{"id":"https://openalex.org/W4404563887","doi":"https://doi.org/10.1109/tit.2024.3500578","title":"Tight Lower Bound on the Error Exponent of Classical-Quantum Channels","display_name":"Tight Lower Bound on the Error Exponent of Classical-Quantum Channels","publication_year":2024,"publication_date":"2024-11-20","ids":{"openalex":"https://openalex.org/W4404563887","doi":"https://doi.org/10.1109/tit.2024.3500578"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2024.3500578","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2024.3500578","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":"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/A5067801862","display_name":"Joseph M. Renes","orcid":"https://orcid.org/0000-0003-2302-8025"},"institutions":[{"id":"https://openalex.org/I4210112966","display_name":"Instituto de F\u00edsica Te\u00f3rica","ror":"https://ror.org/022r8mj40","country_code":"ES","type":"facility","lineage":["https://openalex.org/I134820265","https://openalex.org/I4210112966","https://openalex.org/I63634437"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Joseph M. Renes","raw_affiliation_strings":["Institute for Theoretical Physics, ETH Z&#x00FC;rich, Z&#x00FC;rich, Switzerland"],"raw_orcid":"https://orcid.org/0000-0003-2302-8025","affiliations":[{"raw_affiliation_string":"Institute for Theoretical Physics, ETH Z&#x00FC;rich, Z&#x00FC;rich, Switzerland","institution_ids":["https://openalex.org/I4210112966"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5067801862"],"corresponding_institution_ids":["https://openalex.org/I4210112966"],"apc_list":null,"apc_paid":null,"fwci":0.7168,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.76654593,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":98},"biblio":{"volume":"71","issue":"1","first_page":"530","last_page":"538"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9726999998092651,"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":0.9726999998092651,"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/T10020","display_name":"Quantum Information and Cryptography","score":0.9538000226020813,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/exponent","display_name":"Exponent","score":0.6670078635215759},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5606083273887634},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.5221065282821655},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.4845563471317291},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4667155146598816},{"id":"https://openalex.org/keywords/quantum-channel","display_name":"Quantum channel","score":0.43135493993759155},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3752898573875427},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.34723466634750366},{"id":"https://openalex.org/keywords/quantum-information","display_name":"Quantum information","score":0.3246714472770691},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1913154423236847}],"concepts":[{"id":"https://openalex.org/C2780388253","wikidata":"https://www.wikidata.org/wiki/Q5421508","display_name":"Exponent","level":2,"score":0.6670078635215759},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5606083273887634},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5221065282821655},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.4845563471317291},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4667155146598816},{"id":"https://openalex.org/C187486625","wikidata":"https://www.wikidata.org/wiki/Q2122176","display_name":"Quantum channel","level":4,"score":0.43135493993759155},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3752898573875427},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.34723466634750366},{"id":"https://openalex.org/C169699857","wikidata":"https://www.wikidata.org/wiki/Q2122243","display_name":"Quantum information","level":3,"score":0.3246714472770691},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1913154423236847},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2024.3500578","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2024.3500578","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"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.4699999988079071,"display_name":"Reduced inequalities"}],"awards":[{"id":"https://openalex.org/G2371842977","display_name":null,"funder_award_id":"CRSII5-186364","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"},{"id":"https://openalex.org/G2921455009","display_name":null,"funder_award_id":"20CH21_218782","funder_id":"https://openalex.org/F4320338463","funder_display_name":"CHIST-ERA"},{"id":"https://openalex.org/G3099157369","display_name":null,"funder_award_id":"CRSII5_186364","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G462004892","display_name":null,"funder_award_id":"FA9550-19-1-0202","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G7915354843","display_name":null,"funder_award_id":"20CH21_218782","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320320924","display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung","ror":"https://ror.org/00yjd3n13"},{"id":"https://openalex.org/F4320338279","display_name":"Air