  High-fidelity quantum gates are essential for large-scale quantum
computation. However, any quantum manipulation will inevitably affected by
noises, systematic errors and decoherence effects, which lead to infidelity of
a target quantum task. Therefore, implementing high-fidelity, robust and fast
quantum gates is highly desired. Here, we propose a fast and robust scheme to
construct high-fidelity holonomic quantum gates for universal quantum
computation based on resonant interaction of three-level quantum systems via
shortcuts to adiabaticity. In our proposal, the target Hamiltonian to induce
noncyclic non-Abelian geometric phases can be inversely engineered with less
evolution time and demanding experimentally, leading to high-fidelity quantum
gates in a simple setup. Besides, our scheme is readily realizable in physical
system currently pursued for implementation of quantum computation. Therefore,
our proposal represents a promising way towards fault-tolerant geometric
quantum computation.
