{"id":"W2016499704","doi":"10.1088/1751-8113/47/50/505302","title":"On convex optimization problems in quantum information theory","year":2014,"lang":"en","type":"article","venue":"Journal of Physics A Mathematical and Theoretical","topic":"Quantum Information and Cryptography","field":"Computer Science","cited_by":25,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Calgary","funders":"Natural Sciences and Engineering Research Council of Canada; Pacific Institute for the Mathematical Sciences; National Science Foundation","keywords":"Quantum entanglement; Convex optimization; Hermitian matrix; Convex analysis; Proper convex function; Multipartite entanglement; Multipartite; Converse; Convex combination; Quantum information","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001171751,0.00009979772,0.0002187859,0.0001333958,0.00003748603,0.0001422508,0.0002380388,0.00005122827,0.00003889384],"category_scores_gemma":[0.0002700693,0.00006698135,0.00007126064,0.0002197608,0.0001724768,0.0008962509,0.00004729928,0.0001980078,0.0000242996],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000009817086,"about_ca_system_score_gemma":0.00001878628,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":6.088615e-8,"about_ca_topic_score_gemma":7.893719e-9,"domain_scores_codex":[0.9988559,0.0001174055,0.0005165334,0.00006077885,0.0003124302,0.0001369192],"domain_scores_gemma":[0.9989604,0.0004657783,0.0002226369,0.0001398169,0.0001128343,0.00009853661],"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":[0.00001618063,0.0001015931,0.000006523449,0.00004510068,0.000006656332,3.933344e-7,0.0008168925,0.002961596,0.000003936268,0.9899735,0.00001908593,0.006048476],"study_design_scores_gemma":[0.0002944534,0.0001698846,0.00001745627,0.0000616135,0.000003241729,0.00001374428,0.00002978374,0.4285459,0.00004837124,0.5707416,0.00002543767,0.00004854095],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.02870029,0.000005429884,0.9667079,0.0004641352,0.00006134978,0.00007553219,3.890194e-7,0.0000146725,0.003970292],"genre_scores_gemma":[0.9876449,0.000009816871,0.01180356,0.0005037625,0.00003041027,0.000002534628,6.297566e-7,0.000003375837,0.000001041477],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.9589446,"threshold_uncertainty_score":0.273142,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.004552499317748756,"score_gpt":0.1997328045951738,"score_spread":0.1951803052774251,"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."}}