{"id":"https://openalex.org/W4386113338","doi":"https://doi.org/10.1109/tit.2023.3307437","title":"Error Exponent and Strong Converse for Quantum Soft Covering","display_name":"Error Exponent and Strong Converse for Quantum Soft Covering","publication_year":2023,"publication_date":"2023-08-22","ids":{"openalex":"https://openalex.org/W4386113338","doi":"https://doi.org/10.1109/tit.2023.3307437"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2023.3307437","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2023.3307437","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/A5048882236","display_name":"Hao\u2013Chung Cheng","orcid":"https://orcid.org/0000-0003-4499-4679"},"institutions":[{"id":"https://openalex.org/I16733864","display_name":"National Taiwan University","ror":"https://ror.org/05bqach95","country_code":"TW","type":"education","lineage":["https://openalex.org/I16733864"]},{"id":"https://openalex.org/I4210108919","display_name":"Foxconn (Taiwan)","ror":"https://ror.org/01v3aym70","country_code":"TW","type":"company","lineage":["https://openalex.org/I4210108919"]},{"id":"https://openalex.org/I4210119858","display_name":"National Center for Theoretical Sciences","ror":"https://ror.org/02mfp0b67","country_code":"TW","type":"facility","lineage":["https://openalex.org/I4210119858"]},{"id":"https://openalex.org/I4403386790","display_name":"National Center for Theoretical Sciences, Physics Division","ror":"https://ror.org/02mh1d616","country_code":null,"type":"facility","lineage":["https://openalex.org/I4210119858","https://openalex.org/I4403386790"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Hao-Chung Cheng","raw_affiliation_strings":["the Department of Electrical Engineering, the Department of Mathematics, Center for Quantum Science and Engineering, the Graduate Institute of Communication Engineering, and the Institute of Applied Mathematical Sciences, National Taiwan University, Taipei, Taiwan","Hon Hai (Foxconn) Quantum Computing Center, New Taipei City, Taiwan (R.O.C.)","Department of Electrical Engineering, the Graduate Institute of Communication Engineering, the Department of Mathematics, and the Institute of Applied Mathematical Sciences, and the Center for Quantum Science and Engineering, National Taiwan University, Taipei, Taiwan (R.O.C.)","The Physics Division, National Center for Theoretical Sciences, Taipei, Taiwan (R.O.C.)"],"raw_orcid":"https://orcid.org/0000-0003-4499-4679","affiliations":[{"raw_affiliation_string":"the Department of Electrical Engineering, the Department of Mathematics, Center for Quantum Science and Engineering, the Graduate Institute of Communication Engineering, and the Institute of Applied Mathematical Sciences, National Taiwan University, Taipei, Taiwan","institution_ids":["https://openalex.org/I16733864"]},{"raw_affiliation_string":"Hon Hai (Foxconn) Quantum Computing Center, New Taipei City, Taiwan (R.O.C.)","institution_ids":["https://openalex.org/I4210108919"]},{"raw_affiliation_string":"Department of Electrical Engineering, the Graduate Institute of Communication Engineering, the Department of Mathematics, and the Institute of Applied Mathematical Sciences, and the Center for Quantum Science and Engineering, National Taiwan University, Taipei, Taiwan (R.O.C.)","institution_ids":["https://openalex.org/I16733864"]},{"raw_affiliation_string":"The Physics Division, National Center for Theoretical Sciences, Taipei, Taiwan (R.O.C.)","institution_ids":["https://openalex.org/I4210119858","https://openalex.org/I4403386790"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5070262067","display_name":"Li Gao","orcid":"https://orcid.org/0000-0002-9220-0119"},"institutions":[{"id":"https://openalex.org/I44461941","display_name":"University of Houston","ror":"https://ror.org/048sx0r50","country_code":"US","type":"education","lineage":["https://openalex.org/I44461941"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Li Gao","raw_affiliation_strings":["Department of Mathematics, University of Houston, Houston, TX, USA"],"raw_orcid":"https://orcid.org/0000-0002-9220-0119","affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Houston, Houston, TX, USA","institution_ids":["https://openalex.org/I44461941"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.3247,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.83934003,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"70","issue":"5","first_page":"3499","last_page":"3511"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9991999864578247,"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/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/T10964","display_name":"Wireless Communication Security