  We present a scheme for the implementation of three qubit Grover's algorithm
using four-level superconducting quantum interference devices (SQUIDs) coupled
to a superconducting 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.
