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It is challenging task to detect and measure genuine multipartiteentanglement. We investigate the problem by considering the average basedpositive partial transposition(PPT) criterion and the realignment criterion.Sufficient conditions for detecting genuine tripartite entanglement arepresented. We also derive lower bounds for the genuine tripartite entanglementconcurrence with respect to the conditions. While the PPT criterion and therealignment criterion are powerful for detecting bipartite entanglement and forproviding lower bounds of bipartite concurrences, our results give an effectiveoperational way to detect and measure the genuine tripartite entanglement.

Detection and measure of genuine tripartite entanglement with partial transposition and realignment of density matrices