We study the relation between distillability of multipartite states and
violation of Bell's inequality. We prove that there exist multipartite bound
entangled states (i.e. non-separable, non-distillable states) that violate a
multipartite Bell inequality. This implies that (i) violation of Bell's
inequality is not a sufficient condition for distillability and (ii) some bound
entangled states cannot be described by a local hidden variable model.Comment: 4 pages, no figure