# Tighter monogamy and polygamy relations of multiparty quantum entanglement

## TL;DR

This paper derives tighter monogamy and polygamy relations for multiparty quantum entanglement, providing improved bounds that enhance understanding of entanglement distribution in quantum systems.

## Contribution

It introduces new tight monogamy and polygamy relations with larger lower bounds and smaller upper bounds, respectively, using bipartite entanglement measures and entanglement of assistance.

## Key findings

- New monogamy relations with larger lower bounds.
- New polygamy relations with smaller upper bounds.
- Relations are tighter than previous results.

## Abstract

We investigate the tight monogamy and polygamy relations of multiparty entanglement for arbitrary quantum states. By using the power of the bipartite measure of entanglement, we establish a class of tight monogamy relations of multiparty entanglement with larger lower bounds than the existing monogamy relations. We also give a class of tight polygamy relations of multiparty entanglement with smaller upper bounds than the existing polygamy relations, by using the power of the entanglement of assistance. It is shown that these new monogamy and polygamy relations are tighter than the former results.