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Universal quantum computation encoded over continuous variables can beachieved via Gaussian measurements acting on entangled non-Gaussian states.However, due to the weakness of available nonlinearities, generally thesestates can only be prepared conditionally, potentially with low probability.Here we show how universal quantum computation could be implementedunconditionally using an integrated platform able to sustain both linear andquadratic optomechanical-like interactions. Specifically, considering cavityopto- and electro-mechanical systems, we propose a realisation of adriven-dissipative dynamics that deterministically prepares the requirednon-Gaussian cluster states -- entangled squeezed states of multiple mechanicaloscillators suitably interspersed with cubic-phase states. We next demonstratehow arbitrary Gaussian measurements on the cluster nodes can be performed bycontinuously monitoring the output cavity field. Finally, the feasibilityrequirements of this approach are analysed in detail, suggesting that itsbuilding blocks are within reach of current technology.

Unconditional measurement-based quantum computation with optomechanical continuous variables