# Robust quantum gates for stochastic time-varying noise

## TL;DR

This paper presents a systematic method for designing robust quantum gates that can withstand both low- and high-frequency stochastic time-varying noise, advancing the development of fault-tolerant quantum computing.

## Contribution

The authors develop a versatile approach to generate smooth, noise-resilient pulses for quantum gates, applicable across various system and noise models.

## Key findings

- Method effectively suppresses noise across frequency spectrum
- Produces single smooth pulses for robust gate operations
- Outperforms filter-transfer-function method in simulations

## Abstract

How to effectively construct robust quantum gates for time-varying noise is a very important but still outstanding problem. Here we develop a systematic method to find pulses for quantum gate operations robust against both low- and high-frequency (comparable to the qubit transition frequency) stochastic time-varying noise. Our approach, taking into account the noise properties of quantum computing systems, can output single smooth pulses in the presence of multi-sources of noise. Furthermore, our method can be applied to different system models and noise models, and will make essential steps toward constructing high-fidelity and robust quantum gates for fault-tolerant quantum computation. Finally, we discuss and compare the gate operation performance by our method with that by the filter-transfer-function method.