Techniques","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/codebook","display_name":"Codebook","score":0.9178541898727417},{"id":"https://openalex.org/keywords/exponent","display_name":"Exponent","score":0.6358616948127747},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5774418115615845},{"id":"https://openalex.org/keywords/converse","display_name":"Converse","score":0.4841924011707306},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4364057779312134},{"id":"https://openalex.org/keywords/independent-and-identically-distributed-random-variables","display_name":"Independent and identically distributed random variables","score":0.41600775718688965},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.41333284974098206},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.40460464358329773},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3641950488090515},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.29447686672210693},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1615189015865326}],"concepts":[{"id":"https://openalex.org/C127759330","wikidata":"https://www.wikidata.org/wiki/Q637416","display_name":"Codebook","level":2,"score":0.9178541898727417},{"id":"https://openalex.org/C2780388253","wikidata":"https://www.wikidata.org/wiki/Q5421508","display_name":"Exponent","level":2,"score":0.6358616948127747},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5774418115615845},{"id":"https://openalex.org/C2776809875","wikidata":"https://www.wikidata.org/wiki/Q1375963","display_name":"Converse","level":2,"score":0.4841924011707306},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4364057779312134},{"id":"https://openalex.org/C141513077","wikidata":"https://www.wikidata.org/wiki/Q378542","display_name":"Independent and identically distributed random variables","level":3,"score":0.41600775718688965},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.41333284974098206},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.40460464358329773},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3641950488090515},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.29447686672210693},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1615189015865326},{"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},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2023.3307437","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2023.3307437","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":[],"awards":[{"id":"https://openalex.org/G1135937753","display_name":null,"funder_award_id":"DMS-2154903","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G1314430257","display_name":null,"funder_award_id":"NSTC 112-2119-M-007-006","funder_id":"https://openalex.org/F4320331164","funder_display_name":"National Science and Technology Council"},{"id":"https://openalex.org/G2905872529","display_name":null,"funder_award_id":"NTU-111V1904-3","funder_id":"https://openalex.org/F4320321408","funder_display_name":"Ministry of Education"},{"id":"https://openalex.org/G3412065594","display_name":null,"funder_award_id":"NSTC 112-2124-M-002-003","funder_id":"https://openalex.org/F4320331164","funder_display_name":"National Science and Technology Council"},{"id":"https://openalex.org/G5667509499","display_name":null,"funder_award_id":"NSTC 112-2636-E-002-009","funder_id":"https://openalex.org/F4320331164","funder_display_name":"National Science and Technology Council"},{"id":"https://openalex.org/G6195522313","display_name":null,"funder_award_id":"NSTC 112-2119-M-001-006","funder_id":"https://openalex.org/F4320331164","funder_display_name":"National Science and Technology Council"},{"id":"https://openalex.org/G738129518","display_name":null,"funder_award_id":"NTU-112V1904-4","funder_id":"https://openalex.org/F4320321408","funder_display_name":"Ministry of Education"},{"id":"https://openalex.org/G998500597","display_name":null,"funder_award_id":"NSTC 111-2636-E-002-026","funder_id":"https://openalex.org/F4320331164","funder_display_name":"National Science and Technology Council"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320321408","display_name":"Ministry of Education","ror":"https://ror.org/01p262204"},{"id":"https://openalex.org/F4320331164","display_name":"National Science and Technology Council","ror":"https://ror.org/00wnb9798"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":86,"referenced_works":["https://openalex.org/W639433093","https://openalex.org/W1567144188","https://openalex.org/W1604817450","https://openalex.org/W1745229717","https://openalex.org/W1776233866","https://openalex.org/W1907064244","https://openalex.org/W1963589622","https://openalex.org/W1975618505","https://openalex.org/W1993944611","https://openalex.org/W1998812578","https://openalex.org/W2000270505","https://openalex.org/W2004980778","https://openalex.org/W2007737215","https://openalex.org/W2011008529","https://openalex.org/W2013567929","https://openalex.org/W2014069722","https://openalex.org/W2031420654","https://openalex.org/W2033757125","https://openalex.org