Chinese Physics Letters
Separability of Generalized Graph Product States
Hui Zhao, Jiao Fan
Abstract
We construct two classes of generalized graph product states and study the entanglement of these states. It is first presented that the density matrices of complex edge-weighted digraphs associated with the generalized graph product in m⊗n systems are positive partial transformation and separable states. Then we prove that the density matrices of the vertex-weighted digraphs associated with another generalized graph product are entangled states.