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
| Main Authors: | , , , , |
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| Format: | info:eu-repo/semantics/submittedVersion |
| Language: | eng |
| Published: |
2024
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| Online Access: | http://hdl.handle.net/11086/551585 https://doi.org/10.48550/arXiv.1704.00584 |
| _version_ | 1801212448035831808 |
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| author | Majtey, Ana Paula Bussandri, Diego Gastón Osán, Tristán Martín Lamberti, Pedro Walter Valdés-Hernández, Andrea |
| 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 |
| author_sort | Majtey, Ana Paula |
| collection | Repositorio Digital Universitario |
| 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 |
| format | info:eu-repo/semantics/submittedVersion |
| id | rdu-unc.551585 |
| institution | Universidad Nacional de Cordoba |
| language | eng |
| publishDate | 2024 |
| record_format | dspace |
| spelling | rdu-unc.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 |
| spellingShingle | 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 |
| title | 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_short | Problem of quantifying quantum correlations with non-commutative discord |
| title_sort | problem of quantifying quantum correlations with non commutative discord |
| topic | Quantum correlations Quantum discord Non-commutative discord Quantum correlations measure Bipartite systems Hilbert–Schmidt norm |
| url | http://hdl.handle.net/11086/551585 https://doi.org/10.48550/arXiv.1704.00584 |
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