{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,8,6]],"date-time":"2025-08-06T12:51:46Z","timestamp":1754484706944,"version":"3.37.3"},"reference-count":52,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"1","license":[{"start":{"date-parts":[[2018,1,1]],"date-time":"2018-01-01T00:00:00Z","timestamp":1514764800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"}],"funder":[{"DOI":"10.13039\/501100001711","name":"Swiss National Science Foundation via the National Centre of Competence in Research QSIT","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100001711","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000181","name":"Air Force Office of Scientific Research","doi-asserted-by":"publisher","award":["FA9550-16-1-0245"],"award-info":[{"award-number":["FA9550-16-1-0245"]}],"id":[{"id":"10.13039\/100000181","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Inform. Theory"],"published-print":{"date-parts":[[2018,1]]},"DOI":"10.1109\/tit.2017.2754921","type":"journal-article","created":{"date-parts":[[2017,9,20]],"date-time":"2017-09-20T18:14:05Z","timestamp":1505931245000},"page":"577-592","source":"Crossref","is-referenced-by-count":15,"title":["Duality of Channels and Codes"],"prefix":"10.1109","volume":"64","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-2302-8025","authenticated-orcid":false,"given":"Joseph M.","family":"Renes","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"263","reference":[{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2015.2468084"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2012.2218792"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2009.2021379"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1007\/s11128-015-0935-y"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1007\/s00220-015-2382-0"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2010.2043769"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2009.5205856"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2011.2162275"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2010.2040961"},{"key":"ref34","first-page":"899","article-title":"Source polarization","author":"arikan","year":"2010","journal-title":"Proc IEEE Int Symp Inf Theory"},{"journal-title":"Bounds on information combining with quantum side information","year":"2017","author":"hirche","key":"ref28"},{"journal-title":"Quantum Computation and Quantum Information","year":"2000","author":"nielsen","key":"ref27"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2009.2030478"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1098\/rspa.2010.0445"},{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.78.032335"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-10698-9_8"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511791338"},{"article-title":"Polar codes for channel and source coding","year":"2009","author":"korada","key":"ref21"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1016\/S0019-9958(67)90302-6"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2004.840883"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1016\/0034-4877(76)90060-4"},{"key":"ref25","volume":"123","author":"helstrom","year":"1976","journal-title":"Quantum Detection and Estimation Theory"},{"key":"ref50","doi-asserted-by":"crossref","first-page":"659","DOI":"10.1038\/nphys1734","article-title":"The uncertainty principle in the presence of quantum memory","volume":"6","author":"renes","year":"2010","journal-title":"Nature Phys"},{"key":"ref51","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.106.110506"},{"article-title":"A framework for non-asymptotic quantum information theory","year":"2012","author":"tomamichel","key":"ref52"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-21891-5"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2009.2032797"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2004.838377"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2009.2025545"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1063\/1.4838855"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1063\/1.4892761"},{"journal-title":"A new quantum version of f-divergence","year":"2013","author":"matsumoto","key":"ref15"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1063\/1.4906367"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.108.200501"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1142\/9789814449243_0008"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2010.2054130"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1109\/JSAC.2015.2504271"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2014.2314463"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.108.210405"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1145\/2897518.2897584"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1063\/1.4838856"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1016\/0034-4877(86)90067-4"},{"key":"ref49","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.103.020402"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1007\/s00220-014-2122-x"},{"key":"ref46","doi-asserted-by":"publisher","DOI":"10.1109\/18.335935"},{"key":"ref45","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-49725-8"},{"key":"ref48","doi-asserted-by":"publisher","DOI":"10.1109\/18.796385"},{"key":"ref47","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2016.2567440"},{"article-title":"Polar coding theorems for discrete systems","year":"2011","author":"?a?o?lu","key":"ref42"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2010.2095072"},{"key":"ref44","first-page":"1","article-title":"Strong converse theorems in quantum information theory","volume":"33","author":"nagaoka","year":"2001","journal-title":"Proc ERATO Conf Quantum Inf Sci"},{"key":"ref43","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2013.2276628"}],"container-title":["IEEE Transactions on Information Theory"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/18\/8232491\/08047296.pdf?arnumber=8047296","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,1,12]],"date-time":"2022-01-12T16:25:55Z","timestamp":1642004755000},"score":1,"resource":{"primary":{"URL":"http:\/\/ieeexplore.ieee.org\/document\/8047296\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,1]]},"references-count":52,"journal-issue":{"issue":"1"},"URL":"https:\/\/doi.org\/10.1109\/tit.2017.2754921","relation":{},"ISSN":["0018-9448","1557-9654"],"issn-type":[{"type":"print","value":"0018-9448"},{"type":"electronic","value":"1557-9654"}],"subject":[],"published":{"date-parts":[[2018,1]]}}}