,Separability criteria based on Heisenberg-Weyl representation of density matrices

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Separability is an important problem in theory of quantum entanglement.By using the Bloch representation of quantum states in terms of the Heisenberg-Weyl observable basis,we present a new separability criterion for bipartite quantum systems.It is shown that this criterion can be better than the previous ones in detecting entanglement.The results are generalized to multipartite quantum states.
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