Exchange symmetry and global entanglement and full separability

TL;DR

This paper offers a new, simplified method to characterize the entanglement and separability of multipartite pure quantum states based on exchange symmetry, extending previous results.

Contribution

It introduces an alternative approach to existing characterizations and extends the conclusions regarding exchange symmetry and quantum state properties.

Findings

Simplified characterization of entanglement and separability

Extension of previous results on exchange symmetry

New approach to analyzing multipartite quantum states

Abstract

Ichikawa et al. [Phys. Rev. A 78, 052105 (2008)] showed that exchange symmetry gives rise to simple characterization of whether multipartite pure quantum states being either globally entangled or fully separable. In this Brief Report, we provide a simple alternative approach and some extension to their conclusions.