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dc.contributor.authorLiu, Zi-Wen
dc.contributor.authorTakagi, Ryuji
dc.contributor.authorLloyd, Seth
dc.date.accessioned2020-08-13T21:11:09Z
dc.date.available2020-08-13T21:11:09Z
dc.date.issued2019-02
dc.date.submitted2018-08
dc.identifier.issn1751-8121
dc.identifier.urihttps://hdl.handle.net/1721.1/126575
dc.description.abstractQuantum discord measures quantum correlation by comparing the quantum mutual information with the maximal amount of mutual information accessible to a quantum measurement. This paper analyzes the properties of diagonal discord, a simplified version of discord that compares quantum mutual information with the mutual information revealed by a measurement that correspond to the eigenstates of the local density matrices. In contrast to the optimized discord, diagonal discord is easily computable; it also finds connections to thermodynamics and resource theory. Here we further show that, for the generic case of non-degenerate local density matrices, diagonal discord exhibits desirable properties as a preferable discord measure. We employ the theory of resource destroying maps (Liu Z-W et al 2017 Phys. Rev. Lett. 118 060502) to prove that diagonal discord is monotonically nonincreasing under the operation of local discord nongenerating qudit channels, d > 2, and provide numerical evidence that such monotonicity holds for qubit channels as well. We also show that it is continuous, and derive a Fannes-like continuity bound. Our results hold for a variety of simple discord measures generalized from diagonal discord. ©2019 IOP Publishing Ltd.en_US
dc.language.isoen
dc.publisherIOP Publishingen_US
dc.relation.isversionofhttps://dx.doi.org/10.1088/1751-8121/AB0774en_US
dc.rightsCreative Commons Attribution 4.0 International licenseen_US
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/en_US
dc.sourceIOP Publishingen_US
dc.titleDiagonal quantum discorden_US
dc.typeArticleen_US
dc.identifier.citationLiu, Zi-Wen et al., "Diagonal quantum discord." Journal of Physics A: Mathematical and Theoretical 52, 13 (March 2019): no. 135301 doi. 10.1088/1751-8121/ab0774 ©2019 Authorsen_US
dc.contributor.departmentMassachusetts Institute of Technology. Center for Theoretical Physicsen_US
dc.contributor.departmentMassachusetts Institute of Technology. Research Laboratory of Electronicsen_US
dc.contributor.departmentMassachusetts Institute of Technology. Department of Physicsen_US
dc.contributor.departmentMassachusetts Institute of Technology. Department of Mechanical Engineeringen_US
dc.relation.journalJournal of Physics A: Mathematical and Theoreticalen_US
dc.eprint.versionFinal published versionen_US
dc.type.urihttp://purl.org/eprint/type/JournalArticleen_US
eprint.statushttp://purl.org/eprint/status/PeerRevieweden_US
dc.date.updated2020-07-30T17:12:43Z
dspace.date.submission2020-07-30T17:12:46Z
mit.journal.volume52en_US
mit.journal.issue13en_US
mit.licensePUBLISHER_CC


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