论文标题

拧紧多部分系统中统一纠缠的一夫一妻制和一夫多妻制关系

Tightening monogamy and polygamy relations of unified entanglement in multipartite systems

论文作者

Zhang, Mei-Ming, Jing, Naihuan, Zhao, Hui

论文摘要

我们研究多部分量子系统中统一纠缠的一夫一妻制和一夫多妻制不平等。 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 $α$th ($0\leqα\leq\frac{r}{2}, r\geq\sqrt{2}$) power of entanglement of formation for tripartite states and它们在多量量子状态下的概括。我们还概括了统一的一夫多妻制 - $(q,s)$纠缠在任意两部分下的多量状态。 Moreover, we investigate polygamy inequalities of the $β$th ($β\geq \max\{1, s\}, 0\leq s\leq s_0, 0\leq s_0\leq\sqrt{2}$) power of the entanglement of formation for $2\otimes2\otimes2$ and $n$-qubit quantum systems.最后,使用详细的示例,我们表明结果比以前的研究更紧。

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 $α$th ($0\leqα\leq\frac{r}{2}, r\geq\sqrt{2}$) 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 $β$th ($β\geq \max\{1, s\}, 0\leq s\leq s_0, 0\leq s_0\leq\sqrt{2}$) 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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