{"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":0.5557,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.73050084,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":97},"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":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.4699999988079071}],"awards":[{"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/G4397348291","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/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":[3,15,36,45,56,82,106,119,136,152,156,176,196,199,201,215],"interest":[4],"in":[5,116],"Shannon":[6],"theory,":[7],"classical":[8,70,107,124,202],"or":[9],"quantum,":[10],"is":[11,161],"the":[12,23,33,79,104,120,123,127,149,153,165,185,193,197,211,221,225,237],"error":[13,38,80,150,194],"exponent":[14,81,151,195],"a":[16,57,75,98,111,133,137,144,189,242],"given":[17,58],"channel":[18,59],"W":[19],"and":[20,64,173,248],"rate":[21,47],"R:":[22],"constant":[24],"<inline-formula":[25],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[26],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">":[27],"<tex-math":[28],"notation=\"LaTeX\">$E(W,R)$":[29],"</tex-math></inline-formula>":[30],"which":[31,89],"governs":[32],"exponential":[34],"decay":[35],"decoding":[37],"when":[39],"using":[40],"ever":[41,52],"larger":[42],"optimal":[43],"codes":[44,180],"fixed":[46],"R":[48],"to":[49,103,164,205,224,236],"communicate":[50],"over":[51,84],"more":[53],"(memoryless)":[54],"instances":[55],"W.":[60],"Nearly":[61],"matching":[62],"lower":[63,76,190],"upper":[65,93,213],"bounds":[66],"are":[67],"well-known":[68],"for":[69,95,181,252],"channels.":[71,108,183],"Here":[72],"I":[73,187],"show":[74],"bound":[77,94,145,160,191,214,227],"on":[78,148,192],"communication":[83],"arbitrary":[85,182],"classical-quantum":[86],"(CQ)":[87],"channels":[88],"matches":[90,210],"Dalai\u2019s":[91],"sphere-packing":[92,212,226],"rates":[96],"above":[97],"critical":[99],"value,":[100],"exactly":[101],"analogous":[102],"case":[105],"This":[109,159],"proves":[110],"conjecture":[112],"made":[113],"by":[114,142,146,229,245],"Holevo":[115],"his":[117],"investigation":[118],"problem.":[121],"Unlike":[122],"case,":[125],"however,":[126],"argument":[128],"does":[129],"not":[130],"proceed":[131],"via":[132,168],"refined":[134],"analysis":[135],"suitable":[138],"decoder,":[139],"but":[140],"instead":[141],"leveraging":[143],"Hayashi":[147],"cryptographic":[154],"task":[155,198],"privacy":[157,238],"amplification.":[158],"then":[162],"related":[163],"coding":[166],"problem":[167],"tight":[169],"entropic":[170],"uncertainty":[171],"relations":[172],"Gallager\u2019s":[174],"method":[175],"constructing":[177],"capacity-achieving":[178],"parity-check":[179],"Along":[184],"way,":[186],"find":[188],"compression":[200],"information":[203,208],"relative":[204],"quantum":[206],"side":[207],"that":[209],"Cheng":[216,230],"et":[217,231],"al.":[218,232],"In":[219],"turn,":[220],"polynomial":[222],"prefactors":[223],"found":[228],"may":[233],"be":[234],"translated":[235],"amplification":[239],"problem,":[240],"sharpening":[241],"recent":[243],"result":[244],"Li,":[246],"Yao,":[247],"Hayashi,":[249],"at":[250],"least":[251],"linear":[253],"randomness":[254],"extractors.":[255]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1}],"updated_date":"2025-12-21T01:58:51.020947","created_date":"2025-10-10T00:00:00"}
