Superconducting qubit gates via analytically-derived accelerated adiabatic pulses.*

Qubit gates based on adiabatic evolution are appealing as they are robust against small imperfections in the control pulses. Unfortunately, due to their long evolution times, these gates are especially susceptible to dissipation. Recent work [1] has shown how shortcuts to adiabaticity (STA) can be used to design accelerated versions of such gates that completely cancel non-adiabatic errors. However, like almost all STA methods, this approach assumes an idealized rotating-wave approximation (RWA) Hamiltonian that ignores spurious leakage levels. Here, we discuss an analytic approach that allows one to go beyond these limitations. Our approach results in analytically-derived pulse shapes that correct both non-adiabatic errors as well as non-RWA and leakage effects. We show in detail how our approach can be used to analytically design high-fidelity gates in a realistic superconducting fluxonium qubit.

[1] H. Ribeiro and A. A. Clerk, Phys. Rev. A 100, 032323 (2019).