The structure of Bell-type inequalities detecting genuine multipartite non-locality, and hence detecting genuine multipartite entanglement, is investigated. We first present a simple and intuitive approach to Svetlichny's original inequality, which provides a clear understanding of its structure and of its violation in quantum mechanics. Based on this approach, we then derive a family of Bell-type inequalities for detecting genuine multipartite non-locality in scenarios involving an arbitrary number of parties and systems of arbitrary dimension. Finally we discuss the thightness and quantum mechanical violations of these inequalities.
@article{arxiv.1011.0089,
title = {Detecting genuine multipartite quantum non-locality -- a simple approach and generalization to arbitrary dimension},
author = {Jean-Daniel Bancal and Nicolas Brunner and Nicolas Gisin and Yeong-Cherng Liang},
journal= {arXiv preprint arXiv:1011.0089},
year = {2014}
}