{"id":"https://openalex.org/W2887216773","doi":"https://doi.org/10.1109/isit.2018.8437925","title":"Optimized Quantum F-Divergences","display_name":"Optimized Quantum F-Divergences","publication_year":2018,"publication_date":"2018-06-01","ids":{"openalex":"https://openalex.org/W2887216773","doi":"https://doi.org/10.1109/isit.2018.8437925","mag":"2887216773"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2018.8437925","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2018.8437925","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2103.16797","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Mark M. Wilde","orcid":null},"institutions":[{"id":"https://openalex.org/I121820613","display_name":"Louisiana State University","ror":"https://ror.org/05ect4e57","country_code":"US","type":"education","lineage":["https://openalex.org/I121820613"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Mark M. Wilde","raw_affiliation_strings":["Department of Physics and Astronomy, Center for Computation and Technology, Louisiana State University, Hearne Institute for Theoretical Physics, Baton Rouge, Louisiana, 70803, USA"],"affiliations":[{"raw_affiliation_string":"Department of Physics and Astronomy, Center for Computation and Technology, Louisiana State University, Hearne Institute for Theoretical Physics, Baton Rouge, Louisiana, 70803, USA","institution_ids":["https://openalex.org/I121820613"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I121820613"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.12504017,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"2481","last_page":"2485"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11564","display_name":"Mathematical Inequalities and Applications","score":0.9965999722480774,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11564","display_name":"Mathematical Inequalities and Applications","score":0.9965999722480774,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12261","display_name":"Statistical Mechanics and Entropy","score":0.993399977684021,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9527000188827515,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/quantum-relative-entropy","display_name":"Quantum relative entropy","score":0.6227999925613403},{"id":"https://openalex.org/keywords/kullback\u2013leibler-divergence","display_name":"Kullback\u2013Leibler divergence","score":0.6139000058174133},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.5763999819755554},{"id":"https://openalex.org/keywords/quantum-entanglement","display_name":"Quantum entanglement","score":0.5612999796867371},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.5419999957084656},{"id":"https://openalex.org/keywords/quantum-information","display_name":"Quantum information","score":0.525600016117096},{"id":"https://openalex.org/keywords/coherent-information","display_name":"Coherent information","score":0.48820000886917114},{"id":"https://openalex.org/keywords/quantum-channel","display_name":"Quantum channel","score":0.4584999978542328},{"id":"https://openalex.org/keywords/quantum-operation","display_name":"Quantum operation","score":0.41670000553131104},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.41179999709129333}],"concepts":[{"id":"https://openalex.org/C24495805","wikidata":"https://www.wikidata.org/wiki/Q7269091","display_name":"Quantum relative entropy","level":5,"score":0.6227999925613403},{"id":"https://openalex.org/C171752962","wikidata":"https://www.wikidata.org/wiki/Q255166","display_name":"Kullback\u2013Leibler divergence","level":2,"score":0.6139000058174133},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5965999960899353},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5763999819755554},{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.5612999796867371},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.5419999957084656},{"id":"https://openalex.org/C169699857","wikidata":"https://www.wikidata.org/wiki/Q2122243","display_name":"Quantum information","level":3,"score":0.525600016117096},{"id":"https://openalex.org/C184049767","wikidata":"https://www.wikidata.org/wiki/Q5141355","display_name":"Coherent information","level":5,"score":0.48820000886917114},{"id":"https://openalex.org/C187486625","wikidata":"https://www.wikidata.org/wiki/Q2122176","display_name":"Quantum channel","level":4,"score":0.4584999978542328},{"id":"https://openalex.org/C43682372","wikidata":"https://www.wikidata.org/wiki/Q7269080","display_name":"Quantum operation","level":4,"score":0.41670000553131104},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.41179999709129333},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.4000999927520752},{"id":"https://openalex.org/C139356082","wikidata":"https://www.wikidata.org/wiki/Q7269038","display_name":"Quantum discord","level":4,"score":0.3991999924182892},{"id":"https://openalex.org/C41241483","wikidata":"https://www.wikidata.org/wiki/Q7269015","display_name":"Quantum capacity","level":5,"score":0.3725000023841858},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.3644999861717224},{"id":"https://openalex.org/C137019171","wikidata":"https://www.wikidata.org/wiki/Q2623817","display_name":"Quantum algorithm","level":3,"score":0.36309999227523804},{"id":"https://openalex.org/C5084201","wikidata":"https://www.wikidata.org/wiki/Q17090689","display_name":"Generalized relative entropy","level":5,"score":0.351500004529953},{"id":"https://openalex.org/C168090291","wikidata":"https://www.wikidata.org/wiki/Q5128319","display_name":"Classical capacity","level":5,"score":0.34709998965263367},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3465000092983246},{"id":"https://openalex.org/C152139883","wikidata":"https://www.wikidata.org/wiki/Q252973","display_name":"Mutual information","level":2,"score":0.33820000290870667},{"id":"https://openalex.org/C64775481","wikidata":"https://www.wikidata.org/wiki/Q3798613","display_name":"Quantum mutual information","level":5,"score":0.33059999346733093},{"id":"https://openalex.org/C15706264","wikidata":"https://www.wikidata.org/wiki/Q230883","display_name":"Quantum state","level":3,"score":0.3260999917984009},{"id":"https://openalex.org/C52622258","wikidata":"https://www.wikidata.org/wiki/Q131222","display_name":"Information