{"id":"W1967370920","doi":"10.1007/s10440-008-9421-1","title":"Operator Algebraic Formulation of the Stabilizer Formalism for Quantum Error Correction","year":2009,"lang":"en","type":"article","venue":"Acta Applicandae Mathematicae","topic":"Quantum Information and Cryptography","field":"Computer Science","cited_by":6,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo; University of Guelph","funders":"Natural Sciences and Engineering Research Council of Canada; Banff International Research Station for Mathematical Innovation and Discovery; University of Guelph","keywords":"Pauli exclusion principle; Formalism (music); Mathematics; Algebraic number; Centralizer and normalizer; Abelian group; Pure mathematics; Algebra over a field; Operator (biology); Applied mathematics; Quantum mechanics; 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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003739263,0.0001505362,0.0002183835,0.0000900807,0.0001977893,0.00009166669,0.0006793335,0.00007206765,0.00002622394],"category_scores_gemma":[0.00006570948,0.00009952688,0.0001867655,0.0004989188,0.00003987521,0.000641391,0.00006499905,0.0000863343,0.00000922556],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000252799,"about_ca_system_score_gemma":0.00004994584,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002496466,"about_ca_topic_score_gemma":0.000002886995,"domain_scores_codex":[0.998766,0.00002256124,0.0004902328,0.0001798156,0.0003037184,0.0002376669],"domain_scores_gemma":[0.9987335,0.0001330995,0.0002794611,0.000639463,0.0001505399,0.00006397277],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00001702822,0.000113446,0.00003234896,0.00007002259,0.00001320417,3.454702e-8,0.001723374,0.00001909404,0.004100052,0.9777692,0.004292991,0.01184921],"study_design_scores_gemma":[0.001304849,0.0003558916,0.004059144,0.00008633052,0.00003728702,0.00002200987,0.0004514363,0.5846103,0.04187818,0.3496666,0.01712192,0.0004060207],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2448983,0.00001312128,0.7498152,0.001695116,0.0002823247,0.001231591,0.000008121297,0.0001390897,0.001917122],"genre_scores_gemma":[0.989734,0.000002821008,0.009441377,0.0006206029,0.00002745727,0.0001178018,0.000004505789,0.000007678996,0.00004378732],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.7448357,"threshold_uncertainty_score":0.4058588,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01295269649673477,"score_gpt":0.2542687231306308,"score_spread":0.241316026633896,"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."}}