resonator. The scheme is based on resonant, off-resonant interaction of the cavity field with SQUIDs and the application of classical microwave pulses. We show that adjustment of SQUID level spacing during the gate operations, adiabatic passage, and second-order detuning are not required that leads to faster implementation. We also show that the marked state can be searched with high fidelity even in the presence of level decay and cavity dissipation.