Article Dans Une Revue SIAM Journal on Control and Optimization Année : 2025

Switching Controls for Conservative Bilinear Quantum Systems with Discrete Spectrum

Résumé

We analyze attainable sets of single-input bilinear conservative systems with piecewise constant controls. Under the assumption that the ambient space admits a Hilbert basis made of eigenvectors of the drift operator, we show that the closure of the attainable set does not depend on the set of admissible controls, provided the controls can take at least two or three values.

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Dates et versions

hal-05408920 , version 1 (10-12-2025)

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Nabile Boussaïd, Marco Caponigro, Thomas Chambrion. Switching Controls for Conservative Bilinear Quantum Systems with Discrete Spectrum. SIAM Journal on Control and Optimization, 2025, 63 (1), pp.S1-S19. ⟨10.1137/23M1588494⟩. ⟨hal-05408920⟩
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