/W2035972614","https://openalex.org/W2040211109","https://openalex.org/W2065024926","https://openalex.org/W2103674915","https://openalex.org/W2116543308","https://openalex.org/W2122166994","https://openalex.org/W2134348739","https://openalex.org/W2139236075","https://openalex.org/W2141432745","https://openalex.org/W2162635854","https://openalex.org/W2168792807","https://openalex.org/W2174534725","https://openalex.org/W2548783102","https://openalex.org/W2609234978","https://openalex.org/W2725029573","https://openalex.org/W2762400634","https://openalex.org/W2763740675","https://openalex.org/W2791848241","https://openalex.org/W2900230570","https://openalex.org/W2952297488","https://openalex.org/W2952964344","https://openalex.org/W2962685448","https://openalex.org/W2963645489","https://openalex.org/W2963818496","https://openalex.org/W2963828408","https://openalex.org/W2963902611","https://openalex.org/W2969644469","https://openalex.org/W2975183410","https://openalex.org/W2976784884","https://openalex.org/W3007988816","https://openalex.org/W3016694635","https://openalex.org/W3098108619","https://openalex.org/W3098595855","https://openalex.org/W3099410101","https://openalex.org/W3099562348","https://openalex.org/W3100955123","https://openalex.org/W3101035471","https://openalex.org/W3101663526","https://openalex.org/W3102602776","https://openalex.org/W3103182327","https://openalex.org/W3103744872","https://openalex.org/W3104267834","https://openalex.org/W3104393019","https://openalex.org/W3104789413","https://openalex.org/W3107956026","https://openalex.org/W3128157579","https://openalex.org/W3160869769","https://openalex.org/W4205855417","https://openalex.org/W4213004663","https://openalex.org/W4221163362","https://openalex.org/W4226015764","https://openalex.org/W4226136255","https://openalex.org/W4226197639","https://openalex.org/W4253840677","https://openalex.org/W4285134240","https://openalex.org/W4302366875","https://openalex.org/W4315881297","https://openalex.org/W4367000231","https://openalex.org/W4388900823","https://openalex.org/W4390691320","https://openalex.org/W6767558323","https://openalex.org/W6786265224","https://openalex.org/W6801820144","https://openalex.org/W6810305964","https://openalex.org/W6811176204","https://openalex.org/W6849424405","https://openalex.org/W6852108925","https://openalex.org/W6864952907"],"related_works":["https://openalex.org/W2950656357","https://openalex.org/W2347733609","https://openalex.org/W2066502241","https://openalex.org/W2605475288","https://openalex.org/W2292976891","https://openalex.org/W4240383795","https://openalex.org/W4297848787","https://openalex.org/W4245457074","https://openalex.org/W2128683635","https://openalex.org/W2008809748"],"abstract_inverted_index":{"How":[0],"well":[1],"can":[2],"we":[3,21,103],"approximate":[4,35],"a":[5,11,15,30,41,46,52,87,149],"quantum":[6,24,42,91,134],"channel":[7,76],"output":[8,38,77],"state":[9,39,72],"using":[10,80,148],"random":[12,32,84,150],"codebook":[13,33,85,129],"with":[14,86,110],"certain":[16],"size?":[17],"In":[18,163],"this":[19],"work,":[20],"study":[22],"the":[23,36,58,65,70,74,90,106,116,121,125,128,133,137,155,160,166,176],"soft":[25],"covering":[26],"problem,":[27],"which":[28],"uses":[29],"pairwise-independent":[31],"to":[34,140,165],"target":[37],"of":[40,64,127],"channel.":[43],"We":[44],"establish":[45],"one-shot":[47,53],"error":[48,60,107,112,138,161],"exponent":[49,113],"bound":[50,56],"and":[51,73,82],"strong":[54],"converse":[55],"on":[57],"approximation":[59],"measured":[61],"in":[62,175],"terms":[63],"expected":[66],"trace":[67],"distance":[68],"between":[69],"codebook-induced":[71],"true":[75],"state.":[78],"When":[79],"independent":[81],"identically-distributed":[83],"rate":[88,126],"above":[89,167],"mutual":[92,135],"information":[93,158],"<italic":[94],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[95,100],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">I(X":[96],":":[97],"B)</i>":[98],"<sub":[99],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">\u03c1</sub>":[101],",":[102],"prove":[104],"that":[105],"decays":[108],"exponentially":[109,142],"its":[111],"expressed":[114],"by":[115],"sandwiched":[117,156],"R\u00e9nyi":[118],"information.":[119],"On":[120],"other":[122],"hand,":[123],"when":[124],"size":[130],"is":[131],"below":[132],"information,":[136],"converges":[139],"one":[141],"fast.":[143],"Similar":[144],"results":[145,172],"are":[146],"obtained":[147],"constant":[151],"composition":[152],"codebook,":[153],"whereas":[154],"Augustin":[157],"gives":[159],"exponent.":[162],"addition":[164],"large":[168],"deviation":[169,178],"analysis,":[170],"our":[171],"also":[173],"hold":[174],"moderate":[177],"regime.":[179]},"counts_by_year":[{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2026-07-15T18:14:33.161393","created_date":"2025-10-10T00:00:00"}
