  Implementation of discrete-time quantum walk (DTQW) with superconducting
qubits is difficult since on-chip superconducting qubits cannot hop between
lattice sites. We propose an efficient protocol for the implementation of DTQW
in circuit quantum electrodynamics (QED), in which only $N+1$ qutrits and $N$
assistant cavities are needed for an $N$-step DTQW. The operation of each DTQW
step is very quick because only resonant processes are adopted. The numerical
simulations show that high-similarity DTQW with the number of step up to $20$
is feasible with present-day circuit QED technique. This protocol can help to
study properties and applications of large-step DTQW in experiments, which is
important for the development of quantum computation and quantum simulation in
circuit QED.
