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arXiv · 2309.13386

Polygamy relation of quantum correlations with equality

Zhi-Xiang Jin·Bing Yu·Xue-Na Zhu·Shao-Ming Fei·Cong-Feng Qiao
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Abstract

We provide a generalized definition of polygamy relations for any quantum correlation measures. Instead of the usual polygamy inequality, a polygamy relation with equality is given by introducing the polygamy weight. From the polygamy relation with equality, we present polygamy inequalities satisfied by the $\beta$th $(\beta>0)$ power of the quantum correlation measures. Taking concurrence of assistance as an example, we further illustrate the significance and advantages of these relations. We also obtain a polygamy relation with equality by considering the one-to-group entanglements for any quantum entanglement measures that do not satisfy the polygamy relations. We demonstrate that such relations for tripartite states can be generalized to multipartite systems.

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Zhi-Xiang Jin, Bing Yu, Xue-Na Zhu, Shao-Ming Fei, Cong-Feng Qiao. 2023-09-23. Polygamy relation of quantum correlations with equality. https://doi.org/10.1002/qute.202300186

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