Optimal qubit control using single flux quantum pulses

Single flux quantum (SFQ) pulses are a natural candidate for on-chip control of superconducting qubits. We perform single qubit gates at a constant gate time using trains of single flux quantum pulses with fixed amplitudes. The pulse sequence is optimized by applying genetic algorithms, which decreases the gate error by two orders of magnitude compared to an evenly spaced pulse train. Hereby, we consider leakage transitions into a third energy level as well. Timing jitter of the pulses is taken into account, exploring the robustness of our optimized sequence. This takes us one step further to on-chip qubit controls.