论文标题

多部分系统的量子相关性的一夫一妻制和一夫多妻制

Monogamy and polygamy relations of quantum correlations for multipartite systems

论文作者

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

论文摘要

我们研究了任意尺寸多部分量子系统中量子相关性的一夫一妻制和一夫多妻制不平等。我们首先得出了$α$ th($ 0 \leqα\ leq \ frac {r} {r} {2},r \ geq2 $)的一夫一妻制的不平等。除了同意外,我们还表明,一夫一妻制的关系也通过其他量子相关措施(例如形成的纠缠措施)来满足。此外,$β$ th($β\ leq0 $)并发功率的一夫多妻制和$β$ th($β$ th($β\ geq s,0 \ leq s \ leq s \ leq s $)的负功率以$ 2 \ otimes2 \ otimes2 \ otimes2 \ otimes2^^{n-2} $ 2 \ otimes2 \ otimes2 \ otimes2 \ otimes2^{然后,我们获得多部分状态的量子相关性的一夫多妻制不平等。最后,我们的结果被证明比以前使用详细示例的研究更紧密。

We study the monogamy and polygamy inequalities of quantum correlations in arbitrary dimensional multipartite quantum systems. We first derive the monogamy inequality of the $α$th ($0\leqα\leq\frac{r}{2}, r\geq2$) power of concurrence for any $2\otimes2\otimes2^{n-2}$ tripartite states and generalize it to the $n$-qubit quantum states. In addition to concurrence, we show that the monogamy relations are satisfied by other quantum correlation measures such as entanglement of formation. Moreover, the polygamy inequality of the $β$th ($β\leq0$) power of concurrence and the $β$th ($β\geq s, 0\leq s\leq1$) power of the negativity are presented for $2\otimes2\otimes2^{n-2}$. We then obtain the polygamy inequalities of quantum correlations for multipartite states. Finally, our results are shown to be tighter than previous studies using detailed examples.

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