Optimal Lyapunov quantum control of two-level systems: Convergence and extended techniques |
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| Affiliation: | 1. School of Physics and Optoelectronic Technology, Dalian University of Technology, Dalian 116024, China;2. School of Engineering and Information Technology, University of New South Wales at the Australian Defence Force Academy, Canberra, ACT 2600, Australia |
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| Abstract: | 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. |
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| Keywords: | Lyapunov quantum control Two-level system |
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