{"id":"W2120692888","doi":"10.3390/e12061612","title":"Eigenvalue and Entropy Statistics for Products of Conjugate Random Quantum Channels","year":2010,"lang":"en","type":"article","venue":"Entropy","topic":"Quantum Information and Cryptography","field":"Computer Science","cited_by":9,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Ottawa","funders":"","keywords":"Von Neumann entropy; Quantum relative entropy; Counterexample; Entropy (arrow of time); Eigenvalues and eigenvectors; Generalized relative entropy; Quantum mutual information; Rényi entropy; Quantum; Joint quantum entropy","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":[0.0003050678,0.0001168347,0.0001936492,0.0001070124,0.00009545755,0.00009804191,0.0003006658,0.00004475595,0.0000226092],"category_scores_gemma":[0.0001670412,0.00009951289,0.00004562273,0.0001702208,0.0001072932,0.0002960099,0.00006006957,0.0001013826,0.00001456991],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000003523836,"about_ca_system_score_gemma":0.00005077701,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000006663836,"about_ca_topic_score_gemma":0.000001196367,"domain_scores_codex":[0.9990552,0.00002735805,0.0003003151,0.0001951041,0.0001908866,0.0002311391],"domain_scores_gemma":[0.9990823,0.0001206988,0.0001740622,0.0003237734,0.0002087723,0.00009044955],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00005043808,0.00003439143,0.0001349723,0.00005527655,0.00001772811,6.992191e-7,0.0006877044,0.00000809925,0.01809612,0.9762689,0.002702317,0.0019433],"study_design_scores_gemma":[0.009439421,0.0007009424,0.001587093,0.00003154569,0.00004633915,0.00003176751,0.0001298157,0.5115736,0.1873741,0.1961398,0.09233243,0.0006131277],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1209379,0.00006905405,0.8763415,0.0006329495,0.001332718,0.0004901731,0.00005429315,0.0000649744,0.00007646487],"genre_scores_gemma":[0.901865,0.00004505669,0.09766068,0.0002049754,0.0001212172,0.00003387284,0.00001594806,0.000008293822,0.0000449333],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.7809271,"threshold_uncertainty_score":0.4058018,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0101285552129596,"score_gpt":0.2374146519803394,"score_spread":0.2272860967673798,"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."}}