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Complete controllability of quantum systems
Open accessAbstract
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.
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Citations
Cited by
Quantum control theory and applications: a survey
Dong, D., & Petersen, I. R. (2010) · IET Control Theory & Applications · doi:10.1049/iet-cta.2009.0508 · Cited by 601
Magann, A. B., Arenz, C., Grace, M. D., Ho, T.-S., Kosut, R. L., McClean, J. R., Rabitz, H. A., & Sarovar, M. (2021) · PRX Quantum · doi:10.1103/prxquantum.2.010101 · Cited by 116
Controllability of open quantum systems with Kraus-map dynamics
Wu, R., Pechen, A., Brif, C., & Rabitz, H. (2007) · Journal of Physics A: Mathematical and Theoretical · doi:10.1088/1751-8113/40/21/015 · Cited by 100
Control of open quantum systems: case study of the central spin model
Arenz, C., Gualdi, G., & Burgarth, D. (2014) · New Journal of Physics · doi:10.1088/1367-2630/16/6/065023 · Cited by 39
Optimal Control of Families of Quantum Gates
Sauvage, F., & Mintert, F. (2022) · Physical Review Letters · doi:10.1103/physrevlett.129.050507 · Cited by 31
Metadata
- Authors
- Schirmer, S. G., Fu, H., & Solomon, A. I.
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2001-05-15
- Volume
- 63
- Issue
- 6
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W1976675862
- Cited by
- 248
- References
- 0
- FWCI
- 11.64
- Type
- journal article
- Language
- en
- Open access
- green
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