Reversible quantum state transfer in a three-mode optomechanical system

Abstract Quantum state transfer between two nodes is a basic task of long-distance quantum communication. In this paper, we propose a general protocol to transfer quantum state between optical and microwave modes in a three-mode optomechanical system based on transitionless quantum driving. By choosing a well-designed path, the reversible transfer between optical and microwave modes can be achieved in the shorter time than adiabatic passage method. We further apply this idea for implementing the quantum state transfer between optical or microwave and mechanical modes. Numerical simulation results show that the protocol is robust against the cavity decay and mechanical damping. Therefore, this work provides a new method for quantum state transfer between two optical modes with distinct wavelengths in the optomechanical system, which may have great application prospect in quantum communication.