,"tensorization_error":3.1086244689504383e-15} |
real_minimax-045 | real_minimax | real_schur_fixed_channel_only | signed_real_gram_0 | true | 0.000001 | results/recorded/minimax_results.json | {"dimension":4,"duality_gap":2.220446049250313e-16,"extremal_trace_norm_identity_error":6.661338147750939e-16,"kind":"real_schur_fixed_channel_only","maximum_random_input_bound_excess":0.0,"maximum_random_recovery_fidelity_excess":0.0,"name":"signed_real_gram_0","simplex_minimum_lower":0.5099269448398991,"simplex_minim... |
real_minimax-046 | real_minimax | real_schur_fixed_channel_only | signed_real_gram_1 | true | 0.000001 | results/recorded/minimax_results.json | {"dimension":4,"duality_gap":2.7755575615628914e-17,"extremal_trace_norm_identity_error":0.0,"kind":"real_schur_fixed_channel_only","maximum_random_input_bound_excess":0.0,"maximum_random_recovery_fidelity_excess":0.0,"name":"signed_real_gram_1","simplex_minimum_lower":0.0915638764502865,"simplex_minimum_upper":0.09156... |
real_minimax-047 | real_minimax | real_schur_fixed_channel_only | signed_real_gram_2 | true | 0.000001 | results/recorded/minimax_results.json | {"dimension":4,"duality_gap":6.44247100736739e-08,"extremal_trace_norm_identity_error":6.661338147750939e-16,"kind":"real_schur_fixed_channel_only","maximum_random_input_bound_excess":0.0,"maximum_random_recovery_fidelity_excess":0.0,"name":"signed_real_gram_2","simplex_minimum_lower":0.026649081140140748,"simplex_mini... |
real_minimax-048 | real_minimax | real_schur_fixed_channel_only | signed_real_gram_3 | true | 0.000001 | results/recorded/minimax_results.json | {"dimension":4,"duality_gap":2.220446049250313e-16,"extremal_trace_norm_identity_error":4.440892098500626e-16,"kind":"real_schur_fixed_channel_only","maximum_random_input_bound_excess":0.0,"maximum_random_recovery_fidelity_excess":0.0,"name":"signed_real_gram_3","simplex_minimum_lower":0.3982457847096085,"simplex_minim... |
real_minimax-049 | real_minimax | negative_phase_counterexample_to_identity_optimality | negative_phase_counterexample_to_identity_optimality | true | 0.000001 | results/recorded/minimax_results.json | {"fixed_channel_diamond_error":2.0,"kind":"negative_phase_counterexample_to_identity_optimality","phase_unitary_corrected_diamond_error":0.0} |
real_minimax-050 | real_minimax | complex_phase_counterexample_to_real_distance_formula | complex_phase_counterexample_to_real_distance_formula | true | 0.000001 | results/recorded/minimax_results.json | {"fixed_channel_diamond_error":1.4142135623730954,"invalid_real_formula_value":1.0,"kind":"complex_phase_counterexample_to_real_distance_formula"} |
extensions-001 | extensions | exact_tail_noncompletion | exact_tail_noncompletion | true | 0 | results/recorded/extensions_results.json | {"ambient_dimension":8,"check_method":"Exact tail counts, exhaustive cube-edge check, exact parity sum, and small covariance matrix; no global code projector allocated.","complement_fourier_coefficient":0.0,"covariance_error":0.0,"even_count":1,"forbidden_cube_edges":0,"kind":"exact_tail_noncompletion","largest_covaria... |
extensions-002 | extensions | exact_tail_noncompletion | exact_tail_noncompletion | true | 0 | results/recorded/extensions_results.json | {"ambient_dimension":128,"check_method":"Exact tail counts, exhaustive cube-edge check, exact parity sum, and small covariance matrix; no global code projector allocated.","complement_fourier_coefficient":0.0,"covariance_error":0.0,"even_count":22,"forbidden_cube_edges":0,"kind":"exact_tail_noncompletion","largest_cova... |
extensions-003 | extensions | exact_tail_noncompletion | exact_tail_noncompletion | true | 0 | results/recorded/extensions_results.json | {"ambient_dimension":2048,"check_method":"Exact tail counts, exhaustive cube-edge check, exact parity sum, and small covariance matrix; no global code projector allocated.","complement_fourier_coefficient":0.0,"covariance_error":0.0,"even_count":386,"forbidden_cube_edges":0,"kind":"exact_tail_noncompletion","largest_co... |
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