Controllability of quantum mechanical systems by root space decomposition of su(N)
classification
🪐 quant-ph
keywords
controllabilitymechanicalquantumalgebrascasesconditionsconfigurationcontrol
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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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