Tightening monogamy and polygamy relations of unified entanglement in multipartite systems

• URL: http://arxiv.org/abs/2205.06394v1
• Date: Thu, 12 May 2022 23:27:16 GMT
• Title: Tightening monogamy and polygamy relations of unified entanglement in multipartite systems
• Authors: Mei-Ming Zhang, Naihuan Jing, Hui Zhao
• Abstract summary: We first derive the monogamy inequality of unified-$(q, s)$ entanglement for multi-qubit states under arbitrary bipartition. We then obtain the monogamy inequalities of the $alpha$th ($0leqalphaleqfracr2, rgeqsqrt2$) power of entanglement of formation for tripartite states.
• Score: 1.6353216381658506
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We study the monogamy and polygamy inequalities of unified entanglement in multipartite quantum systems. We first derive the monogamy inequality of unified-$(q, s)$ entanglement for multi-qubit states under arbitrary bipartition, and then obtain the monogamy inequalities of the $\alpha$th ($0\leq\alpha\leq\frac{r}{2}, r\geq\sqrt{2}$) power of entanglement of formation for tripartite states and their generalizations in multi-qubit quantum states. We also generalize the polygamy inequalities of unified-$(q, s)$ entanglement for multi-qubit states under arbitrary bipartition. Moreover, we investigate polygamy inequalities of the $\beta$th ($\beta\geq \max\{1, s\}, 0\leq s\leq s_0, 0\leq s_0\leq\sqrt{2}$) power of the entanglement of formation for $2\otimes2\otimes2$ and $n$-qubit quantum systems. Finally, using detailed examples, we show that the results are tighter than previous studies.

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