Entanglement witnesses from mutually unbiased measurements

A new family of positive, trace-preserving maps is introduced. It is defined using the mutually unbiased measurements, which generalize the notion of mutual unbiasedness of orthonormal bases. This family allows one to define entanglement witnesses whose indecomposability depends on the characteristi...

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Autores principales: Siudzińska, Katarzyna, Chruściński, Dariusz
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2021
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8626499/
https://www.ncbi.nlm.nih.gov/pubmed/34836979
http://dx.doi.org/10.1038/s41598-021-02356-2
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author Siudzińska, Katarzyna
Chruściński, Dariusz
author_facet Siudzińska, Katarzyna
Chruściński, Dariusz
author_sort Siudzińska, Katarzyna
collection PubMed
description A new family of positive, trace-preserving maps is introduced. It is defined using the mutually unbiased measurements, which generalize the notion of mutual unbiasedness of orthonormal bases. This family allows one to define entanglement witnesses whose indecomposability depends on the characteristics of the associated measurement operators. We provide examples of indecomposable witnesses and compare their entanglement detection properties with the realignment criterion.
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spelling pubmed-86264992021-11-29 Entanglement witnesses from mutually unbiased measurements Siudzińska, Katarzyna Chruściński, Dariusz Sci Rep Article A new family of positive, trace-preserving maps is introduced. It is defined using the mutually unbiased measurements, which generalize the notion of mutual unbiasedness of orthonormal bases. This family allows one to define entanglement witnesses whose indecomposability depends on the characteristics of the associated measurement operators. We provide examples of indecomposable witnesses and compare their entanglement detection properties with the realignment criterion. Nature Publishing Group UK 2021-11-26 /pmc/articles/PMC8626499/ /pubmed/34836979 http://dx.doi.org/10.1038/s41598-021-02356-2 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
Siudzińska, Katarzyna
Chruściński, Dariusz
Entanglement witnesses from mutually unbiased measurements
title Entanglement witnesses from mutually unbiased measurements
title_full Entanglement witnesses from mutually unbiased measurements
title_fullStr Entanglement witnesses from mutually unbiased measurements
title_full_unstemmed Entanglement witnesses from mutually unbiased measurements
title_short Entanglement witnesses from mutually unbiased measurements
title_sort entanglement witnesses from mutually unbiased measurements
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8626499/
https://www.ncbi.nlm.nih.gov/pubmed/34836979
http://dx.doi.org/10.1038/s41598-021-02356-2
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