Fig. 3: Control fidelity and geometric quantum computation.
From: High-fidelity geometric quantum gates exceeding 99.9% in germanium quantum dots
a Sequence fidelities for reference (abbreviated as “Ref'') and each interleaved characterized by RB, where N represents the number of Clifford gates in the reference sequences. The control fidelity is shown below the corresponding curves. b The control fidelities of the dynamical gate set extracted by GST as a function of fRabi. The black dashed arrows guide the eyes, indicating the tendency of the fidelity. The light gray line represents the 99% control fidelity threshold. As the Rabi frequency increases, the control fidelities of X/2 and Y/2 gates gradually improve to nearly 99.9%, whereas the I gate control fidelity saturates at 97.48%. Error bars represent the 95% confidence level. c The schematic of the evolution path Path2. d The control fidelities of the geometric gate Path2 as a function of fRabi. The average control fidelity exceeds 99% at each fRabi, demonstrating the superiority of geometric gates. The light gray line denotes the 99% control fidelity threshold, consistent with panel b. The data points consistently exceed the reference line at each fRabi. This demonstrates the superior performance of the geometric gates. Error bars represent the 95% confidence level.
