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Controllability of quantum mechanical systems by root space decomposition of su(N)

Claudio Altafini
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Abstract

The controllability property of the unitary propagator of an N-level quantum mechanical system subject to a single control field is described using the structure theory of semisimple Lie algebras. Sufficient conditions are provided for the vector fields in a generic configuration as well as in a few degenerate cases.

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Claudio Altafini. 2001-10-25. Controllability of quantum mechanical systems by root space decomposition of su(N). https://doi.org/10.1063/1.1467611

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