Eur. Phys. J. D 53, 237-242 (2009)
https://doi.org/10.1140/epjd/e2009-00106-9

Global entanglement and coherent states in an N-partite system

Department of Theoretical Physics, University of Szeged, 6720 Szeged, Hungary

Corresponding author: ^a benedict@physx.u-szeged.hu

Received: 20 October 2008
Revised: 4 December 2008
Published online: 26 March 2009

Abstract

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, , 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.