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arXiv · 1810.09131

Tighter monogamy and polygamy relations using R\'{e}nyi-$\alpha$ entropy

Yanying Liang·Zhu-Jun Zheng·Chuan-Jie Zhu
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Abstract

We investigate monogamy relations related to the R\'{e}nyi-$\alpha$ entanglement and polygamy relations related to the R\'{e}nyi-$\alpha$ entanglement of assistance. We present new entanglement monogamy relations satisfied by the $\mu$-th power of R\'{e}nyi-$\alpha$ entanglement with $\alpha\in[\sqrt{7}-1)/2,(\sqrt{13}-1)/2]$ for $\mu\geqslant2$, and polygamy relations satisfied by the $\mu$-th power of R\'{e}nyi-$\alpha$ entanglement of assistance with $\alpha\in[\sqrt{7}-1)/2,(\sqrt{13}-1)/2]$ for $0\leq\mu\leq1$. These relations are shown to be tighter than the existing ones.

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Yanying Liang, Zhu-Jun Zheng, Chuan-Jie Zhu. 2018-10-22. Tighter monogamy and polygamy relations using R\'{e}nyi-$\alpha$ entropy. https://arxiv.org/abs/1810.09131

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