{"id":"W2155122771","doi":"10.48550/arxiv.1305.6545","title":"Construction of all general symmetric informationally complete measurements","year":2013,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Numerical methods in inverse problems","field":"Mathematics","cited_by":19,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Orthonormal basis; Rank (graph theory); Dimension (graph theory); POVM; Mathematics; Set (abstract data type); Pure mathematics; Operator (biology); Identity (music); Basis (linear algebra); Vector space; Combinatorics; Computer science; Physics; Geometry; Quantum mechanics","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001542256,0.0007748515,0.001055581,0.00168239,0.001201703,0.001519636,0.001464533,0.001237786,0.003651843],"category_scores_gemma":[0.003816854,0.0006468093,0.0009281593,0.0007775038,0.002566411,0.002753662,0.0033509,0.002149639,0.0006453973],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006622283,"about_ca_system_score_gemma":0.0008623675,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002100184,"about_ca_topic_score_gemma":0.000198412,"domain_scores_codex":[0.998562,0.0003889995,0.0000753534,0.0003246424,0.0004513906,0.0001975336],"domain_scores_gemma":[0.9986413,0.0003057722,0.0002427174,0.0003552061,0.0002497288,0.0002052082],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00004377257,0.00002501103,0.0004697926,0.00006554256,0.0000171299,0.0001084004,0.0001038427,0.006179561,0.005950536,0.9777949,0.0006736689,0.008567692],"study_design_scores_gemma":[0.00002605263,0.0001211096,0.0008026854,0.00004966481,0.00001852998,0.0004088974,0.0001459971,0.1010481,0.008146886,0.8813663,0.00780741,0.00005837759],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1966545,0.0003431615,0.7727869,0.0004853753,0.0001168586,0.0001201593,0.0006704825,0.0003338305,0.02848881],"genre_scores_gemma":[0.7786776,0.0004220813,0.2117659,0.0002967132,0.0001007709,0.0003377499,0.0007761112,0.0001915051,0.007431412],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.003651843,"threshold_uncertainty_score":0.01221669,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.3744526154959547,"score_gpt":0.2707189242291004,"score_spread":0.1037336912668543,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}