{"id":"W3209380818","doi":"10.1016/j.laa.2022.08.016","title":"Completely positive completely positive maps (and a resource theory for non-negativity of quantum amplitudes)","year":2022,"lang":"en","type":"article","venue":"Linear Algebra and its Applications","topic":"Quantum Information and Cryptography","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"Mount Allison University; University of Guelph","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Quantum; Negativity effect; Sign (mathematics); Measure (data warehouse); Regular polygon; Set (abstract data type); Pure mathematics; Amplitude; Resource (disambiguation); Discrete mathematics; Quantum mechanics; Mathematical analysis; Physics; Computer science; Geometry","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004201605,0.0001491067,0.000227628,0.0001586584,0.0007223769,0.0000688524,0.0004084143,0.00003560654,0.00001590273],"category_scores_gemma":[0.00002125078,0.0001491805,0.00008562756,0.0004822589,0.0001376109,0.0002363822,0.0003454547,0.0001578455,0.000005502911],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001523546,"about_ca_system_score_gemma":0.00003798245,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001145141,"about_ca_topic_score_gemma":0.000001290268,"domain_scores_codex":[0.9988286,0.0001019194,0.0003267008,0.0003211835,0.0002131092,0.0002084857],"domain_scores_gemma":[0.9986135,0.0006115775,0.0002098386,0.0003094929,0.0001484355,0.0001071013],"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":[0.00003809736,0.0001003411,0.00003582566,0.00003406849,0.00003714761,2.134536e-7,0.001859256,0.00001858837,0.0007940231,0.9922072,0.0003446373,0.004530618],"study_design_scores_gemma":[0.002806789,0.001420959,0.02251517,0.0000548267,0.0001088521,0.00009455513,0.002846962,0.3837502,0.005878122,0.4611774,0.1183368,0.001009344],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.0295529,0.0001919627,0.9653609,0.001219482,0.00002792728,0.001193273,0.0008610038,0.00007459959,0.001517946],"genre_scores_gemma":[0.9889855,0.00001669928,0.008994674,0.00106584,0.00003008084,0.0007142881,0.0001428067,0.00001144595,0.00003867217],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.9594326,"threshold_uncertainty_score":0.6083403,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01500775883557801,"score_gpt":0.2489132599948985,"score_spread":0.2339055011593205,"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."}}