Robust pulses for high fidelity non-adiabatic geometric gate operations in an off-resonant three-level system

Highlights: • A method to design robust pulses to perform non-adiabatic geometric gate operations in an off-resonant system is proposed. • Multiple degrees of freedom available in pulse parameters can be optimized to achieve a higher robustness. • Robustness of fidelity against frequency detuning is enhanced with our pulse than Gaussian and square pulses. • Pulse shape may be tailored to ensure robustness against imperfections in other physical quantities. -- Abstract: We propose a method to design pulses in a resonant three-level system to enhance the robustness of non-adiabatic geometric gate operations. By optimizing the shape of the pulse envelope, we show that the gate operations are more robust against frequency detuning than they are with Gaussian and square pulses. Our method provides a way to design pulses that can be employed in a system where robustness against frequency variations or inhomogeneous broadening is required, and may be extended to ensure robustness against other physical imperfections such as intensity fluctuations and random noises.