Gaussian quantum states can be disentangled using symplectic rotations

We show that every Gaussian mixed quantum state can be disentangled by conjugation with a passive symplectic transformation, that is a metaplectic operator associated with a symplectic rotation. The main tools we use are the Werner–Wolf condition on covariance matrices and the symplectic covariance...

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Autor principal: de Gosson, Maurice A.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Netherlands 2021
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8550114/
https://www.ncbi.nlm.nih.gov/pubmed/34720366
http://dx.doi.org/10.1007/s11005-021-01410-4
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author de Gosson, Maurice A.
author_facet de Gosson, Maurice A.
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description We show that every Gaussian mixed quantum state can be disentangled by conjugation with a passive symplectic transformation, that is a metaplectic operator associated with a symplectic rotation. The main tools we use are the Werner–Wolf condition on covariance matrices and the symplectic covariance of Weyl quantization. Our result therefore complements a recent study by Lami, Serafini, and Adesso.
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spelling pubmed-85501142021-10-29 Gaussian quantum states can be disentangled using symplectic rotations de Gosson, Maurice A. Lett Math Phys Article We show that every Gaussian mixed quantum state can be disentangled by conjugation with a passive symplectic transformation, that is a metaplectic operator associated with a symplectic rotation. The main tools we use are the Werner–Wolf condition on covariance matrices and the symplectic covariance of Weyl quantization. Our result therefore complements a recent study by Lami, Serafini, and Adesso. Springer Netherlands 2021-05-24 2021 /pmc/articles/PMC8550114/ /pubmed/34720366 http://dx.doi.org/10.1007/s11005-021-01410-4 Text en © The Author(s) 2021 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
de Gosson, Maurice A.
Gaussian quantum states can be disentangled using symplectic rotations
title Gaussian quantum states can be disentangled using symplectic rotations
title_full Gaussian quantum states can be disentangled using symplectic rotations
title_fullStr Gaussian quantum states can be disentangled using symplectic rotations
title_full_unstemmed Gaussian quantum states can be disentangled using symplectic rotations
title_short Gaussian quantum states can be disentangled using symplectic rotations
title_sort gaussian quantum states can be disentangled using symplectic rotations
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8550114/
https://www.ncbi.nlm.nih.gov/pubmed/34720366
http://dx.doi.org/10.1007/s11005-021-01410-4
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