{"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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002030645,0.0001990889,0.0003527958,0.00002892453,0.0001123426,0.00002854194,0.0001453059,0.000008340657,0.0002592457],"category_scores_gemma":[0.00001036521,0.0001739138,0.0002716374,0.0001278905,0.00004186936,0.0002045763,0.00003160054,0.0001050159,0.0001699183],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003522585,"about_ca_system_score_gemma":0.00003203404,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003079169,"about_ca_topic_score_gemma":2.061072e-7,"domain_scores_codex":[0.9987304,0.0000996602,0.0003440073,0.0003123077,0.0002406318,0.0002729478],"domain_scores_gemma":[0.9992514,0.0001087408,0.0002284827,0.0002419174,0.00008257997,0.00008685872],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00005849986,0.000739585,0.001692635,0.001041581,0.000259032,0.000002816544,0.0004376975,0.00001841753,0.0207613,0.9240278,0.04827276,0.002687854],"study_design_scores_gemma":[0.0104981,0.002067832,0.0673632,0.01276439,0.003586598,0.00004422292,0.0002190041,0.4880135,0.01481973,0.1773612,0.2165921,0.006670116],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5040577,0.001416299,0.4660903,0.01517809,0.001253395,0.006883301,0.0003412236,0.000260739,0.004518948],"genre_scores_gemma":[0.9932418,0.00001472724,0.001765161,0.002766945,0.001461201,0.0004393996,0.000253236,0.00002966427,0.00002780222],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.7466666,"threshold_uncertainty_score":0.7092,"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."}}