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

Physics – Quantum Physics

Scientific paper

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11 pages, revtex4

Scientific paper

10.1063/1.1467611

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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