{"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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000155313,0.0002735432,0.000465877,0.00004145752,0.000155734,0.000108011,0.001021157,0.00001060508,0.000002716915],"category_scores_gemma":[0.0001049269,0.0001993504,0.0002063537,0.0005540248,0.00004809281,0.0002180062,0.0002402906,0.0003807209,0.0000796033],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000436273,"about_ca_system_score_gemma":0.0000465438,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003158824,"about_ca_topic_score_gemma":7.712541e-7,"domain_scores_codex":[0.9981558,0.00008872006,0.0002481879,0.0006466592,0.0004070644,0.0004535388],"domain_scores_gemma":[0.9987339,0.00006196018,0.0001727108,0.0008409984,0.00005382665,0.0001365973],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"bench_or_experimental","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00002645749,0.001685076,0.0007637785,0.009268257,0.0004378064,0.0008167566,0.003458233,0.09939779,0.3291735,0.2189475,0.03249314,0.3035316],"study_design_scores_gemma":[0.005133673,0.001368505,0.122417,0.02501905,0.0004529648,0.000712305,0.00004327111,0.4331394,0.05364798,0.2536294,0.0959578,0.008478655],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9083229,0.004216893,0.01661661,0.06951765,0.0004614201,0.0004778965,0.000002654059,0.0003530226,0.00003091642],"genre_scores_gemma":[0.9526669,0.0002496201,0.01268089,0.03373086,0.0006185168,0.00002367406,0.000002747281,0.00002322436,0.000003583704],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3337416,"threshold_uncertainty_score":0.8129273,"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."}}