Journal
PHYSICS LETTERS A
Volume 378, Issue 16-17, Pages 1074-1080Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physleta.2014.02.027
Keywords
Lyapunov quantum control; Two-level system
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Funding
- National Nature Science Foundation of China (NSFC) [10905007, 61078011]
- Fundamental Research Funds for the Central Universities [DUT12LK28]
- Australian Research Council [DP130101658, FL110100020]
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Taking a two-level system as an example, we show that a strong control field may enhance the efficiency of optimal Lyapunov quantum control but could decrease its control fidelity. A relationship between the strength of the control field and the control fidelity is established. An extended technique, which combines free evolution and external control, is proposed to improve the control fidelity. We analytically demonstrate that the extended technique can be used to design a control law for steering a two-level system exactly to one predetermined eigenstate of the free Hamiltonian. In such a way, the convergence of the extended optimal Lyapunov quantum control can be guaranteed. (C) 2014 Elsevier B.V. All rights reserved.
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