We propose dynamical schemes to engineer coherent states of a mechanical resonator coupled to an ancillary, superconducting flux qubit. The flux qubit, when repeatedly projected on to its ground state drives the mechanical resonator in to a coherent state in probabilistic, albeit heralded fashion. Assuming no operations on the state of the mechanical resonator during the protocol, coherent states are successfully generated only up to a certain value of the displacement parameter. This restriction can be overcome at the cost of a one-time operation on the initial state of the mechanical resonator. We discuss the possibility of experimental realization of the presented schemes.
@article{arxiv.1305.0290,
title = {Driving a mechanical resonator in to coherent states via random measurements},
author = {Lluc Garcia and Ravindra W. Chhajlany and Yong Li and Lian-Ao Wu},
journal= {arXiv preprint arXiv:1305.0290},
year = {2013}
}