Many-body entanglement: Permutations and equivalence classes

TL;DR

This paper introduces a permutation symmetry-based criterion to classify entanglement in high-dimensional multi-partite quantum systems, offering an intuitive approach to understanding complex many-body entanglement structures.

Contribution

It presents a novel, easily applicable method for identifying entanglement classes using permutation symmetries, enhancing the classification of many-body quantum states.

Findings

Distinct entanglement classes identified via permutation symmetries

Provides an intuitive understanding of complex entanglement structures

Applicable to high-dimensional multi-partite systems

Abstract

With an easily applicable criterion based on permutation symmetries of (identically prepared) replicas of quantum states we identify distinct entanglement classes in high-dimensional multi- partite systems. The different symmetry properties of inequivalent states provide a rather intuitive picture of the otherwise very abstract classification of many-body entangled states.