{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,13]],"date-time":"2025-12-13T06:47:20Z","timestamp":1765608440161,"version":"3.37.3"},"reference-count":78,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"10","license":[{"start":{"date-parts":[[2014,10,1]],"date-time":"2014-10-01T00:00:00Z","timestamp":1412121600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"}],"funder":[{"name":"Minister of Education, Culture, Sports, Science and Technology, Grant-in-Aid for Young Scientists (A)","award":["20686026"],"award-info":[{"award-number":["20686026"]}]},{"name":"Grant-in-Aid for Scientific Research (A)","award":["23246071"],"award-info":[{"award-number":["23246071"]}]},{"name":"National Institute of Information and Communication Technology, Japan"},{"name":"National Research Foundation, Singapore Ministry of Education through the Research Centres of Excellence Programme"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Inform. Theory"],"published-print":{"date-parts":[[2014,10]]},"DOI":"10.1109\/tit.2014.2337884","type":"journal-article","created":{"date-parts":[[2014,8,6]],"date-time":"2014-08-06T14:30:37Z","timestamp":1407335437000},"page":"6702-6732","source":"Crossref","is-referenced-by-count":25,"title":["Large Deviation Analysis for Quantum Security via Smoothing of R\u00e9nyi Entropy of Order 2"],"prefix":"10.1109","volume":"60","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-3104-1000","authenticated-orcid":false,"given":"Masahito","family":"Hayashi","sequence":"first","affiliation":[]}],"member":"263","reference":[{"journal-title":"Mathematical Foundations of Information Theory","year":"1957","author":"khinchin","key":"ref73"},{"key":"ref72","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.86.5184"},{"article-title":"Security analysis of \\(\\varepsilon \\) -almost dual universal2 hash functions","year":"0","author":"hayashi","key":"ref71"},{"key":"ref70","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2003.809563"},{"key":"ref76","doi-asserted-by":"publisher","DOI":"10.1109\/18.651037"},{"key":"ref77","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.56.131"},{"year":"2007","author":"watanabe","key":"ref39"},{"key":"ref74","doi-asserted-by":"publisher","DOI":"10.1063\/1.4838856"},{"key":"ref38","doi-asserted-by":"crossref","first-page":"407","DOI":"10.1007\/978-3-540-30576-7_22","article-title":"Universally composable privacy amplification against quantum adversaries","volume":"3378","author":"renner","year":"2005","journal-title":"Cryptography (Lecture Notes in Computer Science)"},{"key":"ref75","first-page":"731","article-title":"A duality relation connecting different quantum generalizations of the conditional Renyi entropy","author":"tomamichel","year":"2014","journal-title":"Proc IEEE Int Symp Inf Theory (ISIT)"},{"key":"ref78","doi-asserted-by":"publisher","DOI":"10.1007\/BF01646490"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1016\/S0019-9958(67)90052-6"},{"journal-title":"Information-spectrum methods in information theory","year":"2002","author":"han","key":"ref32"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2008.928985"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2010.2043769"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2011.2158473"},{"key":"ref36","doi-asserted-by":"crossref","first-page":"2117","DOI":"10.1109\/18.868482","article-title":"The reliability functions of the general source with fixed-length coding","volume":"46","author":"han","year":"2000","journal-title":"IEEE Trans Inf Theory"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2006.871040"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511921889"},{"key":"ref60","doi-asserted-by":"publisher","DOI":"10.1109\/TIFS.2011.2158422"},{"key":"ref62","doi-asserted-by":"publisher","DOI":"10.1587\/transfun.E93.A.1976"},{"key":"ref61","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2013.6620701"},{"key":"ref63","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2012.2184075"},{"key":"ref28","first-page":"689","article-title":"Asymptotische abschätzugen in Shannon’s informationstheorie","author":"strassen","year":"1962","journal-title":"Proc Trans 3rd Prague Conf Inf Theory"},{"key":"ref64","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2010.2081210"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2013.2276628"},{"key":"ref65","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2011.2165807"},{"key":"ref66","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-540-85093-9_9"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2009.2030478"},{"key":"ref67","doi-asserted-by":"publisher","DOI":"10.1109\/18.825796"},{"key":"ref68","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-540-24676-3_8"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1016\/0022-0000(81)90033-7"},{"key":"ref69","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4615-2694-0_27"},{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1016\/0022-0000(79)90044-8"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.76.062301"},{"article-title":"Security