Robust Parametric Quantum Gate Against Stochastic Time-Varying Noise

TL;DR

This paper introduces FF-QCRL, a novel method that enhances quantum control robustness against complex, time-varying noise in quantum processors, improving the reliability of quantum gates in realistic noisy environments.

Contribution

It extends the quantum control robustness landscape framework by integrating filter function formalism to handle stochastic, time-varying noise, enabling more effective robust control pulse design.

Findings

Numerical validation shows improved robustness of quantum gates under realistic noise.

FF-QCRL effectively encodes stochastic noise impacts in the control optimization.

The method outperforms previous approaches limited to quasi-static noise.

Abstract

The performance of quantum processors in the noisy intermediate-scale quantum (NISQ) era is severely constrained by environmental noise and other uncertainties. While the recently proposed quantum control robustness landscape (QCRL) offers a powerful framework for generating robust control pulses for parametric gate families, its application has been practically restricted to quasi-static noise. To address the spectrally complex, time-varying noise prevalent in reality, we propose filter function-enhanced QCRL (FF-QCRL), which integrates filter function formalism into the QCRL framework. The resulting FF-QCRL algorithm minimizes a generalized robustness metric that faithfully encodes the impact of stochastic processes, enabling robust pulse-family generation for parametric gates under realistic time-varying noise. Numerical validation in a representative single-qubit setting confirms the effectiveness of the proposed method.