Fig. 4: Noise-resilient feature of single-qubit geometric gates.
From: High-fidelity geometric quantum gates exceeding 99.9% in germanium quantum dots
The upper panels of a–c show that control fidelities of the I, X/2 and Y/2 gates, realized by both geometric and dynamical approaches, as a function of Δf. The light gray lines represent a 99% control fidelity threshold. Notably, even with detuning Δf by ±2.5 MHz (±1.2 MHz), the control fidelities of geometric X/2 and Y/2 (I) gates can still reach 99%. The differences in the control fidelities between the two approaches are displayed in the lower panels. The black dashed arrows serve as visual guides to emphasize that as Δf increases, the control fidelities of the dynamical gates decrease faster than those of the geometric gate. Error bars represent the 95% confidence level. The experimental results are consistent with the numerical simulations (blue and red dashed lines).
