https://doi.org/10.1140/epjp/s13360-020-01036-w
Regular Article
Measure and detection of genuine multipartite entanglement for n-partite systems
1
Department of Mathematics, South China University of Technology, 510640, Guangzhou, People’s Republic of China
2
Laboratory of Quantum Science and Engineering, South China University of Technology, 510641, Guangzhou, People’s Republic of China
3
College of Mathematics and Physics Science, Hunan University of Arts and Science, 415000, Changde, People’s Republic of China
4
Department of Physics, Renmin University of China, 100872, Beijing, People’s Republic of China
5
School of Mathematical Sciences, Capital Normal University, 100048, Beijing, People’s Republic of China
6
Max-Planck-Institute for Mathematics in the Sciences, 04103, Leipzig, Germany
Received:
26
October
2020
Accepted:
21
December
2020
Published online:
1
January
2021
We investigate genuine multipartite entanglement (GME) in n-partite systems. The norms of the correlation vectors are used as a powerful tool to dealing with the detection of GME for n-partite quantum systems. A sufficient condition for detecting GME in general multipartite systems is presented. Moreover, an effective lower bound of the GME concurrence is derived, which gives a useful way to measure the GME. Several examples are considered to show the effectiveness of the criterion and the lower bound of GME concurrence.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021
