{"id":"W2074194762","doi":"10.1103/physrevlett.106.080403","title":"Markov Entropy Decomposition: A Variational Dual for Quantum Belief Propagation","year":2011,"lang":"en","type":"article","venue":"Physical Review Letters","topic":"Quantum many-body systems","field":"Physics and Astronomy","cited_by":59,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Sherbrooke","funders":"","keywords":"Upper and lower bounds; Hamiltonian (control theory); Subadditivity; Quantum; Von Neumann entropy; Belief propagation; Entropy maximization; Quantum mechanics; Physics; Mathematics; Statistical physics; Mathematical physics; Discrete mathematics; Principle of maximum entropy; Quantum entanglement; Mathematical analysis; Mathematical optimization","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":[0.002545034,0.0007446273,0.0009678085,0.001016664,0.0008729824,0.002453665,0.001495386,0.001647902,0.004628764],"category_scores_gemma":[0.007213738,0.000525962,0.0009620722,0.0008556108,0.002832507,0.003643164,0.0024438,0.0034134,0.0005915778],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002224193,"about_ca_system_score_gemma":0.001419151,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001839612,"about_ca_topic_score_gemma":0.001858158,"domain_scores_codex":[0.9987968,0.0005089914,0.00004711911,0.0001483043,0.0003313544,0.0001673745],"domain_scores_gemma":[0.9967932,0.002222858,0.0002351398,0.0002410966,0.0002851531,0.0002225356],"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":[0.00001835273,0.00001925594,0.0001413548,0.00003922697,0.00001438812,0.0000294452,0.00005755641,0.05812366,0.0007533239,0.935831,0.0009565376,0.004015894],"study_design_scores_gemma":[0.000005956576,0.00000794403,0.00005175344,0.00001259709,0.000004336739,0.00001352058,0.000008965413,0.419943,0.0002750033,0.5789283,0.0007383443,0.00001044907],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.02105847,0.000551395,0.9623492,0.001733379,0.0001308118,0.00003408959,0.0001663278,0.00007024344,0.01390619],"genre_scores_gemma":[0.7572356,0.001023878,0.2275755,0.000975466,0.0006894957,0.0002973219,0.0003508354,0.000267256,0.01158475],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004628764,"threshold_uncertainty_score":0.01613772,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02090814663202025,"score_gpt":0.2875836593629744,"score_spread":0.2666755127309541,"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."}}