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arXiv · 2312.15683

Polygamy relations for tripartite and multipartite quantum systems

Yanying Liang·Haozhen Situ·Zhu-Jun Zheng
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Abstract

We study the polygamy property for tripartite and multipartite quantum systems. In tripartite system, we build a solution set for polygamy in tripartite system and find a lower bound of the set, which can be a sufficient and necessary condition for any quantum entanglement of assistance $Q$ to be polygamous. In multipartite system, we firstly provide generalized definitions for polygamy in two kind of divisions of $n$-qubit systems, and then build polygamy inequalities with a polygamy power $\beta$, repectively. Moreover, we use right triangle and tetrahedron to explain our polygamy relations according to the new definitions.

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Yanying Liang, Haozhen Situ, Zhu-Jun Zheng. 2023-12-25. Polygamy relations for tripartite and multipartite quantum systems. https://arxiv.org/abs/2312.15683

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