Tighter monogamy and polygamy relations in multiparty quantum systems

TL;DR

This paper develops tighter mathematical inequalities to better describe how quantum entanglement is distributed among multiple parties in quantum systems, improving upon previous bounds.

Contribution

The paper introduces a new inequality that yields tighter monogamy and polygamy relations for multipartite quantum entanglement, extending previous results.

Findings

Derived a family of improved monogamy inequalities

Extended results to general multipartite systems

Showed bounds are tighter than existing ones

Abstract

The monogamy and polygamy properties of quantum entanglement characterize fundamental constraints on the distribution of entanglement in multipartite quantum systems. In this paper, we investigate tighter monogamy and polygamy relations for multipartite entanglement. By establishing a new mathematical inequality, we derive a family of improved monogamy and polygamy inequalities for tripartite quantum systems and further extend these results to general multipartite systems. Comparisons with existing results show that the obtained bounds are tighter. Illustrative examples are provided to demonstrate the effectiveness of the proposed relations.