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

Abstract

It is challenging task to detect and measure genuine multipartite entanglement. We investigate the problem by considering the average based positive partial transposition(PPT) criterion and the realignment criterion. Sufficient conditions for detecting genuine tripartite entanglement are presented. We also derive lower bounds for the genuine tripartite entanglement concurrence with respect to the conditions. While the PPT criterion and the realignment criterion are powerful for detecting bipartite entanglement and for providing lower bounds of bipartite concurrences, our results give an effective operational way to detect and measure the genuine tripartite entanglement.

10 pages, 2 figures

References in corpus (6)

• Entanglement detection
• Measure of genuine multipartite entanglement with computable lower bounds
• Witnessing genuine multipartite entanglement with positive maps
• Determining lower bounds on a measure of multipartite entanglement from few local observables
• Characterizing multipartite entanglement without shared reference frames
• Improved lower bounds on genuine-multipartite-entanglement concurrence