Monogamy of entanglement for tripartite systems

We study the monogamy of arbitrary quantum entanglement measures \(E\) for tripartite quantum systems. Both sufficient and necessary conditions for \(E\) to be monogamous in terms of the \(\alpha\)th power of \(E\) are explicitly derived. It is shown that such monogamy of a entanglement measure \(E\...

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Bibliographic Details
Published in:arXiv.org 2023-05
Main Authors: Xue-Na, Zhu, Bao, Gui, Zhi-Xiang, Jin, Shao-Ming, Fei
Format: Article
Language:English
Subjects:
Quantum entanglement
Online Access:Get full text
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Summary:We study the monogamy of arbitrary quantum entanglement measures \(E\) for tripartite quantum systems. Both sufficient and necessary conditions for \(E\) to be monogamous in terms of the \(\alpha\)th power of \(E\) are explicitly derived. It is shown that such monogamy of a entanglement measure \(E\) only depends on the boundedness of the solution set of certain equations. Moreover, the monogamy conditions have been also obtained with respect to certain subsets of quantum states for a given quantum correlation. Detailed examples are given to illustrate our results.
ISSN:2331-8422
DOI:10.48550/arxiv.2305.07279