Generalized conditional entropy optimization for qudit-qubit states

cic.isFulltexttruees
cic.isPeerReviewedtruees
cic.lugarDesarrolloUniversidad Nacional de La Plata es
cic.versioninfo:eu-repo/semantics/submittedVersiones
dc.date.accessioned2016-09-13T11:22:30Z
dc.date.available2016-09-13T11:22:30Z
dc.identifier.urihttps://digital.cic.gba.gob.ar/handle/11746/4216
dc.titleGeneralized conditional entropy optimization for qudit-qubit statesen
dc.typeArtículoes
dcterms.abstractWe derive a general approximate solution to the problem of minimizing the conditional entropy of a quditqubit system resulting from a local measurement on the qubit, which is valid for general entropic forms and becomes exact in the limit of weak correlations. This entropy measures the average conditional mixedness of the postmeasurement state of the qudit, and its minimum among all local measurements represents a generalized entanglement of formation. In the case of the von Neumann entropy, it is directly related to the quantum discord. It is shown that at the lowest nontrivial order, the problem reduces to the minimization of a quadratic form determined by the correlation tensor of the system, the Bloch vector of the qubit and the local concavity of the entropy, requiring just the diagonalization of a 3 × 3 matrix. A simple geometrical picture in terms of an associated correlation ellipsoid is also derived, which illustrates the link between entropy optimization and correlation access and which is exact for a quadratic entropy. The approach enables a simple estimation of the quantum discord. Illustrative results for two-qubit states are discussed.en
dcterms.creator.authorGigena, Nicoláses
dcterms.creator.authorRossignoli, Raúl Dantees
dcterms.extent11 p.es
dcterms.identifier.otherDOI: 10.1103/PhysRevA.90.042318es
dcterms.identifier.urlDocumento completoes
dcterms.isPartOf.issuevol. 90, nº 4es
dcterms.isPartOf.seriesPhysical Review Aes
dcterms.issued2014
dcterms.languageIngléses
dcterms.licenseAttribution 4.0 International (BY 4.0)es
dcterms.publisherAPS physicses
dcterms.subjectquantum communicationen
dcterms.subjectentanglement measuresen
dcterms.subjectquantum mechanicsen
dcterms.subjectmeasurement theoryen
dcterms.subject.materiaCiencias Físicases

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