{"id":"https://openalex.org/W4415367228","doi":"https://doi.org/10.1109/isit63088.2025.11195448","title":"Reverse-Type Data Processing Inequality","display_name":"Reverse-Type Data Processing Inequality","publication_year":2025,"publication_date":"2025-06-22","ids":{"openalex":"https://openalex.org/W4415367228","doi":"https://doi.org/10.1109/isit63088.2025.11195448"},"language":null,"primary_location":{"id":"doi:10.1109/isit63088.2025.11195448","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit63088.2025.11195448","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 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/A5115003011","display_name":"Paula Belzig","orcid":null},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Paula Belzig","raw_affiliation_strings":["Institute for Quantum Computing, University of Waterloo,Waterloo,ON,Canada,N2L 3G1"],"affiliations":[{"raw_affiliation_string":"Institute for Quantum Computing, University of Waterloo,Waterloo,ON,Canada,N2L 3G1","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100680294","display_name":"Gao Li","orcid":"https://orcid.org/0000-0001-6649-5796"},"institutions":[{"id":"https://openalex.org/I37461747","display_name":"Wuhan University","ror":"https://ror.org/033vjfk17","country_code":"CN","type":"education","lineage":["https://openalex.org/I37461747"]},{"id":"https://openalex.org/I4210111616","display_name":"Wuhan Business University","ror":"https://ror.org/0282ggx30","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210111616"]},{"id":"https://openalex.org/I75900474","display_name":"Hubei University","ror":"https://ror.org/03a60m280","country_code":"CN","type":"education","lineage":["https://openalex.org/I75900474"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Li Gao","raw_affiliation_strings":["School of Mathematics and Statistics, Wuhan University,Wuhan,Hubei,China,430072"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Wuhan University,Wuhan,Hubei,China,430072","institution_ids":["https://openalex.org/I37461747","https://openalex.org/I75900474","https://openalex.org/I4210111616"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091507257","display_name":"Graeme Smith","orcid":"https://orcid.org/0000-0002-4340-7180"},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Graeme Smith","raw_affiliation_strings":["Institute for Quantum Computing, University of Waterloo,Waterloo,ON,Canada,N2L 3G1"],"affiliations":[{"raw_affiliation_string":"Institute for Quantum Computing, University of Waterloo,Waterloo,ON,Canada,N2L 3G1","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027785401","display_name":"Peixue Wu","orcid":null},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Peixue Wu","raw_affiliation_strings":["Institute for Quantum Computing, University of Waterloo,Waterloo,ON,Canada,N2L 3G1"],"affiliations":[{"raw_affiliation_string":"Institute for Quantum Computing, University of Waterloo,Waterloo,ON,Canada,N2L 3G1","institution_ids":["https://openalex.org/I151746483"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5115003011"],"corresponding_institution_ids":["https://openalex.org/I151746483"],"apc_list":null,"apc_paid":null,"fwci":1.6914,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.88925275,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"6"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.1151999980211258,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.1151999980211258,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T12879","display_name":"Distributed Sensor Networks and Detection Algorithms","score":0.10729999840259552,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.6740999817848206},{"id":"https://openalex.org/keywords/quantum-relative-entropy","display_name":"Quantum relative entropy","score":0.6230999827384949},{"id":"https://openalex.org/keywords/generalized-relative-entropy","display_name":"Generalized relative entropy","score":0.5626000165939331},{"id":"https://openalex.org/keywords/quantum-channel","display_name":"Quantum channel","score":0.5475000143051147},{"id":"https://openalex.org/keywords/kullback\u2013leibler-divergence","display_name":"Kullback\u2013Leibler divergence","score":0.4634000062942505},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.43970000743865967},{"id":"https://openalex.org/keywords/amplitude-damping-channel","display_name":"Amplitude damping channel","score":0.4156999886035919},{"id":"https://openalex.org/keywords/quantum-discord","display_name":"Quantum discord","score":0.3774000108242035},{"id":"https://openalex.org/keywords/quantum-operation","display_name":"Quantum operation","score":0.3774000108242035},{"id":"https://openalex.org/keywords/quantum-state","display_name":"Quantum state","score":0.3736000061035156}],"concepts":[{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.6740999817848206},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6345999836921692},{"id":"https://openalex.org/C24495805","wikidata":"https://www.wikidata.org/wiki/Q7269091","display_name":"Quantum relative entropy","level":5,"score":0.6230999827384949},{"id":"https://openalex.org/C5084201","wikidata":"https://www.wikidata.org/wiki/Q17090689","display_name":"Generalized relative entropy","level":5,"score":0.5626000165939331},{"id":"https://openalex.org/C187486625","wikidata":"https://www.wikidata.org/wiki/Q2122176","display_name":"Quantum channel","level":4,"score":0.5475000143051147},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4634999930858612},{"id":"https://openalex.org/C171752962","wikidata":"https://www.wikidata.org/wiki/Q255166","display_name":"Kullback\u2013Leibler divergence","level":2,"score":0.4634000062942505},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.43970000743865967},{"id":"https://openalex.org/C206040425","wikidata":"https://www.wikidata.org/wiki/Q4748511","display_name":"Amplitude damping channel","level":5,"score":0.4156999886035919},{"id":"https://openalex.org/C43682372","wikidata":"https://www.wikidata.org/wiki/Q7269080","display_name":"Quantum