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math.OC2026
Enhancing the controllability of quantum systems via a static field
Ruikang Liang, Eugenio Pozzoli, Monika Leibscher +3
We provide a sufficient condition for the controllability of a bilinear closed quantum system steered by a static field and a time-varying field, based on the notion of weakly coni…
math.OC2025
Schr{ö}dinger eigenfunctions sharing the same modulus and applications to the control of quantum systems
Ugo Boscain, Kévin Le Balc'H, Mario Sigalotti
In this paper we investigate when linearly independent eigenfunctions of the Schr\''odinger operator may have the same modulus. General properties are established and the one-dimen…
math.OC2025
Ensemble control of n-level quantum systems with a scalar control
Ruikang Liang, Ugo Boscain, Mario Sigalotti
In this paper we discuss how a general bilinear finite-dimensional closed quantum system with dispersed parameters can be steered between eigenstates. We show that, under suitable…