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Quantum gates are typically vulnerable to imperfections in the classicalcontrol fields applied to physical qubits to drive the gates. One approach toreduce this source of error is to break the gate into parts, known as compositepulses (CPs), that typically leverage the constancy of the error over time tomitigate its impact on gate fidelity. Here we extend this technique to suppresssecular drifts in Rabi frequency by regarding them as sums of power-law driftswhose first-order effects on over- or under-rotation of the state vector addlinearly. Power-law drifts have the form $t^p$ where $t$ is time and theconstant $p$ is its power. We show that composite pulses that suppress allpower-law drifts with $p \leq n$ are also high-pass filters of filter order$n+1$ arXiv:1410.1624. We present sequences that satisfy our proposed power-lawamplitude criteria, $\text{PLA}(n)$, obtained with this technique, and comparetheir simulated performance under time-dependent amplitude errors to sometraditional composite pulse sequences. We find that there is a range of noisefrequencies for which the $\text{PLA}(n)$ sequences provide more errorsuppression than the traditional sequences, but in the low frequency limit,non-linear effects become more important for gate fidelity than frequencyroll-off. As a result, the previously known $F_1$ sequence, which is one of thetwo solutions to the $\text{PLA}(1)$ criteria and furnishes suppression of bothlinear secular drift and the first order nonlinear effects, is a sharper noisefilter than any of the other $\text{PLA}(n)$ sequences in the low frequencylimit.

Quantum Gates Robust to Secular Amplitude Drifts