Nonadiabatic Geometric Gates with a Shortened Loop in a Superconducting Circuit

Abstract

Scalable quantum computation demands high‐fidelity gate operation, which is required to be fast and robust. The geometric gate is considered to be robust to certain types of noises, while its duration time is normally longer than a dynamical routine. Herein, a universal nonadiabatic geometric gate with a shortened loop (NAGGSL) in a superconducting circuit is demonstrated. The methods of quantum state tomography (QST) and randomized benchmarking (RB) are used to characterize the gate fidelity, proving that the decoherence effect can be reduced by this protocol. Furthermore, the robustness of this approach against certain errors is demonstrated, indicating that this scheme is promising for future scalable quantum circuits.