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.
@article{arxiv.1109.6337,
title = {Many-body entanglement: Permutations and equivalence classes},
author = {Florian Mintert and Benno Salwey and Andreas Buchleitner},
journal= {arXiv preprint arXiv:1109.6337},
year = {2015}
}