  Geometric phases are robust to local noises and the nonadiabatic ones can
reduce the evolution time, thus nonadiabatic geometric gates have strong
robustness and can approach high fidelity. However, the advantage of geometric
phase has not being fully explored in previous investigations. Here, we propose
a scheme for universal quantum gates with pure nonadiabatic and noncyclic
geometric phases from smooth evolution paths. In our scheme, only geometric
phase can be accumulated in a fast way, and thus it not only fully utilizes the
local noise resistant property of geometric phase but also reduces the
difficulty in experimental realization. Numerical results show that the
implemented geometric gates have stronger robustness than dynamical gates and
the geometric scheme with cyclic path. Furthermore, we propose to construct
universal quantum gate on superconducting circuits, with the fidelities of
single-qubit gate and nontrivial two-qubit gate can achieve $99.97\%$ and
$99.87\%$, respectively. Therefore, these high-fidelity quantum gates are
promising for large-scale fault-tolerant quantum computation.
