Multiple-noise-resilient nonadiabatic geometric quantum control of solid-state spins in diamond

Reliable and robust control lies at the core of implementing quantum information processing with nitrogen-vacancy (NV) centers in diamond. However, control pulses inevitably introduce multiple errors, leading to decoherence and hindering scalable applications. Here, we experimentally report an experiment-friendly multiple-noise-resilient nonadiabatic geometric quantum gate (MNR-NGQG) that can significantly improve the conventional dynamical gate in both robustness and coherence. Notably, even when the detuning fluctuation range is comparable to the maximum Rabi frequency, the single-qubit gate performance of the MNR-NGQG remains almost unchanged. Additionally, the coherence decay time of the electron spin under MNR-NGQG driving is significantly extended to 690 $\ifmmode\pm\else\textpm\fi{}$ 30 $\textmu{}\mathrm{s}$, 3.5 times longer than that of the naive dynamical counterpart. As a result, the fidelity of single-qubit gates reaches 0.9992(1), as characterized by quantum process tomography. With its experimentally feasible design and relaxed hardware requirements, our work offers a solid paradigm for achieving high-fidelity quantum control in the NV center system, paving the way for practical applications in quantum information science.