Detection of genuine multipartite entanglement based on local sum uncertainty relations

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.

References in corpus (9)

• Entanglement detection
• Taming multiparticle entanglement
• Concurrence of arbitrary dimensional bipartite quantum states
• Optimal entanglement criterion for mixed quantum states
• Lower bounds on concurrence and separability conditions
• Optimal entanglement witnesses based on local orthogonal observables
• Improved lower bounds on genuine-multipartite-entanglement concurrence
• Measure and detection of genuine multipartite entanglement for tripartite systems
• Quantum Fisher information-based detection of genuine tripartite entanglement