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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Published in:arXiv.org 2023-05
Main Authors: Xue-Na, Zhu, Bao, Gui, Zhi-Xiang, Jin, Shao-Ming, Fei
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Quantum entanglement
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description 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.
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title Monogamy of entanglement for tripartite systems
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