Complete controllability of quantum systems
By Sophie G. Schirmer, H. Fu, A. I. Solomon. 2000
224 citations recorded by the source corpus.
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. Controllability of these model systems is of special interest since they have many applications in physics, e.g., 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.
Subfields: Atomic and Molecular Physics, and Optics, Physical and Theoretical Chemistry
View Paper: https://www.semanticscholar.org/paper/f3b2ee683b4fc4480f98ed3815dbc310628332c3
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In Atomic and Molecular Physics, and Optics
- Ruihua Fan
- Thomas Schulte-Herbrüggen
- Ronnie Kosloff
- Bei Zeng
- Dominique Sugny
- Tommaso Calarco
- Christiane P. Koch
- Frank K. Wilhelm
In Physical and Theoretical Chemistry
Citations in the corpus
- Training Schrödinger’s cat: quantum optimal control (2015, background): “Different notions of controllability have been introduced for pure states, mixed states, and evolution operator dynamics [362].”
- Quantum control theory and applications: A survey (2009, unknown): “e state controllability is also called wavefunction controllability in some references (e.g., [27], [28], [43]). Operator controllability, in the unitary case, is also called complete controllability [22], [97]. Some algorithms have been developed for testing the controllability of specific quantum s”
- Measuring out-of-time-order correlators on a nuclear magnetic resonance quantum simulator (2016, background): “Actually, complete controllability of such a system has been demonstrated [26], which guarantees that arbitrary system evolution can be implemented on it.”