A NOTE ON ENTANGLEMENT CLASSIFICATION FOR TRIPARTITE MIXED STATES

We study the classification of entanglement in tripartite systems by using Bell-type inequalities and principal basis. By using Bell functions and the generalized three dimensional Pauli operators, we present a set of Bell inequalities which classifies the entanglement of triqutrit fully separable and bi-separable mixed states. By using the correlation tensors in the principal basis representation of density matrices, we obtain separability criteria for fully separable and bi-separable 2 circle times 2 circle times 3 quantum mixed states. Detailed example is given to illustrate our criteria in classifying the tripartite entanglement.