{"id":"W2060887750","doi":"10.1142/s0219749908003839","title":"ALGEBRAIC FORMULATION OF QUANTUM ERROR CORRECTION","year":2008,"lang":"en","type":"article","venue":"International Journal of Quantum Information","topic":"Quantum Computing Algorithms and Architecture","field":"Computer Science","cited_by":6,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Guelph; University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Quantum error correction; Error detection and correction; Operator (biology); Quantum; Algebraic number; Quantum algorithm; Algebra over a field; Mathematics; Code (set theory); Quantum operation; Computer science; Algorithm; Pure mathematics; Quantum mechanics; Open quantum system; Physics; Mathematical analysis","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009888111,0.0005240441,0.0005612813,0.00101908,0.00117851,0.001858058,0.001313594,0.001059153,0.00712329],"category_scores_gemma":[0.002590105,0.0002335878,0.0006394038,0.001089582,0.003020677,0.003639912,0.002242455,0.002563326,0.001124359],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009573241,"about_ca_system_score_gemma":0.001078058,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001044173,"about_ca_topic_score_gemma":0.0006047019,"domain_scores_codex":[0.9986067,0.0002692178,0.00007583013,0.0001441393,0.0007609416,0.0001431494],"domain_scores_gemma":[0.9988289,0.0003600309,0.0001063943,0.0001943786,0.0004561662,0.00005399305],"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":[0.00000394989,0.000004525153,0.00002745795,0.00002076639,0.000002362732,0.00002692519,0.00004014505,0.001642895,0.0003733185,0.9950564,0.0004645189,0.002336762],"study_design_scores_gemma":[0.000006093349,0.0000228306,0.00004995019,0.00002080128,0.000005134395,0.0001454059,0.00003701795,0.02041965,0.001003494,0.966698,0.01157374,0.00001785168],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.02162999,0.001851665,0.8323617,0.003541243,0.001052785,0.00009485039,0.0002983021,0.0002661688,0.1389033],"genre_scores_gemma":[0.7641488,0.004568405,0.1875714,0.00228105,0.00228489,0.0002453779,0.0003300054,0.0002077167,0.03836234],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.00712329,"threshold_uncertainty_score":0.02382976,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01516936246046275,"score_gpt":0.2553183505539913,"score_spread":0.2401489880935286,"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."}}