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dc.contributor.author
Majtey, Ana Paula
dc.contributor.author
Bussandri, Diego G.
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Osán, Tristán Martín
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Lamberti, Pedro Walter
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Valdés-Hernández, A.
dc.date.available
2018-11-06T16:51:48Z
dc.date.issued
2017-09
dc.identifier.citation
Majtey, Ana Paula; Bussandri, Diego G.; Osán, Tristán Martín; Lamberti, Pedro Walter; Valdés-Hernández, A.; Problem of quantifying quantum correlations with non-commutative discord; Springer; Quantum Information Processing; 16; 9; 9-2017
dc.identifier.issn
1570-0755
dc.identifier.uri
http://hdl.handle.net/11336/63765
dc.description.abstract
In this work we analyze a non-commutativity measure of quantum correlations recently proposed by Guo (Sci Rep 6:25241, 2016). By resorting to a systematic survey of a two-qubit system, we detected an undesirable behavior of such a measure related to its representation-dependence. In the case of pure states, this dependence manifests as a non-satisfactory entanglement measure whenever a representation other than the Schmidt’s is used. In order to avoid this basis-dependence feature, we argue that a minimization procedure over the set of all possible representations of the quantum state is required. In the case of pure states, this minimization can be analytically performed and the optimal basis turns out to be that of Schmidt’s. In addition, the resulting measure inherits the main properties of Guo’s measure and, unlike the latter, it reduces to a legitimate entanglement measure in the case of pure states. Some examples involving general mixed states are also analyzed considering such an optimization. The results show that, in most cases of interest, the use of Guo’s measure can result in an overestimation of quantum correlations. However, since Guo’s measure has the advantage of being easily computable, it might be used as a qualitative estimator of the presence of quantum correlations.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Springer
dc.rights
info:eu-repo/semantics/restrictedAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Bipartite Systems
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Hilbert&Ndash;Schmidt Norm
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Non-Commutative Discord
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Quantum Correlations
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Quantum Correlations Measure
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Quantum Discord
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Astronomía
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Ciencias Físicas
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CIENCIAS NATURALES Y EXACTAS
dc.title
Problem of quantifying quantum correlations with non-commutative discord
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2018-10-22T18:21:27Z
dc.identifier.eissn
1573-1332
dc.journal.volume
16
dc.journal.number
9
dc.journal.pais
Alemania
dc.journal.ciudad
Berlin
dc.description.fil
Fil: Majtey, Ana Paula. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física. Sección Física; Argentina
dc.description.fil
Fil: Bussandri, Diego G.. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física. Sección Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
dc.description.fil
Fil: Osán, Tristán Martín. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Física Enrique Gaviola. Universidad Nacional de Córdoba. Instituto de Física Enrique Gaviola; Argentina
dc.description.fil
Fil: Lamberti, Pedro Walter. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina
dc.description.fil
Fil: Valdés-Hernández, A.. Universidad Nacional Autonoma de Mexico. Facultad de Ciencias; México
dc.journal.title
Quantum Information Processing
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://link.springer.com/10.1007/s11128-017-1669-9
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/https://doi.org/10.1007/s11128-017-1669-9


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