Scheme for quantum teleportation between nanomechanical modes

Abstract

We study a quantum teleportation scheme between two nanomechanical modes without local interaction. The nanomechanical modes are linearly coupled to and connected by the continuous variable modes of a superconducting circuit consisting of a transmission line and Josephson junctions. We calculate the fidelity of transferring Gaussian states at finite temperature and nonunit detector efficiency. For coherent states, a fidelity above the classical limit of $1∕2$ can be achieved for a large range of parameters.