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.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.

arXiv:2102.06865Feb 13, 20210 citations

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.