Superconducting qubits coupled to torsional resonators

We propose a scheme of strong and tunable coupling between a superconducting phase qubit and a nanomechanical torsional resonator. In our scheme the torsional resonator directly modulates the largest energy scale (the Josephson coupling energy) of the phase qubit, and the coupling strength is very large. We analyze the quantum correlation effects in the torsional resonator as a result of the strong coupling to the phase qubit.