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dc.contributor.authorLeditzky, Felix
dc.contributor.authorDatta, Nilanjana
dc.date.accessioned2016-06-16T07:46:02Z
dc.date.available2016-06-16T07:46:02Z
dc.date.issued2016-05-23
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/256334
dc.descriptionThis is the author accepted manuscript. The final version is available from IEEE via http://dx.doi.org/10.1109/TIT.2016.2571662en
dc.description.abstractThe 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.isoenen
dc.publisherIEEEen
dc.rightsAll Rights Reserveden
dc.rights.urihttps://www.rioxx.net/licenses/all-rights-reserved/en
dc.subjectquantum informationen
dc.subjectsource codingen
dc.subjectmixed sourceen
dc.subjectsecond order asymptoticsen
dc.subjectinformation spectrumen
dc.titleSecond-Order Asymptotics of Visible Mixed Quantum Source Coding via Universal Codesen
dc.typeArticleen
prism.endingPage4355en
prism.issueIdentifier7en
prism.publicationNameIEEE Transactions on Information Theoryen
prism.startingPage4347en
prism.volume62en
dc.identifier.doi10.17863/CAM.277
pubs.declined2017-10-11T13:54:43.847+0100
dcterms.dateAccepted2016-05-17
rioxxterms.versionofrecord10.1109/TIT.2016.2571662en
rioxxterms.versionAMen


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