title: Gisin's theorem for arbitrary dimensional multipartite states.
abstract: We present a set of Bell inequalities which are sufficient and necessary for separability of general pure multipartite quantum states in arbitrary dimensions. The relations between Bell inequalities and distillability are also studied. We show that any quantum states that violate one of these Bell inequalities are distillable.
authors.affiliation: Department of Mathematics, China University of Petroleum, 257061 Dongying, China.
authors.forename: Ming
authors.initials: M
authors.lastname: Li
authors.forename: Shao-Ming
authors.initials: SM
authors.lastname: Fei