Entanglement criteria for Dicke states

TL;DR

This paper develops new entanglement witnesses for Dicke states, providing stronger criteria than previous methods to detect genuine multiparticle entanglement in these quantum states.

Contribution

The authors introduce analytical entanglement criteria based on PPT mixtures that outperform existing conditions for Dicke states.

Findings

Criteria are stronger than previous methods in nearly all cases.

Analytical conditions for detecting genuine multiparticle entanglement.

Applicable to a broad class of Dicke states.

Abstract

Dicke states are a family of multi-qubit quantum states with interesting entanglement properties and have been observed in many experiments. We construct entanglement witnesses for detecting genuine multiparticle entanglement in the vicinity of these states. We use the approach of PPT mixtures to derive the conditions analytically. For nearly all cases, our criteria are stronger than all conditions previously known.