{"id":"https://openalex.org/W4404260750","doi":"https://doi.org/10.1109/tit.2025.3642733","title":"Semidefinite Optimization of the Quantum Relative Entropy of Channels","display_name":"Semidefinite Optimization of the Quantum Relative Entropy of Channels","publication_year":2025,"publication_date":"2025-12-17","ids":{"openalex":"https://openalex.org/W4404260750","doi":"https://doi.org/10.1109/tit.2025.3642733"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2025.3642733","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2025.3642733","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2410.16362","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5051209574","display_name":"Gereon Ko\u00dfmann","orcid":null},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Gereon Ko\u00dfmann","raw_affiliation_strings":["Institute for Quantum Information, RWTH Aachen University, Aachen, Germany"],"raw_orcid":"https://orcid.org/0009-0001-7912-2347","affiliations":[{"raw_affiliation_string":"Institute for Quantum Information, RWTH Aachen University, Aachen, Germany","institution_ids":["https://openalex.org/I887968799"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5037632925","display_name":"Mark M. Wilde","orcid":"https://orcid.org/0000-0002-3916-4462"},"institutions":[{"id":"https://openalex.org/I205783295","display_name":"Cornell University","ror":"https://ror.org/05bnh6r87","country_code":"US","type":"education","lineage":["https://openalex.org/I205783295"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mark M. Wilde","raw_affiliation_strings":["School of Electrical and Computer Engineering, Cornell University, Ithaca, NY, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical and Computer Engineering, Cornell University, Ithaca, NY, USA","institution_ids":["https://openalex.org/I205783295"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0006188,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"72","issue":"4","first_page":"2378","last_page":"2390"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9473999738693237,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9473999738693237,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12261","display_name":"Statistical Mechanics and Entropy","score":0.9419000148773193,"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/T10964","display_name":"Wireless Communication Security Techniques","score":0.9081000089645386,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"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":0.5981384515762329},{"id":"https://openalex.org/keywords/generalized-relative-entropy","display_name":"Generalized relative entropy","score":0.5489981770515442},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.5387749075889587},{"id":"https://openalex.org/keywords/kullback\u2013leibler-divergence","display_name":"Kullback\u2013Leibler divergence","score":0.4729749262332916},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.435243159532547},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.4125481843948364},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.37205350399017334},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3365771770477295},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.263361394405365},{"id":"https://openalex.org/keywords/quantum-discord","display_name":"Quantum discord","score":0.2411695122718811},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1915169358253479},{"id":"https://openalex.org/keywords/quantum-entanglement","display_name":"Quantum entanglement","score":0.182876855134964}],"concepts":[{"id":"https://openalex.org/C24495805","wikidata":"https://www.wikidata.org/wiki/Q7269091","display_name":"Quantum relative entropy","level":5,"score":0.5981384515762329},{"id":"https://openalex.org/C5084201","wikidata":"https://www.wikidata.org/wiki/Q17090689","display_name":"Generalized relative entropy","level":5,"score":0.5489981770515442},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5387749075889587},{"id":"https://openalex.org/C171752962","wikidata":"https://www.wikidata.org/wiki/Q255166","display_name":"Kullback\u2013Leibler divergence","level":2,"score":0.4729749262332916},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.435243159532547},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.4125481843948364},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.37205350399017334},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3365771770477295},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.263361394405365},{"id":"https://openalex.org/C139356082","wikidata":"https://www.wikidata.org/wiki/Q7269038","display_name":"Quantum discord","level":4,"score":0.2411695122718811},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1915169358253479},{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.182876855134964}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1109/tit.2025.3642733","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2025.3642733","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"},{"id":"pmh:oai:publications.rwth-aachen.de:1033062","is_oa":false,"landing_page_url":"https://publications.rwth-aachen.de/record/1033062","pdf_url":null,"source":{"id":"https://openalex.org/S4306401362","display_name":"RWTH Publications (RWTH Aachen)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I887968799","host_organization_name":"RWTH Aachen University","host_organization_lineage":["https://openalex.org/I887968799"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on information theory 72(4), 2378-2390 (2026). doi:10.1109/TIT.2025.3642733","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:arXiv.org:2410.16362","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2410.16362","pdf_url":"https://arxiv.org/pdf/2410.16362","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":null},{"id":"pmh:oai:arXiv.org:2410.16362","is_oa":true,"landing_page_url":"https://arxiv.org/abs/2410.16362","pdf_url":"https://arxiv.org/pdf/2410.16362","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":"doi:10.48550/arxiv.2410.16362","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2410.16362","pdf_url":null,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2410.16362","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2410.16362","pdf_url":"https://arxiv.org/pdf/2410.16362","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":null},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1477371604","display_name":null,"funder_award_id":"2329662","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G1789509448","display_name":null,"funder_award_id":"948139","funder_id":"https://openalex.org/F4320334678","funder_display_name":"European Research Council"},{"id":"https://openalex.org/G8624586495","display_name":null,"funder_award_id":"2409823","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320332222","display_name":"University of Illinois at Urbana-Champaign","ror":"https://ror.org/047426m28"},{"id":"https://openalex.org/F4320334678","display_name":"European Research Council","ror":"https://ror.org/0472cxd90"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2189660299","https://openalex.org/W2604511775","https://openalex.org/W3103995399","https://openalex.org/W4295884275","https://openalex.org/W2951464937","https://openalex.org/W3101305655","https://openalex.org/W3149090375","https://openalex.org/W2526033863","https://openalex.org/W4385970156","https://openalex.org/W3084241614"],"abstract_inverted_index":{"This":[0],"paper":[1],"introduces":[2],"a":[3,46,108],"method":[4,110],"for":[5,37,53,65,111],"calculating":[6],"the":[7,32,50,54,66,82,99,113],"quantum":[8,17,24,38],"relative":[9,35,55,67,79,114],"entropy":[10,36,56,68,80,115],"of":[11,23,34,49,57,69,86,116],"channels,":[12],"an":[13],"essential":[14],"quantity":[15],"in":[16,31],"channel":[18],"discrimination":[19],"and":[20,41,94],"resource":[21],"theories":[22],"channels.":[25,70,117],"By":[26],"building":[27],"on":[28,77],"recent":[29],"developments":[30],"optimization":[33],"states":[39],"[Ko\u00dfmann":[40],"Schwonnek,":[42],"arXiv:2404.17016],":[43],"we":[44],"introduce":[45],"discretized":[47],"linearization":[48],"integral":[51],"representation":[52],"states,":[58],"enabling":[59],"us":[60],"to":[61,81,107],"handle":[62],"maximization":[63],"tasks":[64],"Our":[71],"approach":[72],"here":[73],"extends":[74],"previous":[75],"work":[76],"minimizing":[78],"more":[83],"complicated":[84],"domain":[85],"maximization.":[87],"It":[88],"also":[89],"provides":[90],"efficiently":[91],"computable":[92],"upper":[93],"lower":[95],"bounds":[96],"that":[97],"sandwich":[98],"true":[100],"value":[101],"with":[102],"any":[103],"desired":[104],"precision,":[105],"leading":[106],"practical":[109],"computing":[112]},"counts_by_year":[],"updated_date":"2026-06-16T09:24:06.705377","created_date":"2024-11-13T00:00:00"}
