On monogamy and polygamy relations of multipartite systems

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.

Automated summary

In this study, we investigate the monogamy and polygamy relations related to quantum correlations for multipartite quantum systems in a unified approach. We demonstrate that the generalized monogamy and polygamy relations can be extended to other powers of the measure in weighted forms. Our results show that our weighted monogamy and polygamy relations are stronger than recently available relations. Detailed examples are provided to compare and confirm the superiority of our results in both scenarios.