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dc.contributor.authorSutter, David
dc.contributor.authorTomamichel, Marco
dc.contributor.authorHarrow, Aram W
dc.date.accessioned2017-04-14T19:07:30Z
dc.date.available2017-04-14T19:07:30Z
dc.date.issued2016-03
dc.identifier.issn0018-9448
dc.identifier.issn1557-9654
dc.identifier.urihttp://hdl.handle.net/1721.1/108178
dc.description.abstractThe quantum relative entropy between two states satisfies a monotonicity property meaning that applying the same quantum channel to both states can never increase their relative entropy. It is known that this inequality is only tight when there is a recovery map that exactly reverses the effects of the quantum channel on both states. In this paper, we strengthen this inequality by showing that the difference of relative entropies is bounded below by the measured relative entropy between the first state and a recovered state from its processed version. The recovery map is a convex combination of rotated Petz recovery maps and perfectly reverses the quantum channel on the second state. As a special case, we reproduce recent lower bounds on the conditional mutual information, such as the one proved by Fawzi and Renner. Our proof only relies on the elementary properties of pinching maps and the operator logarithm.en_US
dc.description.sponsorshipNational Science Foundation (U.S.) (CF-1111382)en_US
dc.description.sponsorshipNational Science Foundation (U.S.) (CF-1452616)en_US
dc.description.sponsorshipUnited States. Army Research Office (W911NF-12-1- 0486)en_US
dc.language.isoen_US
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE)en_US
dc.relation.isversionofhttp://dx.doi.org/10.1109/tit.2016.2545680en_US
dc.rightsCreative Commons Attribution-Noncommercial-Share Alikeen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/4.0/en_US
dc.sourcearXiven_US
dc.titleStrengthened Monotonicity of Relative Entropy via Pinched Petz Recovery Mapen_US
dc.typeArticleen_US
dc.identifier.citationSutter, David; Tomamichel, Marco and Harrow, Aram W. “Strengthened Monotonicity of Relative Entropy via Pinched Petz Recovery Map.” IEEE Transactions on Information Theory 62, no. 5 (May 2016): 2907–2913.en_US
dc.contributor.departmentMassachusetts Institute of Technology. Department of Physicsen_US
dc.contributor.mitauthorHarrow, Aram W
dc.relation.journalIEEE Transactions on Information Theoryen_US
dc.eprint.versionAuthor's final manuscripten_US
dc.type.urihttp://purl.org/eprint/type/JournalArticleen_US
eprint.statushttp://purl.org/eprint/status/PeerRevieweden_US
dspace.orderedauthorsSutter, David; Tomamichel, Marco; Harrow, Aram W.en_US
dspace.embargo.termsNen_US
dc.identifier.orcidhttps://orcid.org/0000-0003-3220-7682
mit.licenseOPEN_ACCESS_POLICYen_US


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