{"id":"https://openalex.org/W2743520420","doi":"https://doi.org/10.1109/isit.2017.8006877","title":"Quantum Markov chains and logarithmic trace inequalities","display_name":"Quantum Markov chains and logarithmic trace inequalities","publication_year":2017,"publication_date":"2017-06-01","ids":{"openalex":"https://openalex.org/W2743520420","doi":"https://doi.org/10.1109/isit.2017.8006877","mag":"2743520420"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2017.8006877","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2017.8006877","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5000275259","display_name":"David Sutter","orcid":"https://orcid.org/0000-0001-9779-8888"},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":true,"raw_author_name":"David Sutter","raw_affiliation_strings":["Institute for Theoretical Physics, ETH, Zurich, Switzerland"],"affiliations":[{"raw_affiliation_string":"Institute for Theoretical Physics, ETH, Zurich, Switzerland","institution_ids":["https://openalex.org/I35440088"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029170997","display_name":"Mario Berta","orcid":"https://orcid.org/0000-0002-0428-3429"},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mario Berta","raw_affiliation_strings":["Institute for Quantum Information and Matter, Caltech, USA"],"affiliations":[{"raw_affiliation_string":"Institute for Quantum Information and Matter, Caltech, USA","institution_ids":["https://openalex.org/I122411786"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5040644995","display_name":"Marco Tomamichel","orcid":"https://orcid.org/0000-0001-5410-3329"},"institutions":[{"id":"https://openalex.org/I129604602","display_name":"University of Sydney","ror":"https://ror.org/0384j8v12","country_code":"AU","type":"education","lineage":["https://openalex.org/I129604602"]},{"id":"https://openalex.org/I4210096034","display_name":"Centre for Quantum Computation and Communication Technology","ror":"https://ror.org/00rnbty21","country_code":"AU","type":"facility","lineage":["https://openalex.org/I1337719021","https://openalex.org/I165143802","https://openalex.org/I2801453606","https://openalex.org/I4210096034","https://openalex.org/I4210132349"]},{"id":"https://openalex.org/I114017466","display_name":"University of Technology Sydney","ror":"https://ror.org/03f0f6041","country_code":"AU","type":"education","lineage":["https://openalex.org/I114017466"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Marco Tomamichel","raw_affiliation_strings":["Centre for Quantum Software and Information, University of Technology, Sydney, Australia","School of Physics, The University of Sydney, Australia"],"affiliations":[{"raw_affiliation_string":"Centre for Quantum Software and Information, University of Technology, Sydney, Australia","institution_ids":["https://openalex.org/I4210096034","https://openalex.org/I114017466"]},{"raw_affiliation_string":"School of Physics, The University of Sydney, Australia","institution_ids":["https://openalex.org/I129604602"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5000275259"],"corresponding_institution_ids":["https://openalex.org/I35440088"],"apc_list":null,"apc_paid":null,"fwci":0.6231,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.77104923,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"54","issue":null,"first_page":"1988","last_page":"1992"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":0.9991999864578247,"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/T10020","display_name":"Quantum Information and Cryptography","score":0.9991999864578247,"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/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9991999864578247,"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/T11262","display_name":"Quantum Mechanics and Non-Hermitian Physics","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.577684760093689},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3591465950012207},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.33692222833633423},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.33320188522338867},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2677350640296936},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.1120595932006836}],"concepts":[{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.577684760093689},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3591465950012207},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.33692222833633423},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.33320188522338867},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2677350640296936},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.1120595932006836}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/isit.2017.8006877","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2017.8006877","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},{"id":"pmh:oai:spiral.imperial.ac.uk:10044/1/64221","is_oa":false,"landing_page_url":"http://hdl.handle.net/10044/1/64221","pdf_url":null,"source":{"id":"https://openalex.org/S4306401396","display_name":"Spiral (Imperial College London)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I47508984","host_organization_name":"Imperial College London","host_organization_lineage":["https://openalex.org/I47508984"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"2017 IEEE International Symposium on Information Theory (ISIT)","raw_type":"Conference Paper"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W245337057","https://openalex.org/W1409569118","https://openalex.org/W1501376697","https://openalex.org/W1561209634","https://openalex.org/W1686679909","https://openalex.org/W1914854949","https://openalex.org/W1947417802","https://openalex.org/W1948605327","https://openalex.org/W1965555277","https://openalex.org/W1968087916","https://openalex.org/W1970957908","https://openalex.org/W2025599743","https://openalex.org/W2042036132","https://openalex.org/W2071849960","https://openalex.org/W2075396368","https://openalex.org/W2105918132","https://openalex.org/W2105957088","https://openalex.org/W2118645726","https://openalex.org/W2122166994","https://openalex.org/W2124512402","https://openalex.org/W2134705177","https://openalex.org/W2164818780","https://openalex.org/W2164957410","https://openalex.org/W2188989666","https://openalex.org/W2189660299","https://openalex.org/W2229752136","https://openalex.org/W2338342209","https://openalex.org/W3098253990","https://openalex.org/W3098857864","https://openalex.org/W3098954601","https://openalex.org/W3100939261","https://openalex.org/W3101013954","https://openalex.org/W3102672936","https://openalex.org/W3103289615","https://openalex.org/W3105995555","https://openalex.org/W6687231639"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2390279801","https://openalex.org/W2358668433","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W2382290278","https://openalex.org/W2478288626","https://openalex.org/W2350741829"],"abstract_inverted_index":{"A":[0],"Markov":[1,42],"chain":[2,43],"is":[3,48,67,107,133],"a":[4,15,49,134],"tripartite":[5],"quantum":[6],"state":[7,50,57,125],"\u03c1":[8,24,44],"<sub":[9,19,25,30,34,45,59,63,90],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[10,20,26,31,35,46,60,64,91],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">ABC</sub>":[11,27,47],"where":[12],"there":[13],"exists":[14],"recovery":[16,117],"map":[17,118],"R":[18,29,58],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">B\u2192BC</sub>":[21,32,61],"such":[22],"that":[23,74,106,119],"=":[28],"(\u03c1":[33,62],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">AB</sub>":[36,65],").":[37],"More":[38],"generally,":[39],"an":[40,115],"approximate":[41],"whose":[51],"distance":[52,76],"to":[53,144,151],"the":[54,83,94,103,110,123,138],"closest":[55],"recovered":[56],")":[66],"small.":[68],"Recently":[69],"it":[70],"has":[71],"been":[72],"shown":[73],"this":[75,99],"can":[77],"be":[78],"bounded":[79],"from":[80,149],"above":[81],"by":[82,101],"conditional":[84],"mutual":[85],"information":[86],"I(A":[87],":":[88],"C|B)":[89],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">\u03c1</sub>":[92],"of":[93,137],"state.":[95],"We":[96],"improve":[97],"on":[98,122],"connection":[100],"deriving":[102],"first":[104],"bound":[105],"tight":[108],"in":[109,130],"commutative":[111],"case":[112],"and":[113],"features":[114],"explicit":[116],"only":[120],"depends":[121],"reduced":[124],"pBC.":[126],"The":[127],"key":[128],"tool":[129],"our":[131],"proof":[132],"multivariate":[135],"extension":[136],"Golden-Thompson":[139],"inequality,":[140],"which":[141],"allows":[142],"us":[143],"extend":[145],"logarithmic":[146],"trace":[147],"inequalities":[148],"two":[150],"arbitrarily":[152],"many":[153],"matrices.":[154]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
