Detecting genuine multipartite quantum non-locality -- a simple approach and generalization to arbitrary dimension

摘要

The structure of Bell-type inequalities detecting genuine multipartitenon-locality, and hence detecting genuine multipartite entanglement, isinvestigated. We first present a simple and intuitive approach to Svetlichny'soriginal inequality, which provides a clear understanding of its structure andof its violation in quantum mechanics. Based on this approach, we then derive afamily of Bell-type inequalities for detecting genuine multipartitenon-locality in scenarios involving an arbitrary number of parties and systemsof arbitrary dimension. Finally we discuss the thightness and quantummechanical violations of these inequalities.