  We present a one-step scheme to construct the controlled-phase gate
deterministically on remote transmon qutrits coupled to different resonators
connected by a superconducting transmission line for an universal distributed
quantum computing. Different from previous works on remote superconducting
qubits, the present gate is implemented with coherent evolutions of the entire
system in the all-resonance regime assisted by the dark photons to robust
against the transmission line loss, which allows the possibility of the complex
designation of a long-length transmission line to link lots of circuit QEDs.
The length of the transmission line can reach the scale of several meters,
which makes our scheme is suitable for the large-scale distributed quantum
computing. This gate is a fast quantum entangling operation with a high
fidelity of about 99%. Compare with previous works in other quantum systems for
a distributed quantum computing, under the all-resonance regime, the present
proposal does not require classical pulses and ancillary qubits, which relaxes
the difficulty of its implementation largely.
