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 S⊥ all states are globally entangled.
ASJC Scopus subject areas
- Atomic and Molecular Physics, and Optics