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Complete controllability of quantum systems

S. G. Schirmer·H. Fu·A. I. Solomon
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Abstract

Sufficient conditions for complete controllability of $N$-level quantum systems subject to a single control pulse that addresses multiple allowed transitions concurrently are established. The results are applied in particular to Morse and harmonic-oscillator systems, as well as some systems with degenerate energy levels. Morse and harmonic oscillators serve as models for molecular bonds, and the standard control approach of using a sequence of frequency-selective pulses to address a single transition at a time is either not applicable or only of limited utility for such systems.

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S. G. Schirmer, H. Fu, A. I. Solomon. 2001-05-24. Complete controllability of quantum systems. https://doi.org/10.1103/physreva.63.063410

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