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.
Highlights
Quantum entanglement is recognized as a remarkable resource in the rapidly expanding field of quantum information science, with various applications[1]
We will derive an effective criterion based on partial transpose elements defined (PPT) and CCNR
We present a criterion to detect GME for tripartite qudits systems by using the PPT and CCNR
Summary
We present a criterion to detect GME for tripartite qudits systems by using the PPT and CCNR criteria.
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