,Separability of Generalized Graph Product States

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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.
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