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.
@article{arxiv.2102.06865,
title = {Detection of genuine multipartite entanglement based on local sum uncertainty relations},
author = {Jun Li and Lin Chen},
journal= {arXiv preprint arXiv:2102.06865},
year = {2021}
}