Entanglement monogamy in three qutrit systems

Abstract By introducing an arbitrary-dimensional multipartite entanglement measure, which is defined in terms of the reduced density matrices corresponding to all possible two partitions of the entire system, we prove that multipartite entanglement cannot be freely shared among the parties in both n...

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Autores principales: Qiting Li, Jianlian Cui, Shuhao Wang, Gui-Lu Long
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Publicado: Nature Portfolio 2017
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Acceso en línea:https://doaj.org/article/247ba510be674312b1957c0e12976a18
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spelling oai:doaj.org-article:247ba510be674312b1957c0e12976a182021-12-02T15:06:13ZEntanglement monogamy in three qutrit systems10.1038/s41598-017-02066-82045-2322https://doaj.org/article/247ba510be674312b1957c0e12976a182017-05-01T00:00:00Zhttps://doi.org/10.1038/s41598-017-02066-8https://doaj.org/toc/2045-2322Abstract By introducing an arbitrary-dimensional multipartite entanglement measure, which is defined in terms of the reduced density matrices corresponding to all possible two partitions of the entire system, we prove that multipartite entanglement cannot be freely shared among the parties in both n-qubit systems and three-qutrit systems. Furthermore, our result implies that the satisfaction of the entanglement monogamy is related to the number of particles in the quantum system. As an application of three-qutrit monogamy inequality, we give a condition for the separability of a class of two-qutrit mixed states in a 3 ⊗ 3 system.Qiting LiJianlian CuiShuhao WangGui-Lu LongNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 7, Iss 1, Pp 1-7 (2017)
institution DOAJ
collection DOAJ
language EN
topic Medicine
R
Science
Q
spellingShingle Medicine
R
Science
Q
Qiting Li
Jianlian Cui
Shuhao Wang
Gui-Lu Long
Entanglement monogamy in three qutrit systems
description Abstract By introducing an arbitrary-dimensional multipartite entanglement measure, which is defined in terms of the reduced density matrices corresponding to all possible two partitions of the entire system, we prove that multipartite entanglement cannot be freely shared among the parties in both n-qubit systems and three-qutrit systems. Furthermore, our result implies that the satisfaction of the entanglement monogamy is related to the number of particles in the quantum system. As an application of three-qutrit monogamy inequality, we give a condition for the separability of a class of two-qutrit mixed states in a 3 ⊗ 3 system.
format article
author Qiting Li
Jianlian Cui
Shuhao Wang
Gui-Lu Long
author_facet Qiting Li
Jianlian Cui
Shuhao Wang
Gui-Lu Long
author_sort Qiting Li
title Entanglement monogamy in three qutrit systems
title_short Entanglement monogamy in three qutrit systems
title_full Entanglement monogamy in three qutrit systems
title_fullStr Entanglement monogamy in three qutrit systems
title_full_unstemmed Entanglement monogamy in three qutrit systems
title_sort entanglement monogamy in three qutrit systems
publisher Nature Portfolio
publishDate 2017
url https://doaj.org/article/247ba510be674312b1957c0e12976a18
work_keys_str_mv AT qitingli entanglementmonogamyinthreequtritsystems
AT jianliancui entanglementmonogamyinthreequtritsystems
AT shuhaowang entanglementmonogamyinthreequtritsystems
AT guilulong entanglementmonogamyinthreequtritsystems
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