Measure and detection of genuine multipartite entanglement for tripartite systems
Ming Li, Lingxia Jia, Jing Wang, Shuqian Shen, and Shao-Ming Fei
TL;DR
This paper develops a new criterion based on correlation vector norms to detect genuine multipartite entanglement in tripartite quantum systems, providing effective bounds and demonstrating their utility through examples.
Contribution
It introduces a novel criterion for GME detection and a lower bound for GME concurrence, advancing the computational methods for certifying multipartite entanglement.
Findings
The criterion effectively detects GME in tripartite systems.
Derived lower bounds improve quantification of GME concurrence.
Examples demonstrate the criterion's practical effectiveness.
Abstract
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.
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