  Nonadiabatic geometric quantum computation is dedicated to the realization of
high-fidelity and robust quantum gates, which is the necessity of
fault-tolerant quantum computation. However, it is limited by cyclic and
mutative evolution path, which usually requires longer gate-time and abrupt
pulse control, and thus weaken the gate performance. Here, we propose a scheme
to realize geometric quantum gates with noncyclic and nonadiabatic evolutions,
which effectively shorten the gate duration, and universal quantum gates can be
realized in one step without path mutation. Our numerical simulation shows
that, comparing with the conventional dynamical gates, the constructed
geometric gates have stronger resistant not only to noise but also to
decoherence effect. In addition, our scheme can also be implemented on a
superconducting circuit platform, with the fidelities of single-qubit and
two-qubit gates higher than 99.97$\%$ and 99.84$\%$, respectively. Therefore,
our scheme provides a promising way to realize high-fidelity fault-tolerant
quantum gates for scalable quantum computation.
