# Polygamy relations of multipartite systems

## TL;DR

This paper explores the polygamy relations in multipartite quantum systems, establishing inequalities involving various measures of quantum entanglement and assistance, advancing understanding of quantum correlations.

## Contribution

It introduces generalized polygamy inequalities for multipartite states using powers of concurrence, entanglement of assistance, and SCRENoA, expanding theoretical frameworks.

## Key findings

- Derived inequalities for concurrence of assistance, entanglement of assistance, and SCRENoA.
- Extended polygamy relations to higher powers of quantum correlation measures.
- Provided mathematical bounds for multipartite quantum entanglement.

## Abstract

We investigate the polygamy relations of multipartite quantum states. General polygamy inequalities are given in the $\alpha$th $(\alpha\geq 2)$ power of concurrence of assistance, $\beta$th $(\beta \geq1)$ power of entanglement of assistance, and the squared convex-roof extended negativity of assistance (SCRENoA).