{"id":"W2078446413","doi":"10.1007/s00020-004-1345-1","title":"Noiseless Subsystems for Collective Rotation Channels in Quantum Information Theory","year":2005,"lang":"en","type":"article","venue":"Integral Equations and Operator Theory","topic":"Quantum Computing Algorithms and Architecture","field":"Computer Science","cited_by":16,"is_retracted":false,"has_abstract":false,"ca_institutions":"Perimeter Institute; University of Waterloo; University of Guelph","funders":"Institut Périmètre de physique théorique","keywords":"Centralizer and normalizer; Mathematics; Rotation (mathematics); Class (philosophy); Operator algebra; Quantum channel; Operator (biology); Quantum; Algebra over a field; Pure mathematics; Channel (broadcasting); Set (abstract data type); Quantum information; Discrete mathematics; Quantum mechanics; Geometry; Computer science; Physics","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":[0.001997883,0.0006305318,0.001404594,0.0008112643,0.001714681,0.002834363,0.001568635,0.002421047,0.004067631],"category_scores_gemma":[0.005718007,0.0005076789,0.0006578944,0.0008883608,0.004387828,0.005889558,0.002230059,0.002745744,0.0004638037],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001157892,"about_ca_system_score_gemma":0.0009055578,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008883313,"about_ca_topic_score_gemma":0.0008934912,"domain_scores_codex":[0.9992504,0.0003745582,0.00003456255,0.00008470616,0.0001818197,0.00007400995],"domain_scores_gemma":[0.9978133,0.001529808,0.0001205782,0.0002614763,0.0001638541,0.0001108159],"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":[0.00001083076,0.000007947958,0.00002869886,0.00001503626,0.000002682048,0.00001089187,0.00005969793,0.003544837,0.0002887936,0.9948902,0.0002724422,0.00086798],"study_design_scores_gemma":[0.000005135019,0.000006334719,0.00002079623,0.000005801573,0.000003318799,0.000008035704,0.00001494456,0.05132447,0.0001549578,0.9480307,0.0004178874,0.000007558384],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1729544,0.003466071,0.7772589,0.006875275,0.0009454905,0.00009756218,0.000167594,0.0002707947,0.03796387],"genre_scores_gemma":[0.9078115,0.001535505,0.07105543,0.0007322956,0.0006942899,0.0002058808,0.0001294221,0.0001564494,0.01767903],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004067631,"threshold_uncertainty_score":0.01360756,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01023759240820715,"score_gpt":0.2425020617703821,"score_spread":0.232264469362175,"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."}}