[{"department":[{"_id":"94"}],"type":"conference","date_created":"2026-06-01T09:38:06Z","abstract":[{"lang":"eng","text":"This paper presents a class of structure-preserving numerical methods for quantum optimal control problems, based on commutator-free Cayley integrators. Starting from the Krotov framework, we reformulate the forward and backward propagation steps using Cayley-type schemes that preserve unitarity and symmetry at the discrete level. This approach eliminates the need for matrix exponentials and commutators, leading to significant computational savings while maintaining higher-order accuracy. We first recall the standard linear setting and then extend the formulation to nonlinear Schrödinger and Gross-Pitaevskii equations using a Cayley-polynomial interpolation strategy. Numerical experiments on state-transfer problems illustrate that the CF-Cayley method achieves the same accuracy as high-order exponential or Cayley-Magnus schemes at substantially lower cost, especially for longtime or highly oscillatory dynamics. In the nonlinear regime, the structure-preserving properties of the method ensure stability and norm conservation, making it a robust tool for large-scale quantum control simulations. The proposed framework thus bridges geometric integration and optimal control, offering an efficient and reliable alternative to existing exponential-based propagators."}],"citation":{"bibtex":"@inproceedings{Wembe Moafo_Ali_Meier_Ober-Blöbaum_2026, title={Cayley Commutator-free Methods for Krotov-Type Algorithms in Quantum Optimal Control}, DOI={<a href=\"https://doi.org/10.48550/ARXIV.2603.11697\">10.48550/ARXIV.2603.11697</a>}, author={Wembe Moafo, Boris Edgar and Ali, Usman and Meier, Torsten and Ober-Blöbaum, Sina}, year={2026} }","ama":"Wembe Moafo BE, Ali U, Meier T, Ober-Blöbaum S. Cayley Commutator-free Methods for Krotov-Type Algorithms in Quantum Optimal Control. In: ; 2026. doi:<a href=\"https://doi.org/10.48550/ARXIV.2603.11697\">10.48550/ARXIV.2603.11697</a>","mla":"Wembe Moafo, Boris Edgar, et al. <i>Cayley Commutator-Free Methods for Krotov-Type Algorithms in Quantum Optimal Control</i>. 2026, doi:<a href=\"https://doi.org/10.48550/ARXIV.2603.11697\">10.48550/ARXIV.2603.11697</a>.","chicago":"Wembe Moafo, Boris Edgar, Usman Ali, Torsten Meier, and Sina Ober-Blöbaum. “Cayley Commutator-Free Methods for Krotov-Type Algorithms in Quantum Optimal Control,” 2026. <a href=\"https://doi.org/10.48550/ARXIV.2603.11697\">https://doi.org/10.48550/ARXIV.2603.11697</a>.","short":"B.E. Wembe Moafo, U. Ali, T. Meier, S. Ober-Blöbaum, in: 2026.","ieee":"B. E. Wembe Moafo, U. Ali, T. Meier, and S. Ober-Blöbaum, “Cayley Commutator-free Methods for Krotov-Type Algorithms in Quantum Optimal Control,” presented at the European Control Conference, Reykjavík, Iceland, 2026, doi: <a href=\"https://doi.org/10.48550/ARXIV.2603.11697\">10.48550/ARXIV.2603.11697</a>.","apa":"Wembe Moafo, B. E., Ali, U., Meier, T., &#38; Ober-Blöbaum, S. (2026). <i>Cayley Commutator-free Methods for Krotov-Type Algorithms in Quantum Optimal Control</i>. European Control Conference, Reykjavík, Iceland. <a href=\"https://doi.org/10.48550/ARXIV.2603.11697\">https://doi.org/10.48550/ARXIV.2603.11697</a>"},"user_id":"95394","doi":"10.48550/ARXIV.2603.11697","_id":"65746","language":[{"iso":"eng"}],"date_updated":"2026-06-01T09:40:38Z","author":[{"orcid":"0000-0002-6085-8071","first_name":"Boris Edgar","last_name":"Wembe Moafo","full_name":"Wembe Moafo, Boris Edgar","id":"95394"},{"last_name":"Ali","first_name":"Usman","full_name":"Ali, Usman"},{"id":"344","first_name":"Torsten","last_name":"Meier","orcid":"0000-0001-8864-2072","full_name":"Meier, Torsten"},{"id":"16494","full_name":"Ober-Blöbaum, Sina","first_name":"Sina","last_name":"Ober-Blöbaum"}],"conference":{"start_date":"2026-07-07","name":"European Control Conference","location":"Reykjavík, Iceland","end_date":"2026-07-10"},"year":"2026","title":"Cayley Commutator-free Methods for Krotov-Type Algorithms in Quantum Optimal Control","status":"public"}]