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arXiv:1902.09239 · International Journal of Theoretical Physics

Tighter Weighted Polygamy Inequalities of Multipartite Entanglement in Arbitrary-Dimensional Quantum Systems

Bin Chen, Long-Mei Yang, Shao-Ming Fei, Zhi-Xi Wang

Published Jan 2, 2019• 4 citations
arXivHTMLPDF
DOI
10.1007/s10773-018-3991-0

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We investigate the polygamy relations related to the concurrence of assistance for any multipartite pure states. General polygamy inequalities given by the α\alphaαth (0≤α≤2)(0\leq \alpha\leq 2)(0≤α≤2) power of concurrence of assistance is first presented for multipartite pure states in arbitrary-dimensional quantum systems. We further show that the general polygamy inequalities can even be improved to be tighter inequalities under certain conditions on the assisted entanglement of bipartite subsystems. Based on the improved polygamy relations, lower bound for distribution of bipartite entanglement is provided in a multipartite system. Moreover, the β\betaβth (0≤β≤10\leq \beta \leq 10≤β≤1) power of polygamy inequalities are obtained for the entanglement of assistance as a by-product, which are shown to be tighter than the existing ones. A detailed example is presented.