{"id":"W2168814002","doi":"10.4086/toc.2011.v007a002","title":"","year":2011,"lang":"en","type":"article","venue":"Theory of Computing","topic":"Quantum Computing Algorithms and Architecture","field":"Computer Science","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Army Research Office; Natural Sciences and Engineering Research Council of Canada; Canadian Institute for Advanced Research; Institut Périmètre de physique théorique; Industry Canada; Mitacs; Government of Canada","keywords":"Permutation (music); Mathematics; Reduction (mathematics); Combinatorics; Discrete mathematics; Quantum","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.001127378,0.0006884548,0.0005337684,0.000557065,0.001344086,0.002107561,0.001843652,0.001406877,0.01417069],"category_scores_gemma":[0.003473578,0.000361108,0.0009453843,0.000641087,0.001882427,0.003588999,0.00289952,0.002425232,0.004956106],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007449051,"about_ca_system_score_gemma":0.00142818,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008092769,"about_ca_topic_score_gemma":0.001790972,"domain_scores_codex":[0.9989003,0.0002506819,0.00007920872,0.0002810808,0.000300843,0.0001880051],"domain_scores_gemma":[0.9990189,0.00037305,0.00005652444,0.0003652374,0.0001264952,0.0000597205],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","study_design_scores_codex":[0.00005894322,0.0000700105,0.0001839761,0.00009501771,0.00002138262,0.00009132684,0.00010747,0.01426815,0.004170348,0.9100934,0.007402338,0.06343766],"study_design_scores_gemma":[0.00003333155,0.00006235432,0.00007544074,0.00004129453,0.00002875964,0.0002379543,0.00006545748,0.1247361,0.00884657,0.8291411,0.03670076,0.00003094488],"study_design_candidate":"not_applicable","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"other","genre_scores_codex":[0.003484672,0.00008713985,0.9801137,0.0005444511,0.0001867552,0.00005357156,0.0000454259,0.0003232535,0.01516098],"genre_scores_gemma":[0.1056543,0.0003017864,0.8785393,0.0006297342,0.0001114941,0.0002146312,0.0002165296,0.0002958348,0.01403632],"genre_candidate":"other","genre_consensus":null,"teacher_disagreement_score":0.9858293,"threshold_uncertainty_score":0,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02331642237344679,"score_gpt":0.2248634183962579,"score_spread":0.2015469960228111,"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."}}