Optimal control of spin systems

Quantum optimal control has become a central tool for designing high-performance pulse sequences in magnetic resonance and quantum technologies. Early developments in NMR relied on heuristic composite and shaped pulses or analytical approaches such as average Hamiltonian theory. The introduction of modern optimal control algorithms enabled the systematic optimization of thousands of control parameters, greatly expanding the achievable performance and scope of pulse engineering. This review summarizes key developments in optimal control of spin and pseudo-spin systems and highlights major applications in magnetic resonance, in quantum technologies, and in the control of atoms and molecules.

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Publication Details

Journal
Science Advances
Published
2026-09-16
DOI
https://doi.org/10.1126/sciadv.aeh1978
Primary Topic
Advanced NMR Techniques and Applications
Type
article
Field-Weighted Citation Impact
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article

Optimal control of spin systems

Niels Chr. Nielsen, Dominique Sugny, Steffen J. Glaser, Dieter Suter et al.
Science Advances
Advanced NMR Techniques and Applications
article

Optimal control of spin systems

Niels Chr. Nielsen, Dominique Sugny, Steffen J. Glaser, Dieter Suter, Christiane P. Koch
article en

Abstract

Quantum optimal control has become a central tool for designing high-performance pulse sequences in magnetic resonance and quantum technologies. Early developments in NMR relied on heuristic composite and shaped pulses or analytical approaches such as average Hamiltonian theory. The introduction of modern optimal control algorithms enabled the systematic optimization of thousands of control parameters, greatly expanding the achievable performance and scope of pulse engineering. This review summarizes key developments in optimal control of spin and pseudo-spin systems and highlights major applications in magnetic resonance, in quantum technologies, and in the control of atoms and molecules.

Science AdvancesVol. 12(38)
Centre National de la Recherche Scientifique (FR), TU Dortmund University (DE), Aarhus University (DK), Laboratoire Interdisciplinaire Carnot de Bourgogne (FR), Munich Center for Quantum Science and Technology (DE), Université Bourgogne Europe (FR), Technical University of Munich (DE), Freie Universität Berlin (DE)
Affordable and clean energy
Openalex Percentile: Top 21%
Advanced NMR Techniques and Applications
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Optimal control of spin systems — Niels Chr. Nielsen, Dominique Sugny, et al. · Science Advances (2026) | TGRS Research Map | TGRS