# Polygamy Inequalities for Qubit Systems

## TL;DR

This paper explores the polygamy inequalities of entanglement in multi-qubit systems, extending previous results to broader parameter ranges for concurrence and entanglement of formation.

## Contribution

It generalizes existing polygamy relations for entanglement measures in multi-qubit states to larger parameter regions.

## Key findings

- Extended polygamy inequalities for concurrence and entanglement of formation.
- Broadened the parameter region for entanglement polygamy relations.
- Provided theoretical bounds for multi-qubit entanglement measures.

## Abstract

Entanglement polygamy, like entanglement monogamy, is a fundamental property of multipartite quantum states. We investigate the polygamy relations related to the concurrence $C$ and the entanglement of formation $E$ for general $n$-qubit states. We extend the results in [Phys. Rev. A 90, 024304 (2014)] from the parameter region $\alpha\leq0$ to $\alpha\leq\alpha_0$, where $0<\alpha_0\leq2$ for $C$, and $0<\alpha_0\leq\sqrt{2}$ for $E$.