Robustness of continuous non-smooth finite-time Lyapunov control for two-level quantum systems
- Author(s): Sen Kuang 1, 2 and Xiaoke Guan 1
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View affiliations
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Affiliations:
1:
Department of Automation , University of Science and Technology of China , Hefei 230027 , People's Republic of China ;
2: CAS Key Laboratory of Technology in Geo-spatial Information Processing and Application System , University of Science and Technology of China , Hefei 230027 , People's Republic of China
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Affiliations:
1:
Department of Automation , University of Science and Technology of China , Hefei 230027 , People's Republic of China ;
- Source:
Volume 14, Issue 16,
05
November
2020,
p.
2449 – 2454
DOI: 10.1049/iet-cta.2019.1156 , Print ISSN 1751-8644, Online ISSN 1751-8652
The robustness of continuous non-smooth Lyapunov control for two-level quantum systems with uncertainties in the Hamiltonians is analysed in this study. The authors first transform a perturbed two-level system into a real-variable system by expressing the quantum state in terms of its complex exponential and then present two theorems to describe the behaviour of solutions of the perturbed system after a certain finite time by combining the Lyapunov and converse Lyapunov finite-time stability theorems with the homogeneity theory. Numerical simulation experiments on a spin- particle system show the effectiveness of the results obtained in this study.
Inspec keywords: perturbation techniques; continuous systems; Lyapunov methods; stability
Other keywords: two-level quantum systems; continuous nonsmooth finite-time Lyapunov control; homogeneity theory; perturbed system; real-variable system; Lyapunov finite-time stability theorems
Subjects: Stability in control theory
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