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Detection of genuine multipartite entanglement based on local sum uncertainty relations

2021/02/13 by Li, Jun, Chen, Lin
#FOS: Physical sciences #Quantum Physics (quant-ph)

paper · doi:10.48550/arxiv.2102.06865

Abstract

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 n-partite W state when n = 3, 4, 5 and 6, and find that the criterion can detect more noisy W states when n ranges from 4 to 6. Moreover, the criterion is also used to detect the genuine entanglement of 3-qutrit state. The result is stronger than that based on GME concurrence and fisher information.

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