{"id":"W1668942716","doi":"10.2139/ssrn.1382662","title":"The von Neumann Entropy of Networks","year":2008,"lang":"en","type":"article","venue":"SSRN Electronic Journal","topic":"Graph theory and applications","field":"Mathematics","cited_by":59,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"Institut Périmètre de physique théorique; Industry Canada; Mitacs; Government of Canada; Canadian Institute for Advanced Research","keywords":"Von Neumann entropy; Mathematics; Statistical physics; Mathematical economics; Mathematical physics; Physics; Quantum mechanics; Quantum entanglement; Quantum","routes":{"ca_aff":true,"ca_fund":true,"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":[0.00264835,0.0005101507,0.001068754,0.002719372,0.001253493,0.003773127,0.001092159,0.001647097,0.003887906],"category_scores_gemma":[0.01192657,0.000579762,0.0005634422,0.001457623,0.005494713,0.009696481,0.00229202,0.001958731,0.0003170641],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001664461,"about_ca_system_score_gemma":0.0009048807,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008528031,"about_ca_topic_score_gemma":0.0006804419,"domain_scores_codex":[0.9985594,0.0005873623,0.00007091746,0.0001958286,0.0004180758,0.0001683829],"domain_scores_gemma":[0.9929107,0.004982299,0.0004872018,0.0006407533,0.0004580977,0.0005210356],"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":[0.00001282536,0.000005645406,0.0001789879,0.0000162814,0.000005902742,0.00001354432,0.00006838448,0.003669884,0.0002000958,0.994518,0.0002434124,0.00106704],"study_design_scores_gemma":[0.000002265927,0.00000299718,0.0001198999,0.000005217089,0.000002193392,0.00001386753,0.00001504435,0.008647062,0.00007167682,0.9907178,0.0003961716,0.000005832992],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6127344,0.004329388,0.2664173,0.01051293,0.0006520634,0.00007085832,0.0007368349,0.0002035814,0.1043427],"genre_scores_gemma":[0.9850048,0.001328598,0.006102737,0.0002485114,0.0007436954,0.00007479946,0.000166073,0.00004709286,0.006283684],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003887906,"threshold_uncertainty_score":0.01400602,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01528840422355427,"score_gpt":0.2585444942038324,"score_spread":0.2432560899802781,"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."}}