Tightening monogamy and polygamy relations of unified entanglement in multipartite systems

We study monogamy and polygamy inequalities of unified entanglement in multipartite quantum systems. We first derive the monogamy inequality of unified-(q, s) entanglement for multi-qubit states under arbitrary bipartition, and then obtain the monogamy inequalities of the alpha th (0 <= alpha <= R/2, r >= root 2) power of entanglement of formation for tripartite states and their generalizations in multi-qubit quantum states. We also generalize the polygamy inequalities of unified-(q, s) entanglement for multiqubit states under arbitrary bipartition. Moreover, we investigate polygamy inequalities of the beta th (beta >= max(1, s), 0 <= s <= s(0), 0 <= s(0) <= root 5) power of the entanglement of formation for 2 circle times 2 circle times 2 and n-qubit quantum systems. Finally, using detailed examples, we show that the results are tighter than previous studies.

Automated summary

This paper studies the monogamy and polygamy inequalities of unified entanglement in multipartite quantum systems. By deriving the corresponding inequalities and providing detailed examples, the results are shown to be tighter than previous studies.