  Qutrits (i.e., three-level quantum systems) can be used to achieve many
quantum information and communication tasks due to their large Hilbert spaces.
In this work, we propose a scheme to transfer an unknown quantum state between
two flux qutrits coupled to two superconducting coplanar waveguide resonators.
The quantum state transfer can be deterministically achieved without
measurements. Because resonator photons are virtually excited during the
operation time, the decoherences caused by the resonator decay and the unwanted
inter-resonator crosstalk are greatly suppressed. Moreover, our approach can be
adapted to other solid-state qutrits coupled to circuit resonators. Numerical
simulations show that the high-fidelity transfer of quantum state between the
two qutrits is feasible with current circuit QED technology.
