Global Approximate Controllability of Quantum Systems by Form Perturbations and Applications
Balmaseda A, Lonigro D, Pérez-Pardo JM (2025)
Publication Type: Journal article
Publication year: 2025
Journal
Book Volume: 63
Pages Range: 1022-1050
Issue: 2
DOI: 10.1137/24M1637519
Abstract
We provide sufficient conditions for the approximate controllability of infinite-dimensional quantum control systems corresponding to form perturbations of the drift Hamiltonian modulated by a control function. We rely on previous results on controllability of quantum bilinear control systems and obtain a priori L1-bounds of the controls for generic initial and target states. We apply a stability result for the nonautonomous Schrödinger equation to extend the results to systems defined by form perturbations, including singular perturbations. As an application of our results, we prove approximate controllability of a quantum particle in a one-dimensional box with a point-interaction with tuneable strength at the center of the box.
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APA:
Balmaseda, A., Lonigro, D., & Pérez-Pardo, J.M. (2025). Global Approximate Controllability of Quantum Systems by Form Perturbations and Applications. SIAM Journal on Control and Optimization, 63, 1022-1050. https://doi.org/10.1137/24M1637519
MLA:
Balmaseda, Aitor, Davide Lonigro, and Juan Manuel Pérez-Pardo. "Global Approximate Controllability of Quantum Systems by Form Perturbations and Applications." SIAM Journal on Control and Optimization 63 (2025): 1022-1050.
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