Nonlocal nondegenerate optical parametric amplifier based on genuine multipartite entanglement

We propose a scheme for realizing nonlocal nondegenerate optical parametric amplifier by means of genuine four-mode entanglement. The nondegenerate optical parametric amplifier is regarded as a unitary transformation from two input fields to two outputs. Two inputs and two outputs are located at the remote stations, respectively. Employing off-line four-mode entanglement, homodyne detection, classical communication, and local displacement, the nonlocal nondegenerate optical parametric amplifier can be achieved. This scheme can be implemented with a setup that is experimentally accessible at present.