{"id":"W2904405839","doi":"10.2140/ant.2020.14.275","title":"On the definition of quantum Heisenberg category","year":2020,"lang":"en","type":"article","venue":"Algebra & Number Theory","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":29,"is_retracted":false,"has_abstract":true,"ca_institutions":"Perimeter Institute; University of Waterloo; University of Ottawa","funders":"","keywords":"Mathematics; Morphism; Invertible matrix; Symmetric monoidal category; Pure mathematics; Generator (circuit theory); Quantum; Skein; Closed monoidal category; Heisenberg group; Algebra over a field; Discrete mathematics; 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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001517832,0.0004479736,0.0006726374,0.002105763,0.002380023,0.002517987,0.001242081,0.00109102,0.005204278],"category_scores_gemma":[0.001423028,0.0002574766,0.0005917371,0.001688682,0.00597734,0.00490309,0.002781245,0.002564493,0.0008948931],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001859095,"about_ca_system_score_gemma":0.001311691,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002060687,"about_ca_topic_score_gemma":0.001351113,"domain_scores_codex":[0.9988182,0.0002841658,0.00008446645,0.000269012,0.00037851,0.0001656633],"domain_scores_gemma":[0.9992169,0.0002002351,0.00005570576,0.00009332983,0.0002903592,0.0001433987],"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":[0.000002274195,0.000004212236,0.00004320225,0.00001087655,0.000001595651,0.00002132398,0.0001211592,0.0001153486,0.0002163151,0.9976156,0.0003311855,0.00151706],"study_design_scores_gemma":[0.000004718793,0.00001258945,0.0002575541,0.00001981749,0.000003530692,0.0001465938,0.0001099292,0.001199021,0.0002700565,0.962907,0.03505304,0.00001610862],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.166209,0.01065515,0.4483735,0.008764842,0.002439171,0.0002598503,0.001367805,0.0004723668,0.3614583],"genre_scores_gemma":[0.8530818,0.002860351,0.109233,0.002470769,0.001015252,0.0003912998,0.0006218449,0.0001613921,0.03016441],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005204278,"threshold_uncertainty_score":0.0174101,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04993600838735555,"score_gpt":0.2690766358192068,"score_spread":0.2191406274318513,"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."}}