# Tighter entanglement monogamy relations of qubit systems

## TL;DR

This paper introduces new, tighter monogamy relations for entanglement measures like concurrence and entanglement of formation in qubit systems, applicable for specific powers of these measures, enhancing understanding of entanglement distribution.

## Contribution

It presents novel monogamy relations involving the $eta$-th power of concurrence and entanglement of formation, extending and tightening previous bounds.

## Key findings

- New monogamy relations for $eta$-th powers of concurrence and entanglement of formation.
- Relations are valid for all $eta \\geq 2$ and $eta \\geq \\sqrt{2}$ respectively.
- Relations are shown to be tighter than existing monogamy inequalities.

## Abstract

Monogamy relations characterize the distributions of entanglement in multipartite systems. We investigate monogamy relations related to the concurrence $C$ and the entanglement of formation $E$. We present new entanglement monogamy relations satisfied by the $\alpha$-th power of concurrence for all $\alpha\geq2$, and the $\alpha$-th power of the entanglement of formation for all $\alpha\geq\sqrt{2}$. These monogamy relations are shown to be tighter than the existing ones.