of quantum key distribution","year":"2005","author":"renner","key":"ref22"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1137\/S0097539793244708"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2012.6284690"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1098\/rspa.2004.1372"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2006.889463"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-57997-4"},{"key":"ref50","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2012.6284691"},{"key":"ref51","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2006.872976"},{"key":"ref59","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511977985"},{"key":"ref58","doi-asserted-by":"publisher","DOI":"10.1109\/IJCB.2011.6117543"},{"key":"ref57","doi-asserted-by":"publisher","DOI":"10.1109\/IIHMSP.2010.91"},{"journal-title":"Information Theoretic Security","year":"2009","author":"liang","key":"ref56"},{"key":"ref55","doi-asserted-by":"crossref","first-page":"294","DOI":"10.1007\/978-3-642-32009-5_18","article-title":"Semantic security for the wiretap channel","volume":"7417","author":"bellare","year":"2012","journal-title":"Advances in Cryptology (Lecture Notes in Computer Science)"},{"key":"ref54","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2013.6620721"},{"key":"ref53","doi-asserted-by":"publisher","DOI":"10.1109\/ITA.2014.6804255"},{"key":"ref52","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2013.6620720"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1093\/ietfec\/e89-a.7.2036"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1002\/j.1538-7305.1975.tb02040.x"},{"key":"ref11","doi-asserted-by":"crossref","first-page":"199","DOI":"10.1007\/11593447_11","article-title":"Simple and tight bounds for information reconciliation and privacy amplification","volume":"3788","author":"renner","year":"2005","journal-title":"Advances in Cryptology (Lecture Notes in Computer Science)"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1145\/1060590.1060688"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-540-78524-8_26"},{"journal-title":"Quantum Information An Introduction","year":"2006","author":"hayashi","key":"ref14"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1088\/0305-4470\/35\/50\/307"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.76.012329"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2013.2278971"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2011.2110950"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2013.2250576"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1109\/18.476316"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1109\/SCT.1990.113957"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1109\/18.256484"},{"journal-title":"Matrix Computation","year":"1996","author":"golub","key":"ref5"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1007\/3-540-48658-5_15"},{"key":"ref49","doi-asserted-by":"publisher","DOI":"10.1088\/0305-4470\/36\/2\/316"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1109\/18.243431"},{"journal-title":"Information Theory and Reliable Communication","year":"1968","author":"gallager","key":"ref9"},{"article-title":"More efficient privacy amplification with non-uniform random seeds via dual universal","year":"0","author":"hayashi","key":"ref46"},{"key":"ref45","doi-asserted-by":"publisher","DOI":"10.1098\/rspa.2004.1372"},{"key":"ref48","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-03311-7","author":"dembo","year":"2010","journal-title":"Large Deviations Techniques and Applications"},{"key":"ref47","article-title":"Holder inequality","author":"kuptsov","year":"2001","journal-title":"Encyclopaedia of Mathematics"},{"key":"ref42","first-page":"48","article-title":"Almost independence and secrecy capacity","volume":"32","author":"csisz\u00e1r","year":"1996","journal-title":"Problems Inf Transmiss"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.1978.1055892"},{"key":"ref44","doi-asserted-by":"publisher","DOI":"10.1109\/18.370121"},{"key":"ref43","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.66.032321"}],"container-title":["IEEE Transactions on Information Theory"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/18\/6895347\/06872563.pdf?arnumber=6872563","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,1,12]],"date-time":"2022-01-12T11:51:19Z","timestamp":1641988279000},"score":1,"resource":{"primary":{"URL":"http:\/\/ieeexplore.ieee.org\/document\/6872563\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,10]]},"references-count":78,"journal-issue":{"issue":"10"},"URL":"https:\/\/doi.org\/10.1109\/tit.2014.2337884","relation":{},"ISSN":["0018-9448","1557-9654"],"issn-type":[{"type":"print","value":"0018-9448"},{"type":"electronic","value":"1557-9654"}],"subject":[],"published":{"date-parts":[[2014,10]]}}}