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We propose dynamical schemes to engineer coherent states of a mechanicalresonator coupled to an ancillary, superconducting flux qubit. The flux qubit,when repeatedly projected on to its ground state drives the mechanicalresonator in to a coherent state in probabilistic, albeit heralded fashion.Assuming no operations on the state of the mechanical resonator during theprotocol, coherent states are successfully generated only up to a certain valueof the displacement parameter. This restriction can be overcome at the cost ofa one-time operation on the initial state of the mechanical resonator. Wediscuss the possibility of experimental realization of the presented schemes.

Driving a mechanical resonator in to coherent states via random measurements