operation","level":4,"score":0.3774000108242035},{"id":"https://openalex.org/C139356082","wikidata":"https://www.wikidata.org/wiki/Q7269038","display_name":"Quantum discord","level":4,"score":0.3774000108242035},{"id":"https://openalex.org/C15706264","wikidata":"https://www.wikidata.org/wiki/Q230883","display_name":"Quantum state","level":3,"score":0.3736000061035156},{"id":"https://openalex.org/C169699857","wikidata":"https://www.wikidata.org/wiki/Q2122243","display_name":"Quantum information","level":3,"score":0.36390000581741333},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.3626999855041504},{"id":"https://openalex.org/C2778926657","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum system","level":3,"score":0.36149999499320984},{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.3495999872684479},{"id":"https://openalex.org/C163415756","wikidata":"https://www.wikidata.org/wiki/Q126473","display_name":"Contraction (grammar)","level":2,"score":0.3287000060081482},{"id":"https://openalex.org/C49023278","wikidata":"https://www.wikidata.org/wiki/Q5260650","display_name":"Dephasing","level":2,"score":0.3179999887943268},{"id":"https://openalex.org/C41241483","wikidata":"https://www.wikidata.org/wiki/Q7269015","display_name":"Quantum capacity","level":5,"score":0.3163999915122986},{"id":"https://openalex.org/C45555294","wikidata":"https://www.wikidata.org/wiki/Q28113351","display_name":"Inequality","level":2,"score":0.3003000020980835},{"id":"https://openalex.org/C180205008","wikidata":"https://www.wikidata.org/wiki/Q159190","display_name":"Amplitude","level":2,"score":0.2996000051498413},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.2955000102519989},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.29249998927116394},{"id":"https://openalex.org/C52622258","wikidata":"https://www.wikidata.org/wiki/Q131222","display_name":"Information theory","level":2,"score":0.2709999978542328},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.2696000039577484},{"id":"https://openalex.org/C166832808","wikidata":"https://www.wikidata.org/wiki/Q254487","display_name":"Generalized entropy index","level":3,"score":0.2630999982357025},{"id":"https://openalex.org/C5320026","wikidata":"https://www.wikidata.org/wiki/Q2122216","display_name":"Quantum information science","level":4,"score":0.2596000134944916},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.25949999690055847},{"id":"https://openalex.org/C152139883","wikidata":"https://www.wikidata.org/wiki/Q252973","display_name":"Mutual information","level":2,"score":0.25920000672340393},{"id":"https://openalex.org/C186080144","wikidata":"https://www.wikidata.org/wiki/Q358733","display_name":"Series expansion","level":2,"score":0.2563000023365021},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.25600001215934753}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit63088.2025.11195448","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit63088.2025.11195448","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W1827592657","https://openalex.org/W1968087916","https://openalex.org/W1977545330","https://openalex.org/W2025693891","https://openalex.org/W2027561650","https://openalex.org/W2059260201","https://openalex.org/W2063702496","https://openalex.org/W2076249063","https://openalex.org/W2080566847","https://openalex.org/W2107587757","https://openalex.org/W2120279831","https://openalex.org/W2141356832","https://openalex.org/W2141412822","https://openalex.org/W2160212841","https://openalex.org/W2210733279","https://openalex.org/W2267479781","https://openalex.org/W2518143623","https://openalex.org/W2524481422","https://openalex.org/W2594901681","https://openalex.org/W3006323515","https://openalex.org/W3097621569","https://openalex.org/W3099252196","https://openalex.org/W3103220749","https://openalex.org/W3167394113","https://openalex.org/W4401693028","https://openalex.org/W4401765916","https://openalex.org/W4406497453"],"related_works":[],"abstract_inverted_index":{"The":[0],"quantum":[1,8,26,59,66,133,157],"data":[2,27],"processing":[3,28],"inequality":[4,29],"asserts":[5],"that":[6,65,89,121,159],"two":[7],"states":[9],"become":[10],"harder":[11],"to":[12,76,108,117],"distinguish":[13],"when":[14],"a":[15,24,39,83,93,99,104],"noisy":[16,40,156],"channel":[17,112],"is":[18,33,64,126],"applied.":[19],"On":[20],"the":[21,36,55,77,149],"other":[22],"hand,":[23],"reverse":[25,94],"characterizes":[30],"whether":[31],"distinguishability":[32],"preserved":[34],"after":[35],"application":[37],"of":[38,54,58,132,153],"channel.":[41],"In":[42],"this":[43,122],"work,":[44],"we":[45,147],"explore":[46],"these":[47],"concepts":[48],"through":[49],"contraction":[50],"and":[51,140],"expansion":[52,85,106,124],"coefficients":[53],"relative":[56,105,114,123],"entropy":[57,115],"channels.":[60,143],"Our":[61],"first":[62,150],"result":[63],"channels":[67,158],"with":[68],"an":[69,145],"input":[70],"dimension":[71,79],"greater":[72],"than":[73],"or":[74],"equal":[75],"output":[78],"do":[80],"not":[81],"have":[82],"non-zero":[84],"coefficient,":[86,107],"which":[87],"means":[88],"they":[90],"cannot":[91],"admit":[92],"data-processing":[95],"inequality.":[96],"We":[97,119],"propose":[98],"comparative":[100],"approach":[101],"by":[102],"introducing":[103],"assess":[109],"how":[110],"one":[111],"expands":[113],"compared":[116],"another.":[118],"show":[120],"coefficient":[125],"positive":[127],"for":[128],"three":[129],"important":[130],"classes":[131],"channels:":[134],"depolarizing":[135],"channels,":[136,139],"generalized":[137],"dephasing":[138],"amplitude":[141],"damping":[142],"As":[144],"application,":[146],"give":[148],"rigorous":[151],"construction":[152],"level-1":[154],"less":[155],"are":[160],"non-degradable.":[161]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-03-07T16:01:11.037858","created_date":"2025-10-21T00:00:00"}
