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Detection of genuine multipartite entanglement in multipartite systems

Zhao, J., Zhao, H., Naihuan Jing, Fei, S.

Published Jan 1, 2019• 6 citations
OpenAlex

Abstract

We investigate genuine multipartite entanglement in general multipartite systems. Based on the norms of the correlation tensors of a multipartite state under various partitions, we present an analytical sufficient criterion for detecting the genuine four-partite entanglement. The results are generalized to arbitrary multipartite systems.

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Genuine multipartite entanglement (GME) offers more significant advantages in quantum information compared with entanglement. We propose a sufficient criterion for the detection of GME based on local sum uncertainty relations for chosen observables of subsystems. We apply the criterion to detect the GME properties of noisy nnn-partite W state when n=3,4,5n = 3, 4, 5n=3,4,5 and 666, and find that the criterion can detect more noisy W states when nnn ranges from 4 to 6. Moreover, the criterion is also used to detect the genuine entanglement of 333-qutrit state. The result is stronger than that based on GME concurrence and fisher information.