{"id":"W2952708901","doi":"10.26421/qic1.3-2","title":"Decomposing finite Abelian groups","year":2001,"lang":"en","type":"article","venue":"Quantum Information and Computation","topic":"Quantum Computing Algorithms and Architecture","field":"Computer Science","cited_by":12,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"","keywords":"Abelian group; Mathematics; Factoring; Elementary abelian group; Cyclic group; Decomposition; Rank of an abelian group; Riemann hypothesis; Order (exchange); Class (philosophy); Product (mathematics); Group (periodic table); Solvable group; Discrete mathematics; Pure mathematics; Combinatorics; Algebra over a field; Computer science; 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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002302555,0.0001364798,0.0001203429,0.0002331437,0.0003124559,0.0004925749,0.0002198025,0.00005125008,0.000004522082],"category_scores_gemma":[0.00002526541,0.0001268934,0.00003772448,0.0004306109,0.0000282744,0.001533118,0.0001087808,0.0001289997,0.00007495745],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001907388,"about_ca_system_score_gemma":0.00002839129,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001901158,"about_ca_topic_score_gemma":0.000001285247,"domain_scores_codex":[0.9990168,0.00004393411,0.0003472049,0.0001572592,0.0002193016,0.000215565],"domain_scores_gemma":[0.9993886,0.0001098994,0.0001598509,0.0001519965,0.0000932517,0.00009644508],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"design_other","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.000009478655,0.00002616421,0.0004605023,0.00002634954,0.00001023347,0.000005297691,0.002868178,0.06676333,0.00002880495,0.06830604,0.0003149212,0.8611807],"study_design_scores_gemma":[0.0003488188,0.00007898478,0.005000681,0.00002551189,0.000002436168,0.00009260522,0.00008240411,0.9752924,0.00002057294,0.01255066,0.006336007,0.0001689276],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2069372,0.00005347702,0.7906588,0.0009803367,0.000296774,0.00009137912,9.484094e-7,0.00026727,0.0007137874],"genre_scores_gemma":[0.9651789,0.00003757099,0.03368214,0.001005909,0.00005491279,0.000003861264,0.0000253836,0.000004522374,0.000006808635],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.908529,"threshold_uncertainty_score":0.5174561,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.009734508865858991,"score_gpt":0.2402801878867882,"score_spread":0.2305456790209292,"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."}}