Correcting Time-dependent Errors in the Qubit Control Pulses with Composite Pulses.

Qubit operations are typically vulnerable to imperfections in the underlying control pulses. The existing composite pulses (CPs) usually rely on the constancy of the error over time to mitigate systematic errors in the rabi frequency and in the detuning of the control pulses. Here we extend this technique to correct slow-varying, time-dependent errors by regarding the errors as superpositions of power-law drifts whose first-order effects on the qubit add linearly. We present several new CPs obtained with this technique, compare their simulated performance under time-dependent errors to available CPs, and provide a way to categorize them according to the suppressed power-law drifts and their ability to suppress higher-order effects.