Complete controllability of quantum systems

Details Complete controllability of quantum systems Complete controllability of quantum systems

2000-10-07

arxiv.org/abs/quant-ph/0010031v2

Phys. Rev. A 63 (2001) 063410

Physics

Quantum Physics

8 pages, expanded and revised version

Scientific paper

10.1103/PhysRevA.63.063410

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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