Problem of quantifying quantum correlations with non-commutative discord

Problem of quantifying quantum correlations with non-commutative discord

Artículo finalmente publicado en: Majtey, A. P., Bussandri, D. G., Osán, T. M., Lamberti, P. W. y Valdés-Hernández, A. (2017). Problem of quantifying quantum correlations with non-commutative discord. Quantum Information Processing, 16 (9), 226. https://doi.org/10.1007/s11128-017-1669-9

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Bibliographic Details
Main Authors: Majtey, Ana Paula, Bussandri, Diego Gastón, Osán, Tristán Martín, Lamberti, Pedro Walter, Valdés-Hernández, Andrea
Other Authors: https://orcid.org/0000-0001-5447-8032
Format: info:eu-repo/semantics/submittedVersion biblioteca
Language:eng
Published: 2017
Subjects:Quantum correlations, Quantum discord, Non-commutative discord, Quantum correlations measure, Bipartite systems, Hilbert–Schmidt norm,
Online Access:http://hdl.handle.net/11086/551585
https://doi.org/10.48550/arXiv.1704.00584
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id dig-unc-ar-11086-551585
record_format koha
institution UNC AR
collection DSpace
country Argentina
countrycode AR
component Bibliográfico
access En linea
databasecode dig-unc-ar
tag biblioteca
region America del Sur
libraryname Biblioteca 'Ing. Agrónomo Moisés Farber' de la Facultad de Ciencias Agropecuarias
language eng
topic Quantum correlations
Quantum discord
Non-commutative discord
Quantum correlations measure
Bipartite systems
Hilbert–Schmidt norm
Quantum correlations
Quantum discord
Non-commutative discord
Quantum correlations measure
Bipartite systems
Hilbert–Schmidt norm
spellingShingle Quantum correlations
Quantum discord
Non-commutative discord
Quantum correlations measure
Bipartite systems
Hilbert–Schmidt norm
Quantum correlations
Quantum discord
Non-commutative discord
Quantum correlations measure
Bipartite systems
Hilbert–Schmidt norm
Majtey, Ana Paula
Bussandri, Diego Gastón
Osán, Tristán Martín
Lamberti, Pedro Walter
Valdés-Hernández, Andrea
Problem of quantifying quantum correlations with non-commutative discord
description Artículo finalmente publicado en: Majtey, A. P., Bussandri, D. G., Osán, T. M., Lamberti, P. W. y Valdés-Hernández, A. (2017). Problem of quantifying quantum correlations with non-commutative discord. Quantum Information Processing, 16 (9), 226. https://doi.org/10.1007/s11128-017-1669-9
author2 https://orcid.org/0000-0001-5447-8032
author_facet https://orcid.org/0000-0001-5447-8032
Majtey, Ana Paula
Bussandri, Diego Gastón
Osán, Tristán Martín
Lamberti, Pedro Walter
Valdés-Hernández, Andrea
format info:eu-repo/semantics/submittedVersion
topic_facet Quantum correlations
Quantum discord
Non-commutative discord
Quantum correlations measure
Bipartite systems
Hilbert–Schmidt norm
author Majtey, Ana Paula
Bussandri, Diego Gastón
Osán, Tristán Martín
Lamberti, Pedro Walter
Valdés-Hernández, Andrea
author_sort Majtey, Ana Paula
title Problem of quantifying quantum correlations with non-commutative discord
title_short Problem of quantifying quantum correlations with non-commutative discord
title_full Problem of quantifying quantum correlations with non-commutative discord
title_fullStr Problem of quantifying quantum correlations with non-commutative discord
title_full_unstemmed Problem of quantifying quantum correlations with non-commutative discord
title_sort problem of quantifying quantum correlations with non-commutative discord
publishDate 2017
url http://hdl.handle.net/11086/551585
https://doi.org/10.48550/arXiv.1704.00584
work_keys_str_mv AT majteyanapaula problemofquantifyingquantumcorrelationswithnoncommutativediscord
AT bussandridiegogaston problemofquantifyingquantumcorrelationswithnoncommutativediscord
AT osantristanmartin problemofquantifyingquantumcorrelationswithnoncommutativediscord
AT lambertipedrowalter problemofquantifyingquantumcorrelationswithnoncommutativediscord
AT valdeshernandezandrea problemofquantifyingquantumcorrelationswithnoncommutativediscord
_version_ 1802817918621188096
spelling dig-unc-ar-11086-5515852024-04-25T14:40:36Z Problem of quantifying quantum correlations with non-commutative discord Majtey, Ana Paula Bussandri, Diego Gastón Osán, Tristán Martín Lamberti, Pedro Walter Valdés-Hernández, Andrea https://orcid.org/0000-0001-5447-8032 https://orcid.org/0000-0002-1266-5750 https://orcid.org/0000-0002-0140-3069 Quantum correlations Quantum discord Non-commutative discord Quantum correlations measure Bipartite systems Hilbert–Schmidt norm Artículo finalmente publicado en: Majtey, A. P., Bussandri, D. G., Osán, T. M., Lamberti, P. W. y Valdés-Hernández, A. (2017). Problem of quantifying quantum correlations with non-commutative discord. Quantum Information Processing, 16 (9), 226. https://doi.org/10.1007/s11128-017-1669-9 info:eu-repo/semantics/submittedVersion Fil: Majtey, Ana Paula. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía, Física y Computación; Argentina. Fil: Majtey, Ana Paula. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Fil: Bussandri, Diego Gastón. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía, Física y Computación; Argentina. Fil: Bussandri, Diego Gastón. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Fil: Osán, Tristán Martín. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía, Física y Computación; Argentina. Fil: Osán, Tristán Martín. Universidad Nacional de Córdoba. Instituto de Física Enrique Gaviola; Argentina. Fil: Osán, Tristán Martín. Consejo Nacional de Investigaciones Científicas y Técnicas. Instituto de Física Enrique Gaviola; Argentina. Fil: Lamberti, Pedro Walter. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía, Física y Computación; Argentina. Fil: Lamberti, Pedro Walter. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Fil: Valdés-Hernández, Andrea. Universidad Nacional Autónoma de México. Instituto de Física; México. In this work we analyze a non-commutativity measure of quantum correlations recently proposed by Y. 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. info:eu-repo/semantics/submittedVersion Fil: Majtey, Ana Paula. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía, Física y Computación; Argentina. Fil: Majtey, Ana Paula. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Fil: Bussandri, Diego Gastón. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía, Física y Computación; Argentina. Fil: Bussandri, Diego Gastón. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Fil: Osán, Tristán Martín. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía, Física y Computación; Argentina. Fil: Osán, Tristán Martín. Universidad Nacional de Córdoba. Instituto de Física Enrique Gaviola; Argentina. Fil: Osán, Tristán Martín. Consejo Nacional de Investigaciones Científicas y Técnicas. Instituto de Física Enrique Gaviola; Argentina. Fil: Lamberti, Pedro Walter. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía, Física y Computación; Argentina. Fil: Lamberti, Pedro Walter. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Fil: Valdés-Hernández, Andrea. Universidad Nacional Autónoma de México. Instituto de Física; México. Otras Ciencias Físicas 2024-04-25T12:54:20Z 2024-04-25T12:54:20Z 2017 article http://hdl.handle.net/11086/551585 https://doi.org/10.48550/arXiv.1704.00584 eng De la versión publicada: https://doi.org/10.1007/s11128-017-1669-9 Attribution-NonCommercial-NoDerivs 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/ Impreso; Electrónico y/o Digital e-ISSN: 1573-1332

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