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We show how to dissipatively stabilize the quantum state of $N$ mechanicalresonators in an optomechnical system, where the resonators interact byradiation pressure with $N$ optical modes, which are driven by properlyselected multifrequency drives. We analyze the performance of this approach forthe stationary preparation of Gaussian cluster states.

Generation of stable Gaussian cluster states in optomechanical systems with multifrequency drives