Four-mode entangled states in coupled nonlinear optical processes and teleportation of two-mode entangled CV state

Abstract

We consider the forming of a four-mode entangled state for continuous variables (CV) in coupled optical parametric processes. The processes comprise one down-conversion process and two up-conversion ones. Such interactions can simultaneously be realized in a single aperiodical nonlinear photonic crystal. To reveal the entanglement between continuous variables at generated frequencies, the different criteria of the separability have been applied. We also consider teleportation of two-mode entangled CV state using the created four-mode state. It is shown that in the proposed scheme the fidelity of entangled CV teleportation can be almost perfect.