Greenberger-Horne-Zeilinger Entanglement of Six Separated Resonators via Concurrent Parametric Down-Conversion

Abstract

We present an alternative scheme for generating six-partite continuous variable Greenberger-Horne-Zeilinger entanglement of the separated resonators that are interconnected by two driven three-level Δ-type superconducting qubits. We find that the concurrent parametric interactions, which decoupled from the degrees of freedom of the superconducting qubit, could occur among six distant resonators via adjusting the detunings, Rabi frequencies and coupling constants. It is based on such a nonlinear interaction that six separated resonators are pulled into a stable entangled state, which is independent of the original state of the qubits and is also insensitive to their decoherence. The root of entanglement generation is attributed to the coherently induced parametric interactions that exist simultaneously among six distant resonators. The scheme we present will provide a promising method for the scalable quantum information processing with continuous variables in the solid-state system.