New Genuinely Multipartite Entanglement

Abstract

AbstractThe quantum entanglement as one of the important resources has been verified by using different local models. There is no efficient method to verify single multipartite entanglement that is not generated by multisource quantum networks with local operations and shared randomness. The goal in this work is to solve this problem. First, a new local model is proposed for describing all the states that can be generated by using distributed entangled states and shared randomness without classical communication. This model is stronger than the biseparable model and implies new genuinely multipartite entanglement. With the present local model it is proved that all the permutationally symmetric entangled pure states are new genuinely multipartite entanglement. It is further proved that the new feature holds for all the multipartite entangled pure states in the biseparable model with the dimensions of local systems being not larger than three. The new multipartite entanglement is also robust against general noises. Finally, a simple Bell inequality is provided to verify new genuinely multipartite entangled pure qubit states in the present model. The results show new insight into featuring the genuinely multipartite entanglement in the distributive scenarios.