Entanglement and permutational symmetry

TL;DR

This paper investigates the entanglement properties of permutationally symmetric quantum states, revealing that many entanglement criteria align and introducing a method to generate bound entangled states, enhancing understanding of their nature.

Contribution

It provides a new approach to generate bound entangled states in symmetric systems, both bipartite and multipartite, and compares entanglement criteria in such states.

Findings

Most entanglement criteria coincide for bipartite symmetric states

A method to generate bound entangled states in symmetric systems

Bound entangled states offer new insights into entanglement nature

Abstract

We study the separability of permutationally symmetric quantum states. We show that for bipartite symmetric systems most of the relevant entanglement criteria coincide. However, we provide a method to generate examples of bound entangled states in symmetric systems, for the bipartite and the multipartite case. These states shed some new light on the nature of bound entanglement.