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19942026
most citedTraining Schrödinger's cat: quantum optimal control

779 citations

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Showing 2013 · math-phShow all

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math-ph2013★ 63 cited

Approximate controllability, exact controllability, and conical eigenvalue intersections for quantum mechanical systems

Ugo Boscain, Jean-Paul Gauthier, Francesco Rossi +1

We study the controllability of a closed control-affine quantum system driven by two or more external fields. We provide a sufficient condition for controllability in terms of exis…

math-ph2013

Two-dimensional von Neumann--Wigner potentials with a multiple positive eigenvalue

R. G. Novikov, I. A. Taimanov, S. P. Tsarev

By the Moutard transformation method we construct two-dimensional Schrodinger operators with real smooth potential decaying at infinity and with a multiple positive eigenvalue. The…