{"id":"https://openalex.org/W2805558247","doi":"https://doi.org/10.1109/tit.2019.2929564","title":"Entropy Accumulation With Improved Second-Order Term","display_name":"Entropy Accumulation With Improved Second-Order Term","publication_year":2019,"publication_date":"2019-07-18","ids":{"openalex":"https://openalex.org/W2805558247","doi":"https://doi.org/10.1109/tit.2019.2929564","mag":"2805558247"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2019.2929564","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2019.2929564","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":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1805.11652","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Frederic Dupuis","orcid":null},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210121838","display_name":"Laboratoire Lorrain de Recherche en Informatique et ses Applications","ror":"https://ror.org/02vnf0c38","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I277688954","https://openalex.org/I4210107720","https://openalex.org/I4210121838","https://openalex.org/I4210159245","https://openalex.org/I90183372"]},{"id":"https://openalex.org/I90183372","display_name":"Universit\u00e9 de Lorraine","ror":"https://ror.org/04vfs2w97","country_code":"FR","type":"education","lineage":["https://openalex.org/I90183372"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Frederic Dupuis","raw_affiliation_strings":["Universit\u00e9 de Lorraine, CNRS, Inria, LORIA, Nancy, France"],"affiliations":[{"raw_affiliation_string":"Universit\u00e9 de Lorraine, CNRS, Inria, LORIA, Nancy, France","institution_ids":["https://openalex.org/I90183372","https://openalex.org/I4210121838","https://openalex.org/I1294671590"]}]},{"author_position":"last","author":{"id":null,"display_name":"Omar Fawzi","orcid":"https://orcid.org/0000-0001-8491-0359"},"institutions":[{"id":"https://openalex.org/I100532134","display_name":"Universit\u00e9 Claude Bernard Lyon 1","ror":"https://ror.org/029brtt94","country_code":"FR","type":"education","lineage":["https://openalex.org/I100532134","https://openalex.org/I203339264"]},{"id":"https://openalex.org/I113428412","display_name":"\u00c9cole Normale Sup\u00e9rieure de Lyon","ror":"https://ror.org/04zmssz18","country_code":"FR","type":"education","lineage":["https://openalex.org/I113428412","https://openalex.org/I203339264"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Omar Fawzi","raw_affiliation_strings":["Universit\u00e9 de Lyon, ENS de Lyon, CNRS, UCBL, LIP, Lyon, France"],"affiliations":[{"raw_affiliation_string":"Universit\u00e9 de Lyon, ENS de Lyon, CNRS, UCBL, LIP, Lyon, France","institution_ids":["https://openalex.org/I100532134","https://openalex.org/I113428412","https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210121838","https://openalex.org/I90183372"],"apc_list":null,"apc_paid":null,"fwci":3.7547,"has_fulltext":false,"cited_by_count":65,"citation_normalized_percentile":{"value":0.94007144,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"65","issue":"11","first_page":"7596","last_page":"7612"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10622","display_name":"Quantum Mechanics and Applications","score":0.9975000023841858,"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"}},"topics":[{"id":"https://openalex.org/T10622","display_name":"Quantum Mechanics and Applications","score":0.9975000023841858,"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/T10020","display_name":"Quantum Information and Cryptography","score":0.9965000152587891,"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/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9957000017166138,"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/sublinear-function","display_name":"Sublinear function","score":0.7522000074386597},{"id":"https://openalex.org/keywords/von-neumann-entropy","display_name":"Von Neumann entropy","score":0.7264999747276306},{"id":"https://openalex.org/keywords/randomness","display_name":"Randomness","score":0.6151000261306763},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5733000040054321},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.5631999969482422},{"id":"https://openalex.org/keywords/term","display_name":"Term (time)","score":0.49380001425743103},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.4747999906539917},{"id":"https://openalex.org/keywords/conditional-entropy","display_name":"Conditional entropy","score":0.43059998750686646}],"concepts":[{"id":"https://openalex.org/C117160843","wikidata":"https://www.wikidata.org/wiki/Q338652","display_name":"Sublinear function","level":2,"score":0.7522000074386597},{"id":"https://openalex.org/C101973423","wikidata":"https://www.wikidata.org/wiki/Q6961323","display_name":"Von Neumann entropy","level":4,"score":0.7264999747276306},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6694999933242798},{"id":"https://openalex.org/C125112378","wikidata":"https://www.wikidata.org/wiki/Q176640","display_name":"Randomness","level":2,"score":0.6151000261306763},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5733000040054321},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5631999969482422},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.49380001425743103},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4797999858856201},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.4747999906539917},{"id":"https://openalex.org/C101721835","wikidata":"https://www.wikidata.org/wiki/Q813908","display_name":"Conditional entropy","level":3,"score":0.43059998750686646},{"id":"https://openalex.org/C52622258","wikidata":"https://www.wikidata.org/wiki/Q131222","display_name":"Information theory","level":2,"score":0.4138999879360199},{"id":"https://openalex.org/C171752962","wikidata":"https://www.wikidata.org/wiki/Q255166","display_name":"Kullback\u2013Leibler divergence","level":2,"score":0.4115000069141388},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4002000093460083},{"id":"https://openalex.org/C207390915","wikidata":"https://www.wikidata.org/wiki/Q1230525","display_name":"Divergence (linguistics)","level":2,"score":0.3986999988555908},{"id":"https://openalex.org/C288623","wikidata":"https://www.wikidata.org/wiki/Q679800","display_name":"Nyquist\u2013Shannon sampling theorem","level":2,"score":0.37310001254081726},{"id":"https://openalex.org/C144901912","wikidata":"https://www.wikidata.org/wiki/Q471906","display_name":"Quantum cryptography","level":4,"score":0.35929998755455017},{"id":"https://openalex.org/C15927051","wikidata":"https://www.wikidata.org/wiki/Q246593","display_name":"Cryptographic primitive","level":4,"score":0.3573000133037567},{"id":"https://openalex.org/C95611797","wikidata":"https://www.wikidata.org/wiki/Q17502105","display_name":"Infimum and supremum","level":2,"score":0.3246999979019165},{"id":"https://openalex.org/C196083917","wikidata":"https://www.wikidata.org/wiki/Q17103874","display_name":"Min entropy","level":5,"score":0.32260000705718994},{"id":"https://openalex.org/C80469333","wikidata":"https://www.wikidata.org/wiki/Q189088","display_name":"Von Neumann architecture","level":2,"score":0.322299987077713},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.30709999799728394},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.2662999927997589},{"id":"https://openalex.org/C33884865","wikidata":"https://www.wikidata.org/wiki/Q1254335","display_name":"Cryptographic protocol","level":3,"score":0.26269999146461487}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tit.2019.2929564","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2019.2929564","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"},{"id":"pmh:oai:arXiv.org:1805.11652","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1805.11652","pdf_url":"https://arxiv.org/pdf/1805.11652","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:HAL:hal-01925985v2","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-01925985","pdf_url":null,"source":{"id":"https://openalex.org/S4406922466","display_name":"SPIRE - Sciences Po Institutional REpository","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":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Transactions on Information Theory, 2019, &#x27E8;10.1109/TIT.2019.2929564&#x27E9;","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1805.11652","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1805.11652","pdf_url":"https://arxiv.org/pdf/1805.11652","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4959491217","display_name":null,"funder_award_id":"ANR-18-CE47-0011 (ACOM)","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W1508777461","https://openalex.org/W1870070843","https://openalex.org/W1905286351","https://openalex.org/W1955655900","https://openalex.org/W1967872567","https://openalex.org/W1990187371","https://openalex.org/W2004980778","https://openalex.org/W2005097526","https://openalex.org/W2023885784","https://openalex.org/W2038920680","https://openalex.org/W2058302064","https://openalex.org/W2070777984","https://openalex.org/W2084499569","https://openalex.org/W2088855002","https://openalex.org/W2091240287","https://openalex.org/W2092119860","https://openalex.org/W2104340231","https://openalex.org/W2106040759","https://openalex.org/W2106864314","https://openalex.org/W2122166994","https://openalex.org/W2139071790","https://openalex.org/W2144277460","https://openalex.org/W2166302514","https://openalex.org/W2168792807","https://openalex.org/W2216636302","https://openalex.org/W2276299490","https://openalex.org/W2292970846","https://openalex.org/W2494499351","https://openalex.org/W2785593271","https://openalex.org/W6630475842","https://openalex.org/W6637065551","https://openalex.org/W6675379323","https://openalex.org/W6690326824","https://openalex.org/W6730141485","https://openalex.org/W6779475598"],"related_works":[],"abstract_inverted_index":{"The":[0,144],"entropy":[1],"accumulation":[2],"theorem":[3,50,93,118],"states":[4,40],"that":[5,44,111],"the":[6,29,32,56,75,88,97,100,112,117,135,161,168],"smooth":[7],"min-entropy":[8],"of":[9,31,36,58,134,146,174],"an":[10],"n-partite":[11],"system":[12],"A":[13,21],"=":[14],"(A":[15],"<sub":[16,22],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[17,23],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">1</sub>":[18],",":[19],"...,":[20],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">n</sub>":[24],")":[25],"is":[26,51,103,119,127,138,149],"lower-bounded":[27],"by":[28,82,91,129],"sum":[30],"von":[33],"Neumann":[34],"entropies":[35],"suitably":[37],"chosen":[38],"conditional":[39],"up":[41],"to":[42,54,122,150],"corrections":[43],"are":[45,94],"sublinear":[46,154],"in":[47,63,96,107,140],"n.":[48],"This":[49],"particularly":[52],"suited":[53],"proving":[55],"security":[57],"quantum":[59],"cryptographic":[60],"protocols,":[61],"and":[62,71,80,156],"particular":[64],"so-called":[65],"device-independent":[66],"protocols":[67,123],"for":[68],"randomness":[69],"expansion":[70],"key":[72],"distribution,":[73],"where":[74,124],"devices":[76],"can":[77],"be":[78,173],"built":[79],"preprogrammed":[81],"a":[83,109,131],"malicious":[84],"supplier.":[85],"However,":[86],"while":[87],"bounds":[89,113,166],"provided":[90],"this":[92,147,152,158],"optimal":[95],"first":[98],"order,":[99],"second-order":[101,153],"term":[102,155],"bounded":[104],"more":[105],"crudely,":[106],"such":[108],"way":[110],"deteriorate":[114],"significantly":[115],"when":[116],"applied":[120],"directly":[121],"parameter":[125],"estimation":[126],"done":[128,139],"sampling":[130],"small":[132],"fraction":[133],"positions,":[136],"as":[137],"most":[141],"QKD":[142],"protocols.":[143],"objective":[145],"paper":[148],"improve":[151],"remedy":[157],"problem.":[159],"On":[160],"way,":[162],"we":[163],"prove":[164],"various":[165],"on":[167],"divergence":[169],"variance,":[170],"which":[171],"might":[172],"independent":[175],"interest.":[176]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":16},{"year":2024,"cited_by_count":11},{"year":2023,"cited_by_count":11},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":8},{"year":2020,"cited_by_count":9},{"year":2019,"cited_by_count":1}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2018-06-13T00:00:00"}