Continuous variable tripartite entanglement and steering using a third-order nonlinear optical interaction

Nonlinear optical devices are very useful for generating entanglement. One proposal for the generation of genuine tripartite entanglement [ Phys. Rev. Lett. 120 , 043601 ( 2018 ) PRLTAO 0031-9007 10.1103/PhysRevLett.120.043601 ] is to use a third-order nonlinear optical interaction. Here, we investigate a generalization of this, where we consider the quantum nature of all modes; moreover, we also investigate quantum steering, which is a stronger and asymmetric non-local correlation. We show that the final state presents not only tripartite continuous variable entanglement but also tripartite steering.