On monogamy and polygamy relations of multipartite systems

Abstract

We study the monogamy and polygamy relations related to quantum correlations for multipartite quantum systems in a unified manner. It is known that any bipartite measure obeys monogamy and polygamy relations for the $r$-power of the measure. We show in a uniformed manner that the generalized monogamy and polygamy relations are transitive to other powers of the measure in weighted forms. We demonstrate that our weighted monogamy and polygamy relations are stronger than recently available relations. Comparisons are given in detailed examples which show that our results are stronger in both situations.

18 pages, 4 figures

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Cited by in corpus (5)

• Tighter parameterized monogamy relations
• Weighted monogamy and polygamy relations
• Superior monogamy and polygamy relations and estimates of concurrence
• Tighter bounds for generalized monogamy and polygamy relations
• General monogamy and polygamy relations of arbitrary quantum correlations for multipartite systems