{"id":"W3142004538","doi":"10.1063/5.0020254","title":"The coherent information on the manifold of positive definite density matrices","year":2021,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Quantum Information and Cryptography","field":"Computer Science","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Guelph; University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada; Huawei Technologies","keywords":"Mathematics; Saddle point; Positive-definite matrix; Hermitian matrix; Quantum information; Eigenvalues and eigenvectors; Hessian matrix; Tensor (intrinsic definition); Manifold (fluid mechanics); Pure mathematics; Quantum; Quantum mechanics; Physics; Geometry; Applied mathematics","routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000639725,0.0004916054,0.0004779841,0.0007684654,0.0008768472,0.001174112,0.0005091619,0.0005718978,0.00309832],"category_scores_gemma":[0.003067383,0.0002652093,0.0004037644,0.0003715547,0.002539937,0.002986457,0.001181401,0.001190933,0.0003490494],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000588898,"about_ca_system_score_gemma":0.0006178006,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007180178,"about_ca_topic_score_gemma":0.0004206574,"domain_scores_codex":[0.9996153,0.0001106026,0.00001384591,0.00008547487,0.0001021398,0.00007264668],"domain_scores_gemma":[0.9988731,0.0005158948,0.0002017367,0.0001354479,0.000162959,0.0001108422],"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":[0.00003015301,0.00001844504,0.0002622153,0.00004569817,0.000007388468,0.0001164138,0.0001070472,0.01446623,0.004613455,0.9751149,0.000403838,0.004814283],"study_design_scores_gemma":[0.000008593391,0.00008300236,0.0006850879,0.0000211491,0.000006688379,0.0002028881,0.00007231383,0.1873151,0.003108883,0.8068716,0.00159159,0.00003323625],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3837868,0.0007440384,0.5818509,0.00101605,0.00007743976,0.00005759106,0.0002111608,0.000123812,0.03213218],"genre_scores_gemma":[0.9644789,0.0005524874,0.0299939,0.0001223304,0.0001121608,0.00006100656,0.0001032219,0.00004486911,0.004531109],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.00309832,"threshold_uncertainty_score":0.01036489,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01391217589437972,"score_gpt":0.2249963702609655,"score_spread":0.2110841943665858,"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."}}