  The implementation of holonomic quantum computation on superconducting
quantum circuits is challenging due to the general requirement of controllable
complicated coupling between multilevel systems. Here we solve this problem by
proposing a scalable circuit QED lattice with simple realization of a universal
set of nonadiabatic holonomic quantum gates. Compared with the existing
proposals, we can achieve both the single and two logical qubit gates in an
tunable and all-resonant way through a hybrid transmon-transmission-line
encoding of the logical qubits in the decoherence-free subspaces. This distinct
advantage thus leads to quantum gates with very fast speeds and consequently
very high fidelities. Therefore, our scheme paves a promising way towards the
practical realization of high-fidelity nonadiabatic holonomic quantum
computation.
