  We propose a protocol that enables strong coupling between a flux qubit and
the quantized motion of a magnetized nanomechanical cantilever. The flux qubit
is driven by microwave fields with suitable parameters to induce sidebands,
which will lead to the desired coupling. We show that the nanomechanical modes
can be cooled to the ground states and the single-mode squeezed vacuum states
can be generated via fast dissipation of the flux qubit. In our scheme, the
qubit decay plays a positive role and can help drive the system to the target
states.
