Automated Synthesis of Dynamically Corrected Quantum Gates

TL;DR

This paper presents an automated method using optimal control theory to synthesize dynamically corrected quantum gates that are robust against decoherence and control errors, specifically applied to singlet-triplet electron spin qubits.

Contribution

It introduces an automated approach for constructing robust quantum gates in complex, constrained environments where traditional analytical methods are ineffective.

Findings

Sequences significantly improve gate fidelity under realistic conditions.

Method adapts to control limitations and noise in non-Markovian quantum systems.

Provides explicit pulse sequences for robust single-qubit rotations.

Abstract

We address the problem of constructing dynamically corrected gates for non-Markovian open quantum systems in settings where limitations on the available control inputs and/or the presence of control noise make existing analytical approaches unfeasible. By focusing on the important case of singlet-triplet electron spin qubits, we show how ideas from optimal control theory may be used to automate the synthesis of dynamically corrected gates that simultaneously minimize the system's sensitivity against both decoherence and control errors. Explicit sequences for effecting robust single-qubit rotations subject to realistic timing and pulse-shaping constraints are provided, which can deliver substantially improved gate fidelity for state-of-the-art experimental capabilities.