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arXiv · 1604.08077

Monogamy relation of multi-qubit systems for squared Tsallis-\emph{q} entanglement

Guang-Ming Yuan·Wei Song·Ming Yang·Da-Chuang Li·Jun-Long Zhao·Zhuo-Liang Cao
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Abstract

Tsallis-$q$ entanglement is a bipartite entanglement measure which is the generalization of entanglement of formation for $q$ tending to 1. We first expand the range of $q$ for the analytic formula of Tsallis-\emph{q} entanglement. For $\frac{5-\sqrt{13}}{2} \leq \emph{q} \leq \frac{5+\sqrt{13}}{2}$, we prove the monogamy relation in terms of the squared Tsallis-$q$ entanglement for an arbitrary multi-qubit systems. It is shown that the multipartite entanglement indicator based on squared Tsallis-$q$ entanglement still works well even when the indicator based on the squared concurrence loses its efficacy. We also show that the $\mu$-th power of Tsallis-\emph{q} entanglement satisfies the monogamy or polygamy inequalities for any three-qubit state.

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Guang-Ming Yuan, Wei Song, Ming Yang, Da-Chuang Li, Jun-Long Zhao, Zhuo-Liang Cao. 2016-04-27. Monogamy relation of multi-qubit systems for squared Tsallis-\emph{q} entanglement. https://doi.org/10.1038/srep28719

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