Separability criteria and entanglement witnesses for symmetric quantum states

TL;DR

This paper investigates criteria for detecting entanglement in symmetric bipartite quantum states, showing that a single measurement can suffice for certain states and discussing conditions for others.

Contribution

It introduces a simple correlation measurement method to detect entanglement in symmetric states with non-positive partial transpose and explores entanglement witnesses for positive partial transpose states.

Findings

Single correlation measurement detects entanglement in non-positive partial transpose states.

Conditions for entanglement detection in positive partial transpose states are discussed.

Provides practical criteria for symmetric quantum state entanglement detection.

Abstract

We study the separability of symmetric bipartite quantum states and show that a single correlation measurement is sufficient to detect the entanglement of any bipartite symmetric state with a non-positive partial transpose. We also discuss entanglement conditions and entanglement witnesses for states with a positive partial transpose.