{"id":"W2609330888","doi":"10.22331/q-2019-01-25-117","title":"POVMs are equivalent to projections for perfect state exclusion of three pure states in three dimensions","year":2019,"lang":"en","type":"article","venue":"Quantum","topic":"Quantum Computing Algorithms and Architecture","field":"Computer Science","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"State (computer science); POVM; Rank (graph theory); Quantum state; Simple (philosophy); Quantum; Generality","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":[0.000427759,0.0002096,0.0003331639,0.0003005859,0.0001514212,0.00006095969,0.0006233762,0.00005773031,0.000007858946],"category_scores_gemma":[0.00005565278,0.0001698358,0.0001275856,0.0006550722,0.00002914241,0.0001369043,0.0005276141,0.0002064782,0.00002960514],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000504805,"about_ca_system_score_gemma":0.00009314687,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001880148,"about_ca_topic_score_gemma":0.0005581774,"domain_scores_codex":[0.9982391,0.00005117797,0.0003650528,0.0005560312,0.0003102801,0.0004783738],"domain_scores_gemma":[0.9986947,0.0002521665,0.0001567159,0.0006543756,0.0001340658,0.0001079351],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0004497969,0.002041686,0.1020198,0.001205649,0.0002072401,0.00007941892,0.01791311,0.6014454,0.0412916,0.1008324,0.004005912,0.1285079],"study_design_scores_gemma":[0.0005516935,0.0008664296,0.02581171,0.0002675396,0.000005483964,0.000009043009,0.00007473761,0.9222214,0.0008766489,0.04836525,0.0006861388,0.0002638809],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7444876,0.0001073435,0.2524178,0.001370793,0.0005788518,0.0008864551,0.00003151287,0.00009646171,0.00002312837],"genre_scores_gemma":[0.9832037,0.000009127151,0.01646168,0.0001343996,0.00004616336,0.00004814466,0.000005632731,0.00002222736,0.00006892606],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.320776,"threshold_uncertainty_score":0.6925701,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02020062126230699,"score_gpt":0.2647921855115933,"score_spread":0.2445915642492863,"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."}}