# Tighter weighted polygamy inequalities of multipartite entanglement in arbitrary-dimensional quantum systems

## TL;DR

This paper introduces tighter weighted polygamy inequalities for multipartite entanglement in arbitrary-dimensional quantum systems, enhancing the understanding of entanglement distribution with improved bounds.

## Contribution

The authors develop a new class of weighted polygamy inequalities using the $eta$th power of entanglement of assistance, which are tighter than previous inequalities.

## Key findings

- New weighted polygamy inequalities are established.
- The inequalities are tighter than previous results.
- Applicable to arbitrary-dimensional quantum systems.

## Abstract

We investigate polygamy relations of multipartite entanglement in arbitrary-dimensional quantum systems. By improving an inequality and using the $\beta$th ($0\leq\beta\leq1$) power of entanglement of assistance, we provide a new class of weighted polygamy inequalities of multipartite entanglement in arbitrary-dimensional quantum systems. We show that these new polygamy relations are tighter than the ones given in [Phys. Rev. A 97, 042332 (2018)].