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arXiv · 2305.07279

Monogamy of entanglement for tripartite systems

Xue-Na Zhu·Gui Bao·Zhi-Xiang Jin·Shao-Ming Fei
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Abstract

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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Xue-Na Zhu, Gui Bao, Zhi-Xiang Jin, Shao-Ming Fei. 2023-05-12. Monogamy of entanglement for tripartite systems. https://doi.org/10.1103/physreva.107.052404

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