We suggest a scheme to implement a universal set of non-Abelian geometric
transformations for a single logical qubit composed of three superconducting
transmon qubits coupled to a single cavity. The scheme utilizes an adiabatic
evolution in a rotating frame induced by the effective tripod Hamiltonian which
is achieved by longitudinal driving of the transmons. The proposal is
experimentally feasible with the current state of the art and could serve as a
first proof of principle for geometric quantum computing.Comment: 7 pages, 5 figure
