dc.contributor.author Leditzky, Felix dc.contributor.author Datta, Nilanjana dc.date.accessioned 2016-06-16T07:46:02Z dc.date.available 2016-06-16T07:46:02Z dc.date.issued 2016-05-23 dc.identifier.uri https://www.repository.cam.ac.uk/handle/1810/256334 dc.description This is the author accepted manuscript. The final version is available from IEEE via http://dx.doi.org/10.1109/TIT.2016.2571662 en dc.description.abstract The simplest example of a quantum information source with memory is a mixed source, which emits signals entirely from one of two memoryless quantum sources with given $\textit{a priori}$ probabilities. Considering a mixed source consisting of a general one-parameter family of memoryless sources, we derive the second-order asymptotic rate for fixed-length visible source coding. Furthermore, we specialize our main result to a mixed source consisting of two memoryless sources. Our results provide the first example of the second-order asymptotics for a quantum information-processing task employing a resource with memory. For the case of a classical mixed source (using a finite alphabet), our results reduce to those obtained by Nomura and Han. To prove the achievability part of our main result, we introduce universal quantum source codes achieving the second-order asymptotic rates. These are obtained by an extension of Hayashi’s construction of their classical counterparts. en dc.language.iso en en dc.publisher IEEE en dc.rights All Rights Reserved en dc.rights.uri https://www.rioxx.net/licenses/all-rights-reserved/ en dc.subject quantum information en dc.subject source coding en dc.subject mixed source en dc.subject second order asymptotics en dc.subject information spectrum en dc.title Second-Order Asymptotics of Visible Mixed Quantum Source Coding via Universal Codes en dc.type Article en prism.endingPage 4355 en prism.issueIdentifier 7 en prism.publicationName IEEE Transactions on Information Theory en prism.startingPage 4347 en prism.volume 62 en dc.identifier.doi 10.17863/CAM.277 pubs.declined 2017-10-11T13:54:43.847+0100 dcterms.dateAccepted 2016-05-17 rioxxterms.versionofrecord 10.1109/TIT.2016.2571662 en rioxxterms.version AM en
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