{"id":"W1985561277","doi":"10.1063/1.4790405","title":"Dimensions, lengths, and separability in finite-dimensional quantum systems","year":2013,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Quantum Information and Cryptography","field":"Computer Science","cited_by":20,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"","keywords":"Multipartite; Separable space; Separable state; Dimension (graph theory); Invariant (physics); Product (mathematics); Bipartite graph; Quantum state; Regular polygon","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":[0.0008390965,0.0003202854,0.000453443,0.001195789,0.001592573,0.002268367,0.0007750234,0.0007323812,0.003068417],"category_scores_gemma":[0.004601257,0.0004863085,0.0005693218,0.0007986786,0.003412651,0.004111532,0.001740169,0.001350941,0.0002224426],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00175348,"about_ca_system_score_gemma":0.0005465007,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009334725,"about_ca_topic_score_gemma":0.000797908,"domain_scores_codex":[0.9991646,0.000229251,0.00006497694,0.0001592852,0.0002341158,0.0001477385],"domain_scores_gemma":[0.9971622,0.001412441,0.0005466074,0.0004319247,0.0001776981,0.0002691485],"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":[0.000174136,0.0000660811,0.004057982,0.00006785007,0.00003565012,0.00006251631,0.000443599,0.0266963,0.008389011,0.9533628,0.000801386,0.005842734],"study_design_scores_gemma":[0.00002799788,0.00005530068,0.00414492,0.0000305948,0.00001734768,0.0001038662,0.0001827527,0.1904931,0.008274769,0.7945351,0.002045036,0.00008917075],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9438949,0.0003851668,0.04588528,0.0004306629,0.00002703976,0.00001585895,0.000242284,0.0001383242,0.008980585],"genre_scores_gemma":[0.9883661,0.00008328401,0.01054902,0.00003924682,0.00002685931,0.00003728544,0.0001391105,0.00002632185,0.0007326942],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003068417,"threshold_uncertainty_score":0.01272243,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0150648761320221,"score_gpt":0.2390761622094948,"score_spread":0.2240112860774727,"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."}}