  The high-speed implementation and robustness against of non-adiabatic
holonomic quantum computation provide a new idea for overcoming the difficulty
of quantum system interacting with the environment easily decoherence, which
realizing large-scale quantum computer construction. Here, we show that a
high-fidelity quantum gates to implement non-adiabatic holonomic quantum
computation under solid-state spin in Nitrogen-Vacancy(NV) centers, providing
an extensible experimental platform that has the potential for room-temperature
quantum computing, which has increased attention recent years. Compared with
the previous method, we can implement both the one and two-qubit gates by
varying the amplitude and phase of the microwave pulse applied to control the
non-Abelian geometric phase acquired by NV centers. We also find that our
proposed scheme may be implemented in the current experiment to discuss the
gate fidelity with the experimental parameters. Therefore, the scheme adopts a
new method to achieve high-fidelity non-adiabatic holonomic quantum
computation.
