{"id":"W2064440275","doi":"10.1063/1.2884583","title":"Quantum reference frames and the classification of rotationally invariant maps","year":2008,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Quantum chaos and dynamical systems","field":"Physics and Astronomy","cited_by":16,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo; Perimeter Institute","funders":"","keywords":"Covariant transformation; Reference frame; Quantum; Invariant (physics); Representation (politics); Quantum operation; Generalization; Frame of reference","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":[0.0009930005,0.0003027361,0.000406987,0.001724169,0.001396337,0.001946055,0.0007439386,0.0009091097,0.002662213],"category_scores_gemma":[0.002092739,0.0002106232,0.0004944434,0.0009018148,0.002829166,0.003116156,0.001008992,0.0009086676,0.000329929],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008181557,"about_ca_system_score_gemma":0.0005236758,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001423994,"about_ca_topic_score_gemma":0.0006277018,"domain_scores_codex":[0.9992288,0.0001575166,0.00004754655,0.000141362,0.0002136676,0.0002110078],"domain_scores_gemma":[0.998686,0.0002270387,0.0003779738,0.0002320858,0.000287484,0.0001893184],"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":[0.00001323634,0.000007478577,0.0002200558,0.000007616106,0.000001613767,0.00003181787,0.0002513159,0.0006303641,0.001229369,0.991931,0.0003163173,0.005359738],"study_design_scores_gemma":[0.00001978105,0.0001081086,0.001318921,0.00002294117,0.000008050412,0.0001766098,0.0002879892,0.02285479,0.001759137,0.9598614,0.01354126,0.00004098471],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6924858,0.00226918,0.2468181,0.0009864505,0.0005486655,0.00008706267,0.0002141832,0.0002348308,0.05635584],"genre_scores_gemma":[0.9535522,0.0008309889,0.03546193,0.0001543866,0.0003384214,0.00009011396,0.000200131,0.00007164437,0.009300128],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002662213,"threshold_uncertainty_score":0.008906007,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03570871581753814,"score_gpt":0.2581390169206362,"score_spread":0.2224303011030981,"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."}}