The generation of genuine quadripartite Einstein–Podolsky–Rosen steering in an optical superlattice

Abstract

Einstein–Podolsky–Rosen (EPR) steering is a quantum effect based on quantum entanglement and it is the key resource for building quantum networks because of its useful properties. Based on the criterion for genuine multipartite EPR steering, the genuine quadripartite EPR steering is confirmed and it can be generated by a spontaneous parametric down-conversion cascaded process with two sum-frequency generations in an optical superlattice. This occurs either below the oscillation threshold and without oscillation threshold. The influence of the parameters of cascaded nonlinear process on the quadripartite EPR steering among signal, idler, and two sum-frequency beams are also discussed. Choosing appropriate nonlinear parameters can achieve good quadripartite quantum steering. This scheme of the generation of genuine quadripartite EPR steering has potential applications in quantum communication and computing.

One to many one-way control in quadripartite asymmetric Einstein-Podolsky-Rosen steering

“…Chen et al investigated the asymmetric EPR steering [29] and tripartite EPR steering [30] in the processes of three-photon parametric down-conversion. Shen et al [31] proposed a scheme to produce quadripartite EPR steering in an optical superlattice. Olsen [32] proposed to control asymmetric EPR steering in nondegenerate optical parametric oscillator with an injected signal.…”