title: Detecting genuine multipartite quantum nonlocality: a simple approach and generalization to arbitrary dimensions.
abstract: The structure of Bell-type inequalities detecting genuine multipartite nonlocality, 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 nonlocality in scenarios involving an arbitrary number of parties and systems of arbitrary dimension. Finally, we discuss the tightness and quantum mechanical violations of these inequalities.
authors.affiliation: Group of Applied Physics, University of Geneva, CH-1211 Geneva 4, Switzerland.
authors.forename: Jean-Daniel
authors.initials: JD
authors.lastname: Bancal
authors.forename: Nicolas
authors.initials: N
authors.lastname: Brunner
authors.forename: Nicolas
authors.initials: N
authors.lastname: Gisin
authors.forename: Yeong-Cherng
authors.initials: YC
authors.lastname: Liang