Improved lowers bounds on GME-concurrence

刘立国, 田成林, 陈平形 +1 more

Zhihua Chen, Zhihao Ma, Jing‐Ling Chen +1 more

Genuine-multipartite-entanglement (GME) concurrence is a measure of genuine multipartite entanglement that generalizes the well-known notion of concurrence. We define an observable for GME concurrence. The observable permits us to avoid full state tomography and leads to different analytic lower bounds. By means of explicit examples we show that entanglement criteria based on the bounds have a better performance with respect to the known methods.

Ming Li, Shao-Ming Fei, Zhi‐Xi Wang

Jing Wang, Xue‐Na Zhu, Ming Li +2 more

Abstract As one of the important types of entanglement, genuine multipartite entanglement (GME) offers significant advantages in many quantum information processing tasks. We study the GME concurrence and present an improved lower bound of the GME concurrence for tripartite systems, which is shown to be much tighter than some existing ones. We show by detailed example that our new bound can detect more genuine tripartite entangled states. While it is a formidable task to compute the genuine tripartite entanglement concurrence analytically, our results give an effective operational way to estimate the genuine tripartite entanglement.

Ming Li, Lingxia Jia, Jing Wang +2 more

It is a computationally hard task to certify genuine multipartite entanglement (GME). We investigate the relation between the norms of the correlation vectors and the detection of GME for tripartite quantum systems. A sufficient condition for GME and an effective lower bound for the GME concurrence are derived. Several examples are considered to show the effectiveness of the criterion and the lower bound of GME concurrence.

Minki Hhan