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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Nature Portfolio
2017
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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) |
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Medicine R Science Q Qiting Li Jianlian Cui Shuhao Wang Gui-Lu Long Entanglement monogamy in three qutrit systems |
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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 |
_version_ |
1718388500510801920 |