{"id":"W2767188896","doi":"10.1103/physrevb.97.085147","title":"Entanglement entropy for (3+1)-dimensional topological order with excitations","year":2018,"lang":"en","type":"article","venue":"Physical review. B./Physical review. B","topic":"Quantum many-body systems","field":"Physics and Astronomy","cited_by":37,"is_retracted":false,"has_abstract":true,"ca_institutions":"Perimeter Institute","funders":"Division of Materials Research; University of Illinois at Urbana-Champaign; Gordon and Betty Moore Foundation; National Science Foundation","keywords":"Quantum entanglement; Topological entropy in physics; Physics; Topological order; Omega; Topology (electrical circuits); Entropy (arrow of time); Symmetry protected topological order; Quantum mechanics; Topological entropy; Order (exchange); Quantum; Combinatorics; Mathematics; Topological quantum number","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":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0004313188,0.0006869602,0.001650906,0.0000469121,0.000349835,0.00006138763,0.0005679014,0.00003476849,0.0008831781],"category_scores_gemma":[0.0001985744,0.0004662085,0.0007867552,0.0007850258,0.0004376569,0.0002632419,0.0001854318,0.0003664524,0.001414833],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00008802328,"about_ca_system_score_gemma":0.0001703598,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003756248,"about_ca_topic_score_gemma":0.000003962673,"domain_scores_codex":[0.9960418,0.0003199667,0.0008469194,0.001020513,0.0008744781,0.0008962718],"domain_scores_gemma":[0.9967026,0.0006644353,0.0005116731,0.00091284,0.0007825253,0.0004259585],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","study_design_scores_codex":[0.0000430716,0.001336097,0.0005336778,0.001530237,0.0002319891,0.00000248971,0.00006647313,0.000003356475,0.001896261,0.95898,0.02885026,0.006526126],"study_design_scores_gemma":[0.003178245,0.003892604,0.001383477,0.01763093,0.002654751,0.00001321684,0.00009877633,0.03149318,0.004687811,0.3830832,0.5491645,0.002719283],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7449768,0.02271151,0.1712676,0.02353963,0.001288463,0.01830547,0.0008235491,0.0005458557,0.01654117],"genre_scores_gemma":[0.985944,0.001003621,0.001659359,0.004304828,0.004356424,0.002025597,0.0003202457,0.00009470482,0.000291261],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.5758967,"threshold_uncertainty_score":0.999779,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02067906608015581,"score_gpt":0.3835982110348766,"score_spread":0.3629191449547208,"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."}}