  Quantum computation based on nonadiabatic geometric phases has attracted a
broad range of interests, due to its fast manipulation and inherent noise
resistance. However, it is limited to some special evolution paths, and the
gate-times are typically longer than conventional dynamical gates, resulting in
weakening of robustness and more infidelities of the implemented geometric
gates. Here, we propose a path-optimized scheme for geometric quantum
computation on superconducting transmon qubits, where high-fidelity and robust
universal nonadiabatic geometric gates can be implemented, based on
conventional experimental setups. Specifically, we find that, by selecting
appropriate evolution paths, the constructed geometric gates can be superior to
their corresponding dynamical ones under different local errors. Numerical
simulations show that the fidelities for single-qubit geometric Phase, $\pi/8$
and Hadamard gates can be obtained as $99.93\%$, $99.95\%$ and $99.95\%$,
respectively. Remarkably, the fidelity for two-qubit control-phase gate can be
as high as $99.87\%$. Therefore, our scheme provides a new perspective for
geometric quantum computation, making it more promising in the application of
large-scale fault-tolerant quantum computation.
