{"id":"W2173401535","doi":"10.1103/revmodphys.89.015002","title":"Entropic uncertainty relations and their applications","year":2017,"lang":"en","type":"article","venue":"Reviews of Modern Physics","topic":"Quantum Information and Cryptography","field":"Computer Science","cited_by":663,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"Sandia National Laboratories; Army Research Office; Natural Sciences and Engineering Research Council of Canada; Institute for Quantum Information and Matter, California Institute of Technology; Stichting voor de Technische Wetenschappen; Nederlandse Organisatie voor Wetenschappelijk Onderzoek; Industry Canada; European Research Council; Gordon and Betty Moore Foundation; University of Sydney; Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung; National Science Foundation","keywords":"Physics; Quantum entanglement; Uncertainty principle; Hilbert space; Duality (order theory); Entropic uncertainty; Theoretical physics; Quantum; Statistical physics; Quantum mechanics; Pure mathematics; Mathematics","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":[0.0001149036,0.00007357784,0.000164785,0.00001877243,0.0002505404,0.000085662,0.0005159779,0.00001973345,0.000003201441],"category_scores_gemma":[0.00001755096,0.00005494417,0.00008313418,0.00006358922,0.00007025795,0.0005288746,0.0001145785,0.00005430548,0.00002646244],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000005247082,"about_ca_system_score_gemma":0.00001717234,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003741402,"about_ca_topic_score_gemma":0.000001398198,"domain_scores_codex":[0.9995197,0.00002048113,0.000205699,0.0001097717,0.00006634366,0.00007799319],"domain_scores_gemma":[0.9987495,0.00002337007,0.0002989913,0.0008196801,0.00006951099,0.00003892813],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"design_other","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[1.995729e-7,0.00001666116,0.0001629571,0.00003110711,0.0000051295,1.120037e-8,0.0002850581,0.00003005675,0.00007406007,0.4404644,0.0001852069,0.5587451],"study_design_scores_gemma":[0.000238989,0.00002205602,0.002401574,0.00007106818,0.00001233633,0.000001510754,0.00001254832,0.216285,0.0002806425,0.5706826,0.2098091,0.0001825114],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.0006591022,0.002110037,0.9921679,0.0004798411,0.00002390836,0.0002596662,0.000004181853,0.00002423671,0.004271138],"genre_scores_gemma":[0.9841281,0.003695904,0.01178358,0.000217275,0.000046675,0.00007973577,0.00000560132,0.000004244666,0.00003892534],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.9834689,"threshold_uncertainty_score":0.2240558,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03007169624812479,"score_gpt":0.2729639161808519,"score_spread":0.2428922199327271,"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."}}