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arXiv · 1703.02858

Polygamy relation for the R\'enyi-$\alpha$ entanglement of assistance in multi-qubit systems

Wei Song·Jian Zhou·Ming Yang·Jun-Long Zhao·Da-Chuang Li·Li-Hua Zhang·Zhuo-Liang Cao
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Abstract

We prove a new polygamy relation of multi-party quantum entanglement in terms of R\'{e}nyi-$\alpha$ entanglement of assistance for $\left( {\sqrt 7 - 1} \right)/2\leq\alpha \leq \left( {\sqrt 13 - 1} \right)/2$. This class of polygamy inequality reduces to the polygamy inequality based on entanglement of assistance since R\'{e}nyi-$\alpha$ entanglement is a generalization of entanglement of formation. We further show that the polygamy inequality also holds for the $\mu$th power of R\'{e}nyi-$\alpha$ entanglement of assistance.

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Wei Song, Jian Zhou, Ming Yang, Jun-Long Zhao, Da-Chuang Li, Li-Hua Zhang, Zhuo-Liang Cao. 2017-03-08. Polygamy relation for the R\'enyi-$\alpha$ entanglement of assistance in multi-qubit systems. https://doi.org/10.1007/s11128-018-2143-z

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