Strong polygamy and monogamy relations for multipartite quantum systems

TL;DR

This paper establishes tighter monogamy and polygamy inequalities for quantum correlations in multipartite systems, enhancing understanding of quantum entanglement distribution.

Contribution

It introduces residual quantum correlations and derives stronger, analytical monogamy and polygamy relations applicable to all multipartite quantum states.

Findings

Derived tighter polygamy inequalities.

Established stronger monogamy relations.

Provided illustrative examples.

Abstract

Monogamy and polygamy are the most striking features of the quantum world. We investigate the monogamy and polygamy relations satisfied by all quantum correlation measures for arbitrary multipartite quantum states. By introducing residual quantum correlations, analytical polygamy inequalities are presented, which are shown to be tighter than the existing ones. Then, similar to polygamy relations, we obtain strong monogamy relations that are better than all the existing ones. Typical examples are presented for illustration.