LAUSR

Quantum gates are typically vulnerable to imperfections in the classical control fields applied to physical qubits to drive the gates. One approach to reduce this source of error is to break the gate into parts, known as composite pulses (CPs), that typically leverage the constancy of the error over time to mitigate its impact on gate fidelity. Here we extend this technique to suppress secular drifts in Rabi frequency by regarding them as sums of power-law drifts whose first-order effects on overor under-rotation of the state vector add linearly. We show that composite pulses that suppress the power-law drifts t for all p ≤ n are also high-pass filters of filter order n+1 [1]. We present sequences that satisfy our proposed power law amplitude PLA(n) criteria, obtained with this technique, and compare their simulated performance under time-dependent amplitude errors to some traditional composite pulse sequences. We find that there is a range of noise frequencies for which the PLA(n) sequences provide more error suppression than the traditional sequences, but in the low frequency limit, nonlinear effects become more important for gate fidelity than frequency roll-off. As a result, the previously known F1 sequence, which is one of the two solutions to the PLA(1) criteria and furnishes suppression of both linear secular drift and the first order nonlinear effects, is a better noise filter than any of the other PLA(n) sequences in the low frequency limit.