theory","level":2,"score":0.32190001010894775},{"id":"https://openalex.org/C142611142","wikidata":"https://www.wikidata.org/wiki/Q1433083","display_name":"R\u00e9nyi entropy","level":3,"score":0.3188000023365021},{"id":"https://openalex.org/C206040425","wikidata":"https://www.wikidata.org/wiki/Q4748511","display_name":"Amplitude damping channel","level":5,"score":0.31700000166893005},{"id":"https://openalex.org/C2778926657","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum system","level":3,"score":0.3068000078201294},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3052000105381012},{"id":"https://openalex.org/C11255438","wikidata":"https://www.wikidata.org/wiki/Q7269085","display_name":"Quantum process","level":4,"score":0.2953000068664551},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.2870999872684479},{"id":"https://openalex.org/C2987822364","wikidata":"https://www.wikidata.org/wiki/Q2122216","display_name":"Quantum information processing","level":3,"score":0.28600001335144043},{"id":"https://openalex.org/C186468114","wikidata":"https://www.wikidata.org/wiki/Q836478","display_name":"Quantum network","level":4,"score":0.2840999960899353},{"id":"https://openalex.org/C124805900","wikidata":"https://www.wikidata.org/wiki/Q5159269","display_name":"Conditional mutual information","level":3,"score":0.27639999985694885},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2615000009536743},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.25839999318122864},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.257099986076355},{"id":"https://openalex.org/C5320026","wikidata":"https://www.wikidata.org/wiki/Q2122216","display_name":"Quantum information science","level":4,"score":0.2508000135421753},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2508000135421753}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/isit.2018.8437925","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2018.8437925","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:2103.16797","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2103.16797","pdf_url":"https://arxiv.org/pdf/2103.16797","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:repository.lsu.edu:physics_astronomy_pubs-6711","is_oa":false,"landing_page_url":"https://repository.lsu.edu/physics_astronomy_pubs/5631","pdf_url":null,"source":{"id":"https://openalex.org/S4210169993","display_name":"Civil War Book Review","issn_l":"1528-6592","issn":["1528-6592"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310315936","host_organization_name":"Louisiana State University","host_organization_lineage":["https://openalex.org/P4310315936"],"host_organization_lineage_names":["Louisiana State University"],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Faculty Publications","raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2103.16797","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2103.16797","pdf_url":"https://arxiv.org/pdf/2103.16797","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W152055444","https://openalex.org/W1965555277","https://openalex.org/W1968087916","https://openalex.org/W1991311979","https://openalex.org/W2004980778","https://openalex.org/W2007159481","https://openalex.org/W2007737215","https://openalex.org/W2013567929","https://openalex.org/W2027561650","https://openalex.org/W2035972614","https://openalex.org/W2051657238","https://openalex.org/W2069515215","https://openalex.org/W2069527447","https://openalex.org/W2076249063","https://openalex.org/W2105211531","https://openalex.org/W2105957088","https://openalex.org/W2120279831","https://openalex.org/W2122166994","https://openalex.org/W2144180948","https://openalex.org/W2144277460","https://openalex.org/W2151994473","https://openalex.org/W2160505036","https://openalex.org/W2163484647","https://openalex.org/W2168792807","https://openalex.org/W2289204408","https://openalex.org/W2471548350","https://openalex.org/W2912280996","https://openalex.org/W4255333822","https://openalex.org/W6678323213","https://openalex.org/W6695903961","https://openalex.org/W6829269145"],"related_works":[],"abstract_inverted_index":{"The":[0,68],"quantum":[1,12,21,69,78,102,109],"relative":[2,79,87,93,110,141,178],"entropy":[3],"is":[4,16,63,73,156,159,189,198],"a":[5,17,105,161],"measure":[6],"of":[7,10,61,71,76,108,124,146,153,184,195],"the":[8,51,64,77,91,100,117,122,128,138,147,167,173,181],"distinguishability":[9],"two":[11],"states,":[13],"and":[14,34,81,121,175],"it":[15,82,115,188],"unifying":[18],"concept":[19],"in":[20,49],"information":[22,25],"theory:":[23],"many":[24],"measures":[26,36],"such":[27,89],"as":[28,90,104],"entropy,":[29,31,80],"conditional":[30],"mutual":[32],"information,":[33],"entanglement":[35],"can":[37],"be":[38],"realized":[39],"from":[40],"it.":[41],"As":[42],"such,":[43],"there":[44,158],"has":[45],"been":[46],"broad":[47],"interest":[48],"generalizing":[50],"notion":[52],"to":[53,85,133,191],"further":[54],"understand":[55],"its":[56],"most":[57],"basic":[58],"properties,":[59],"one":[60,74,151],"which":[62,187],"data":[65,118,168],"processing":[66,119,169],"inequality.":[67],"f-divergence":[70,103],"Petz":[72],"generalization":[75,107],"also":[83],"leads":[84],"other":[86],"entropies,":[88,179],"Petz-Renyi":[92,174],"entropies.":[94],"In":[95],"this":[96,154,196],"contribution,":[97],"I":[98,112],"introduce":[99],"optimized":[101,148],"related":[106],"entropy.":[111],"prove":[113],"that":[114,157],"satisfies":[116],"inequality,":[120,131],"method":[123],"proof":[125],"relies":[126],"upon":[127],"operator":[129],"Jensen":[130],"similar":[132],"Petz's":[134],"original":[135],"approach.":[136],"Interestingly,":[137],"sandwiched":[139,176],"Renyi":[140,177],"entropies":[142],"are":[143],"particular":[144],"examples":[145],"f-divergence.":[149],"Thus,":[150],"benefit":[152],"approach":[155,164],"now":[160],"single,":[162],"unified":[163],"for":[165,171,180,186],"establishing":[166],"inequality":[170],"both":[172],"full":[182],"range":[183],"parameters":[185],"known":[190],"hold.":[192],"Full":[193],"version":[194],"paper":[197],"accessible":[199],"at":[200],"arXiv:1710.10252":[201]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2018-08-22T00:00:00"}
