  We propose to implement tunable interaction of superconducting flux qubits
with cavity-assisted interaction and strong driving. The qubits have a
three-level Lambda configuration, and the decay of the excited state will be
greatly suppressed due to the effective large detuning. The implemented
interaction is insensitive to the cavity field state and can be controlled by
modulating the phase difference of the driving fields of the qubits. In
particular, our scheme is based on the typical circuit QED setup and thus will
provide a simple method towards the tunable interaction of superconducting
qubits. Finally, we consider the generation of two and four qubits entangled
states with the constructed interaction under the influence of typical
decoherence effects.
