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arXiv · 1604.07616

General Monogamy of Tsallis $q$-Entropy Entanglement in Multiqubit Systems

Yu Luo·Tian Tian·Lian-He Shao·Yongming Li
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Abstract

In this paper, we study the monogamy inequality of Tsallis-q entropy entanglement. We first provide an analytic formula of Tsallis-q entropy entanglement in two-qubit systems for $\frac{5-\sqrt{13}}{2}\leq q\leq\frac{5+\sqrt{13}}{2}.$ The analytic formula of Tsallis-q entropy entanglement in $2\otimes d$ system is also obtained and we show that Tsallis-q entropy entanglement satisfies a set of hierarchical monogamy equalities. Furthermore, we prove the squared Tsallis-q entropy entanglement follows a general inequality in the qubit systems. Based on the monogamy relations, a set of multipartite entanglement indicators is constructed, which can detect all genuine multiqubit entangled states even in the case of $N$-tangle vanishes. Moreover, we study some examples in multipartite higher-dimensional system for the monogamy inequalities.

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Yu Luo, Tian Tian, Lian-He Shao, Yongming Li. 2016-04-26. General Monogamy of Tsallis $q$-Entropy Entanglement in Multiqubit Systems. https://doi.org/10.1103/physreva.93.062340

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