{"id":"W2053939928","doi":"10.1103/physrevlett.92.060402","title":"Quantum Tensor Product Structures are Observable Induced","year":2004,"lang":"en","type":"article","venue":"Physical Review Letters","topic":"Quantum Computing Algorithms and Architecture","field":"Computer Science","cited_by":361,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"","keywords":"Observable; Tensor product; Quantum entanglement; Tensor product of Hilbert spaces; Quantum; Multipartite; Tensor (intrinsic definition); Theoretical physics; Algebraic number; Quantum state; Partition (number theory); Product (mathematics); Physics; Statistical physics; Computer science; Quantum mechanics; Pure mathematics; Mathematics; Tensor contraction; Combinatorics; Geometry; Mathematical analysis","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":[0.002165988,0.0006100552,0.0005346523,0.001402179,0.001638462,0.003503284,0.0009249433,0.001024329,0.004359206],"category_scores_gemma":[0.004790454,0.0005969359,0.0008294209,0.001095405,0.007680681,0.009235945,0.0029698,0.002574843,0.0005986531],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001207125,"about_ca_system_score_gemma":0.0008996376,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005996481,"about_ca_topic_score_gemma":0.0004428272,"domain_scores_codex":[0.9979842,0.0005303856,0.0001152054,0.0003905708,0.0006803599,0.0002993542],"domain_scores_gemma":[0.996027,0.001095395,0.0007699712,0.001007749,0.000740203,0.0003597275],"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":[0.000004743362,0.000004574437,0.00003187087,0.000007337476,0.00000114117,0.00001844467,0.00009179331,0.0003085508,0.000430446,0.9983457,0.00009288979,0.0006624787],"study_design_scores_gemma":[0.000004601337,0.00001531535,0.00008011772,0.000004980054,0.000002496724,0.00005368267,0.00003563073,0.003879288,0.0006250106,0.993591,0.001699894,0.000008081654],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2152217,0.0009481934,0.6409943,0.002464597,0.000342918,0.0001296359,0.0003851276,0.0005781107,0.1389354],"genre_scores_gemma":[0.9382414,0.0005000291,0.05299826,0.0002938881,0.0002519088,0.0001429253,0.0002066028,0.0001146417,0.007250339],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004359206,"threshold_uncertainty_score":0.01458305,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0258821280210665,"score_gpt":0.2759289280124199,"score_spread":0.2500467999913534,"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."}}