{"id":"W1982481617","doi":"10.1103/physreva.90.062317","title":"Permutation-invariant quantum codes","year":2014,"lang":"en","type":"article","venue":"Physical Review A","topic":"Quantum Computing Algorithms and Architecture","field":"Computer Science","cited_by":95,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"Ministry of Education - Singapore","keywords":"Physics; Hilbert space; Decoherence-free subspaces; Quantum error correction; Invariant (physics); Subspace topology; Quantum information; Quantum; Quantum mechanics; Discrete mathematics; Mathematics","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":[0.0009980885,0.0004286565,0.0005490303,0.0009988415,0.0008831982,0.001557879,0.001068933,0.0007594777,0.003397557],"category_scores_gemma":[0.00540336,0.0002027001,0.0005655115,0.001471185,0.002497424,0.001946221,0.001036361,0.001096489,0.0007955465],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001137019,"about_ca_system_score_gemma":0.001499817,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001637558,"about_ca_topic_score_gemma":0.0009328164,"domain_scores_codex":[0.9984296,0.0003440561,0.00009913551,0.0002865114,0.0005637381,0.0002769934],"domain_scores_gemma":[0.9959427,0.001284239,0.0004124234,0.001212196,0.0009952327,0.0001531228],"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":[0.00004528401,0.00001447305,0.0002730473,0.00003927161,0.000007348012,0.00004326788,0.00006752944,0.01959397,0.002889203,0.9566509,0.001244673,0.0191311],"study_design_scores_gemma":[0.000032952,0.00007867179,0.0003329609,0.00002786664,0.00001387635,0.0001694891,0.00003616075,0.135386,0.007978779,0.8459424,0.009949738,0.00005110311],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1257355,0.0009211613,0.8348084,0.0007368173,0.0002532232,0.0001955095,0.0007334017,0.0005330901,0.03608285],"genre_scores_gemma":[0.8018853,0.001417178,0.1836662,0.000274775,0.0002383403,0.000217571,0.0006021807,0.0001494836,0.01154893],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.003397557,"threshold_uncertainty_score":0.01136595,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01084684339432799,"score_gpt":0.2772325837429466,"score_spread":0.2663857403486186,"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."}}