{"id":"W2061517624","doi":"10.1007/s00220-010-1012-0","title":"Random Quantum Channels I: Graphical Calculus and the Bell State Phenomenon","year":2010,"lang":"en","type":"article","venue":"Communications in Mathematical Physics","topic":"Random Matrices and Applications","field":"Mathematics","cited_by":80,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Ottawa","funders":"","keywords":"Eigenvalues and eigenvectors; Random matrix; Mathematics; Quantum; Statistical physics; Entropy (arrow of time); Applied mathematics; Calculus (dental); Quantum mechanics; Physics","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001360282,0.0002020187,0.0004744574,0.00005629496,0.00039626,0.0001144199,0.00105906,0.00008451514,0.00002935566],"category_scores_gemma":[0.0005582476,0.0001345421,0.0001264267,0.0004787243,0.001167476,0.0001138082,0.0004732777,0.0007980161,0.00004695759],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001438435,"about_ca_system_score_gemma":0.00002649926,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001884725,"about_ca_topic_score_gemma":0.00003388539,"domain_scores_codex":[0.9984451,0.0002336513,0.0006004309,0.0002192297,0.0002247039,0.0002768949],"domain_scores_gemma":[0.9924079,0.005076997,0.0001850413,0.002152332,0.00008490022,0.00009289936],"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":[0.00004243807,0.0003945052,0.00001715741,0.00005701931,0.00002325453,2.579156e-7,0.001658714,0.000007065703,0.0001379558,0.9960254,0.0001654696,0.001470751],"study_design_scores_gemma":[0.003342925,0.000009276581,0.00002703974,0.00002978464,0.00005401174,0.000006133918,0.0001701012,0.05937149,0.0000467488,0.9358143,0.0009722102,0.0001559727],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5770415,0.0009992515,0.3490159,0.02488222,0.0002970127,0.005863294,0.00005979161,0.0004484442,0.04139254],"genre_scores_gemma":[0.9772956,0.0003686713,0.02139251,0.0001114253,0.0000734204,0.0005502192,0.000008360667,0.00003659504,0.0001631627],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4002541,"threshold_uncertainty_score":0.5486466,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04492869528735014,"score_gpt":0.3367647520157555,"score_spread":0.2918360567284053,"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."}}