{"id":"https://openalex.org/W4289655238","doi":"https://doi.org/10.1109/isit50566.2022.9834391","title":"Chain rules for quantum channels","display_name":"Chain rules for quantum channels","publication_year":2022,"publication_date":"2022-06-26","ids":{"openalex":"https://openalex.org/W4289655238","doi":"https://doi.org/10.1109/isit50566.2022.9834391"},"language":"en","primary_location":{"id":"doi:10.1109/isit50566.2022.9834391","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit50566.2022.9834391","pdf_url":null,"source":{"id":"https://openalex.org/S4363604560","display_name":"2022 IEEE International Symposium on Information Theory (ISIT)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 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/A5029170997","display_name":"Mario Berta","orcid":"https://orcid.org/0000-0002-0428-3429"},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]},{"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":["GB","US"],"is_corresponding":true,"raw_author_name":"Mario Berta","raw_affiliation_strings":["Imperial College,Department of Computing,London,UK","California Institute of Technology, Pasadena, USA","AWS Center for Quantum Computing, Pasadena, USA","Department of Computing, Imperial College, London, UK"],"affiliations":[{"raw_affiliation_string":"Imperial College,Department of Computing,London,UK","institution_ids":["https://openalex.org/I47508984"]},{"raw_affiliation_string":"California Institute of Technology, Pasadena, USA","institution_ids":["https://openalex.org/I122411786"]},{"raw_affiliation_string":"AWS Center for Quantum Computing, Pasadena, USA","institution_ids":[]},{"raw_affiliation_string":"Department of Computing, Imperial College, London, UK","institution_ids":["https://openalex.org/I47508984"]}]},{"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/I115455960","display_name":"Centre for Quantum Technologies","ror":"https://ror.org/01mgdzc49","country_code":"SG","type":"facility","lineage":["https://openalex.org/I115455960"]},{"id":"https://openalex.org/I165932596","display_name":"National University of Singapore","ror":"https://ror.org/01tgyzw49","country_code":"SG","type":"education","lineage":["https://openalex.org/I165932596"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Marco Tomamichel","raw_affiliation_strings":["National University of Singapore,Center for Quantum Technologies & Department of Electrical and Computer Engineering,Singapore"],"affiliations":[{"raw_affiliation_string":"National University of Singapore,Center for Quantum Technologies & Department of Electrical and Computer Engineering,Singapore","institution_ids":["https://openalex.org/I115455960","https://openalex.org/I165932596"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5029170997"],"corresponding_institution_ids":["https://openalex.org/I122411786","https://openalex.org/I47508984"],"apc_list":null,"apc_paid":null,"fwci":0.3116,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.49676794,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"2427","last_page":"2432"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":0.9995999932289124,"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":0.9995999932289124,"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/T10622","display_name":"Quantum Mechanics and Applications","score":0.9986000061035156,"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"}},{"id":"https://openalex.org/T12261","display_name":"Statistical Mechanics and Entropy","score":0.9966999888420105,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/divergence","display_name":"Divergence (linguistics)","score":0.8950024843215942},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.6983503103256226},{"id":"https://openalex.org/keywords/chain","display_name":"Chain (unit)","score":0.6535789966583252},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5814639329910278},{"id":"https://openalex.org/keywords/quantum-channel","display_name":"Quantum channel","score":0.5764134526252747},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.5430724620819092},{"id":"https://openalex.org/keywords/chain-rule","display_name":"Chain rule (probability)","score":0.4910731315612793},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.40420448780059814},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.39642202854156494},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.37078261375427246},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3610868453979492},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3429999351501465},{"id":"https://openalex.org/keywords/quantum-information","display_name":"Quantum information","score":0.1959807276725769},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.18345987796783447},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.17187052965164185},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.1662510335445404},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.14220896363258362},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.10900208353996277}],"concepts":[{"id":"https://openalex.org/C207390915","wikidata":"https://www.wikidata.org/wiki/Q1230525","display_name":"Divergence (linguistics)","level":2,"score":0.8950024843215942},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.6983503103256226},{"id":"https://openalex.org/C199185054","wikidata":"https://www.wikidata.org/wiki/Q552299","display_name":"Chain (unit)","level":2,"score":0.6535789966583252},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5814639329910278},{"id":"https://openalex.org/C187486625","wikidata":"https://www.wikidata.org/wiki/Q2122176","display_name":"Quantum channel","level":4,"score":0.5764134526252747},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5430724620819092},{"id":"https://openalex.org/C33825631","wikidata":"https://www.wikidata.org/wiki/Q17004731","display_name":"Chain