Unconditional measurement-based quantum computation with optomechanical continuous variables

Universal quantum computation encoded over continuous variables can be achieved via Gaussian measurements acting on entangled non-Gaussian states. However, due to the weakness of available nonlinearities, generally these states only prepared conditionally, potentially with low probability. Here we show how universal could implemented unconditionally using an integrated platform able sustain both linear and quadratic optomechanical-like interactions. Specifically, considering cavity opto- electromechanical systems, propose a realization driven-dissipative dynamics that deterministically prepares required cluster states---entangled squeezed multiple mechanical oscillators suitably interspersed cubic-phase We next demonstrate arbitrary nodes performed by continuously monitoring output field. Finally, feasibility requirements this approach are analyzed in detail, suggesting its building blocks within reach current technology.