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Controllability of quantum mechanical systems by root space decomposition of su(N)
Open accessAbstract
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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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
Metadata
- Authors
- Altafini, C.
- Venue
- Journal of Mathematical Physics
- Publisher
- AIP Publishing
- Published
- 2002-05-01
- Volume
- 43
- Issue
- 5
- Pages
- 2051-2062
- ISSN
- 0022-2488 (ISSN-L)
- 1089-7658
- OpenAlex
- W2035019077
- Cited by
- 165
- References
- 0
- FWCI
- 3.81
- Type
- journal article
- Language
- en
- Open access
- green
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- Altafini, C. (2002). Controllability of quantum mechanical systems by root space decomposition of su(N). Journal of Mathematical Physics. https://doi.org/10.1063/1.1467611
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