rule (probability)","level":5,"score":0.4910731315612793},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.40420448780059814},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.39642202854156494},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.37078261375427246},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3610868453979492},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3429999351501465},{"id":"https://openalex.org/C169699857","wikidata":"https://www.wikidata.org/wiki/Q2122243","display_name":"Quantum information","level":3,"score":0.1959807276725769},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.18345987796783447},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.17187052965164185},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.1662510335445404},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.14220896363258362},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.10900208353996277},{"id":"https://openalex.org/C57830394","wikidata":"https://www.wikidata.org/wiki/Q278079","display_name":"Posterior probability","level":3,"score":0.0},{"id":"https://openalex.org/C49698424","wikidata":"https://www.wikidata.org/wiki/Q1989192","display_name":"Law of total probability","level":4,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C107673813","wikidata":"https://www.wikidata.org/wiki/Q812534","display_name":"Bayesian probability","level":2,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit50566.2022.9834391","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit50566.2022.9834391","pdf_url":null,"source":{"id":"https://openalex.org/S4363604560","display_name":"2022 IEEE International Symposium on Information Theory (ISIT)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320311687","display_name":"Ministry of Education","ror":"https://ror.org/03m01yf64"},{"id":"https://openalex.org/F4320320671","display_name":"National Research Foundation","ror":"https://ror.org/05s0g1g46"},{"id":"https://openalex.org/F4320320709","display_name":"National Research Foundation Singapore","ror":"https://ror.org/03cpyc314"},{"id":"https://openalex.org/F4320320751","display_name":"Ministry of Education - Singapore","ror":"https://ror.org/01kcva023"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":59,"referenced_works":["https://openalex.org/W1501376697","https://openalex.org/W1526510614","https://openalex.org/W1557017734","https://openalex.org/W1568529095","https://openalex.org/W1686679909","https://openalex.org/W1798778679","https://openalex.org/W1948605327","https://openalex.org/W1963925013","https://openalex.org/W1968087916","https://openalex.org/W1983071564","https://openalex.org/W1994811895","https://openalex.org/W2004980778","https://openalex.org/W2042036132","https://openalex.org/W2110340204","https://openalex.org/W2122166994","https://openalex.org/W2134705177","https://openalex.org/W2154518298","https://openalex.org/W2168792807","https://openalex.org/W2189660299","https://openalex.org/W2284453335","https://openalex.org/W2338342209","https://openalex.org/W2339425479","https://openalex.org/W2509134767","https://openalex.org/W2743520420","https://openalex.org/W2751541304","https://openalex.org/W2757532613","https://openalex.org/W2885196519","https://openalex.org/W2886418553","https://openalex.org/W2976954692","https://openalex.org/W3012290080","https://openalex.org/W3018341182","https://openalex.org/W3036023667","https://openalex.org/W3045172124","https://openalex.org/W3098995074","https://openalex.org/W3099452807","https://openalex.org/W3099686768","https://openalex.org/W3100230369","https://openalex.org/W3101663526","https://openalex.org/W3102672936","https://openalex.org/W3102697119","https://openalex.org/W3103228084","https://openalex.org/W3103744872","https://openalex.org/W3104492635","https://openalex.org/W3105487888","https://openalex.org/W3105995555","https://openalex.org/W3122882895","https://openalex.org/W3130462805","https://openalex.org/W3165533811","https://openalex.org/W3175618095","https://openalex.org/W4291278293","https://openalex.org/W4297975996","https://openalex.org/W6631533381","https://openalex.org/W6633227300","https://openalex.org/W6695903961","https://openalex.org/W6784576191","https://openalex.org/W6785726622","https://openalex.org/W6786317665","https://openalex.org/W6797388361","https://openalex.org/W6843790247"],"related_works":["https://openalex.org/W3208095355","https://openalex.org/W2177370417","https://openalex.org/W2052507016","https://openalex.org/W2180461068","https://openalex.org/W2051816080","https://openalex.org/W4308756685","https://openalex.org/W4224952023","https://openalex.org/W4289655238","https://openalex.org/W2594134224","https://openalex.org/W2541845002"],"abstract_inverted_index":{"Divergence":[0],"chain":[1,63],"rules":[2,64],"for":[3,65],"channels":[4,66],"relate":[5],"the":[6,15,18,31,39,48,68,82],"divergence":[7,16,49,62],"of":[8,11,17,26],"a":[9,28],"pair":[10],"channel":[12,20,41],"inputs":[13,46],"to":[14,44],"corresponding":[19],"outputs.":[21],"An":[22],"important":[23],"special":[24],"case":[25],"such":[27],"rule":[29],"is":[30,42],"data-processing":[32],"inequality,":[33],"which":[34],"tells":[35],"us":[36],"that":[37],"if":[38],"same":[40],"applied":[43],"both":[45],"then":[47],"cannot":[50],"increase.":[51],"Based":[52],"on":[53],"direct":[54],"matrix":[55],"analysis":[56],"methods,":[57],"we":[58],"derive":[59],"several":[60],"R\u00e9nyi":[61],"in":[67,75,81],"quantum":[69],"setting.":[70],"Our":[71],"results":[72],"simplify":[73],"and":[74],"some":[76],"cases":[77],"generalise":[78],"previous":[79],"derivations":[80],"literature.":[83]},"counts_by_year":[{"year":2025,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}