Cargando…

Entanglement of formation and monogamy of multi-party quantum entanglement

We provide a sufficient condition for the monogamy inequality of multi-party quantum entanglement of arbitrary dimensions in terms of entanglement of formation. Based on the classical–classical–quantum(ccq) states whose quantum parts are obtained from the two-party reduced density matrices of a thre...

Descripción completa

Detalles Bibliográficos
Autor principal: Kim, Jeong San
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2021
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7841181/
https://www.ncbi.nlm.nih.gov/pubmed/33504945
http://dx.doi.org/10.1038/s41598-021-82052-3
_version_ 1783643747980935168
author Kim, Jeong San
author_facet Kim, Jeong San
author_sort Kim, Jeong San
collection PubMed
description We provide a sufficient condition for the monogamy inequality of multi-party quantum entanglement of arbitrary dimensions in terms of entanglement of formation. Based on the classical–classical–quantum(ccq) states whose quantum parts are obtained from the two-party reduced density matrices of a three-party quantum state, we show the additivity of the mutual information of the ccq states guarantees the monogamy inequality of the three-party pure state in terms of EoF. After illustrating the result with some examples, we generalize our result of three-party systems into any multi-party systems of arbitrary dimensions.
format Online
Article
Text
id pubmed-7841181
institution National Center for Biotechnology Information
language English
publishDate 2021
publisher Nature Publishing Group UK
record_format MEDLINE/PubMed
spelling pubmed-78411812021-01-29 Entanglement of formation and monogamy of multi-party quantum entanglement Kim, Jeong San Sci Rep Article We provide a sufficient condition for the monogamy inequality of multi-party quantum entanglement of arbitrary dimensions in terms of entanglement of formation. Based on the classical–classical–quantum(ccq) states whose quantum parts are obtained from the two-party reduced density matrices of a three-party quantum state, we show the additivity of the mutual information of the ccq states guarantees the monogamy inequality of the three-party pure state in terms of EoF. After illustrating the result with some examples, we generalize our result of three-party systems into any multi-party systems of arbitrary dimensions. Nature Publishing Group UK 2021-01-27 /pmc/articles/PMC7841181/ /pubmed/33504945 http://dx.doi.org/10.1038/s41598-021-82052-3 Text en © The Author(s) 2021 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/.
spellingShingle Article
Kim, Jeong San
Entanglement of formation and monogamy of multi-party quantum entanglement
title Entanglement of formation and monogamy of multi-party quantum entanglement
title_full Entanglement of formation and monogamy of multi-party quantum entanglement
title_fullStr Entanglement of formation and monogamy of multi-party quantum entanglement
title_full_unstemmed Entanglement of formation and monogamy of multi-party quantum entanglement
title_short Entanglement of formation and monogamy of multi-party quantum entanglement
title_sort entanglement of formation and monogamy of multi-party quantum entanglement
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7841181/
https://www.ncbi.nlm.nih.gov/pubmed/33504945
http://dx.doi.org/10.1038/s41598-021-82052-3
work_keys_str_mv AT kimjeongsan entanglementofformationandmonogamyofmultipartyquantumentanglement