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Inevitable interactions with the reservoir largely degrade the performance ofnon-local gates, which hinders practical quantum computation from coming intoexistence. Here we experimentally demonstrate a 99.920(7)\%-fidelitycontrolled-NOT gate by suppressing the complicated noise in a solid-state spinsystem at room temperature. We found that the fidelity limited at 99\% inprevious works results from only considering static noise, and thus, in thiswork, time-dependent noise and quantum noise are also included. All noises aredynamically corrected by an exquisitely designed shaped pulse, giving theresulting error below $10^{-4}$. The residual gate error is mainly originatedfrom the longitudinal relaxation and the waveform distortion that can both befurther reduced technically. Our noise-resistant method is universal, and willbenefit other solid-state spin systems.

99.92%-Fidelity CNOT Gates in Solids by Filtering Time-dependent and Quantum Noises