Theory of control of optomechanical transducers for quantum networks

We present a scheme of control for the arbitrary optical interface mediated by a nanoscale mechanical oscillator between flying qubits and optical nonactive solid-state qubits. This quantum interface lays the foundation for many key functions of a quantum network, such as transferring, swapping, and entangling qubits between distant nodes of a quantum network. Numerical simulations of the quantum interface operations show high fidelities and robust tolerance under realistic experimental conditions. Compared with a previous scheme [K. Stannigel et al., Phys. Rev. Lett. 105, 220501 (2010)], it may significantly increase the speed of state transfer operation of high fidelity.