Force Office of Scientific Research","ror":"https://ror.org/011e9bt93"},{"id":"https://openalex.org/F4320338463","display_name":"CHIST-ERA","ror":"https://ror.org/00rbzpz17"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W1680923748","https://openalex.org/W1776233866","https://openalex.org/W1907064244","https://openalex.org/W1967948418","https://openalex.org/W1968720171","https://openalex.org/W1970006170","https://openalex.org/W1993944611","https://openalex.org/W2002420498","https://openalex.org/W2008072582","https://openalex.org/W2034274945","https://openalex.org/W2035972614","https://openalex.org/W2040362900","https://openalex.org/W2057180031","https://openalex.org/W2060099520","https://openalex.org/W2071764857","https://openalex.org/W2078289947","https://openalex.org/W2099111195","https://openalex.org/W2105211531","https://openalex.org/W2122166994","https://openalex.org/W2148587342","https://openalex.org/W2154193570","https://openalex.org/W2164253138","https://openalex.org/W2582506661","https://openalex.org/W2764125398","https://openalex.org/W2791848241","https://openalex.org/W3101663526","https://openalex.org/W3190595840","https://openalex.org/W4205855417","https://openalex.org/W4312889713","https://openalex.org/W4382365104","https://openalex.org/W4403407901","https://openalex.org/W6724748965","https://openalex.org/W6873498182"],"related_works":["https://openalex.org/W2056138576","https://openalex.org/W2461874320","https://openalex.org/W1977821353","https://openalex.org/W2064832889","https://openalex.org/W4224105394","https://openalex.org/W2964341622","https://openalex.org/W1808677817","https://openalex.org/W2030528692","https://openalex.org/W3099164702","https://openalex.org/W4292833745"],"abstract_inverted_index":{"A":[0],"fundamental":[1],"quantity":[2],"of":[3,15,29,38,49,75,99,112,129,145,149,169,189,192,194,208],"interest":[4],"in":[5,109],"Shannon":[6],"theory,":[7],"classical":[8,63,100,117,195],"or":[9],"quantum,":[10],"is":[11,154],"the":[12,23,26,72,97,113,116,120,142,146,158,178,186,190,204,214,218,230],"error":[13,31,73,143,187],"exponent":[14,74,144,188],"a":[16,50,68,91,104,126,130,137,182,235],"given":[17,51],"channel":[18,52],"W":[19],"and":[20,57,166,241],"rate":[21,40],"R:":[22],"constant$E(W,R)$which":[24],"governs":[25],"exponential":[27],"decay":[28],"decoding":[30],"when":[32],"using":[33],"ever":[34,45],"larger":[35],"optimal":[36],"codes":[37,173],"fixed":[39],"R":[41],"to":[42,96,157,198,217,229],"communicate":[43],"over":[44,77],"more":[46],"(memoryless)":[47],"instances":[48],"W.":[53],"Nearly":[54],"matching":[55],"lower":[56,69,183],"upper":[58,86,206],"bounds":[59],"are":[60],"well-known":[61],"for":[62,88,174,245],"channels.":[64,101,176],"Here":[65],"I":[66,180],"show":[67],"bound":[70,87,138,153,184,207,220],"on":[71,141,185],"communication":[76],"arbitrary":[78,175],"classical-quantum":[79],"(CQ)":[80],"channels":[81],"which":[82],"matches":[83,203],"Dalai\u2019s":[84],"sphere-packing":[85,205,219],"rates":[89],"above":[90],"critical":[92],"value,":[93],"exactly":[94],"analogous":[95],"case":[98],"This":[102,152],"proves":[103],"conjecture":[105],"made":[106],"by":[107,135,139,222,238],"Holevo":[108],"his":[110],"investigation":[111],"problem.":[114],"Unlike":[115],"case,":[118],"however,":[119],"argument":[121],"does":[122],"not":[123],"proceed":[124],"via":[125,161],"refined":[127],"analysis":[128],"suitable":[131],"decoder,":[132],"but":[133],"instead":[134],"leveraging":[136],"Hayashi":[140],"cryptographic":[147],"task":[148,191],"privacy":[150,231],"amplification.":[151],"then":[155],"related":[156],"coding":[159],"problem":[160],"tight":[162],"entropic":[163],"uncertainty":[164],"relations":[165],"Gallager\u2019s":[167],"method":[168],"constructing":[170],"capacity-achieving":[171],"parity-check":[172],"Along":[177],"way,":[179],"find":[181],"compression":[193],"information":[196,201],"relative":[197],"quantum":[199],"side":[200],"that":[202],"Cheng":[209,223],"et":[210,224],"al.":[211,225],"In":[212],"turn,":[213],"polynomial":[215],"prefactors":[216],"found":[221],"may":[226],"be":[227],"translated":[228],"amplification":[232],"problem,":[233],"sharpening":[234],"recent":[236],"result":[237],"Li,":[239],"Yao,":[240],"Hayashi,":[242],"at":[243],"least":[244],"linear":[246],"randomness":[247],"extractors.":[248]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1}],"updated_date":"2026-08-02T14:50:37.381335","created_date":"2025-10-10T00:00:00"}
