Global entanglement and coherent states in an N-partite system

P. Dömötör, M. G. Benedict

Published 2008-10-10Version 1

We consider a quantum system consisting of N parts, each of which is a "quKit" described by a K dimensional Hilbert space. We prove that in the symmetric subspace, S, a pure state is not globally entangled, if and only if it is a coherent state. It is also shown that in the orthogonal complement all states are globally entangled.