We propose and analyze a nanomechanical architecture where light is used to perform linear quantum operations on a set of many vibrational modes. Suitable amplitude modulation of a single laser beam is shown to generate squeezing, entanglement, and state-transfer between modes that are selected according to their mechanical oscillation frequency. Current optomechanical devices based on photonic crystals may provide a platform for realizing this scheme.
Schmidt, M., Ludwig, M., & Marquardt, F. (2012). Optomechanical circuits for nanomechanical continuous variable quantum state processing. New Journal of Physics, 14. https://doi.org/10.1088/1367-2630/14/12/125005