High-Fidelity Geometric Quantum Gates with Short Paths on Superconducting Circuits

Geometric phases are robust against certain types of local noises, and thus provide a promising way toward high-fidelity quantum gates. However, comparing with the dynamical ones, previous implementations of nonadiabatic geometric quantum gates usually require longer evolution time, due to the needed longer evolution path. Here, a scheme is proposed to realize nonadiabatic geometric quantum gates with short paths based on simple pulse control techniques, instead of deliberated pulse control in previous investigations, which can thus further suppress the influence from the environment induced noises. Specifically, the idea is illustrated on a superconducting quantum circuit, which is one of the most promising platforms for realizing practical quantum computer. As the current scheme shortens the geometric evolution path, ultra-high gate fidelity can be obtained, especially for the two-qubit gate case, as verified by the numerical simulation. Therefore, the protocol suggests a promising way toward high-fidelity and robust quantum computation on a solid-state quantum system.