Implementation of a shooting technique for quantum optimal control on spin qudits
Paul-Louis Etienney, Paul-Antoine Hervieux, Denis Jankovic, Killian Lutz, Emmanuel Franck, Jean-Gabriel Hartmann

TL;DR
This paper presents a shooting-based method for designing smooth control pulses to implement quantum gates on spin qudits, outperforming GRAPE especially in higher dimensions.
Contribution
A novel shooting-based approach for quantum control that produces faster, smooth pulses for spin qudits, improving scalability over existing methods.
Findings
Method yields smoother control pulses.
Faster than GRAPE for higher-dimensional systems.
Demonstrated on systems inspired by single molecule magnets.
Abstract
High-fidelity control of quantum systems is essential for scalable quantum technologies. We introduce a shooting-based method which yields smooth control pulses designed to implement gates on discrete quantum systems, and demonstrate its performances through numerical simulations on systems inspired from single molecule magnets. Our method efficiently decomposes quantum gates into electromagnetic pulses, and determines control pulses which are faster than GRAPE, all the more as the system's dimension increases.
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