Optimal Lyapunov quantum control of two-level systems: Convergence and extended techniques

被引：25

作者：

Wang, L. C. ^{[1
]}

Hou, S. C. ^{[1
]}

Yi, X. X. ^{[1
]}

Dong, Daoyi ^{[2
]}

Petersen, Ian R. ^{[2
]}

机构：

[1] Dalian Univ Technol, Sch Phys & Optoelect Technol, Dalian 116024, Peoples R China

[2] Univ New S Wales, Australian Def Force Acad, Sch Engn & Informat Technol, Canberra, ACT 2600, Australia

来源：

PHYSICS LETTERS A | 2014年 / 378卷 / 16-17期

基金：

澳大利亚研究理事会;

关键词：

Lyapunov quantum control; Two-level system; SCHRODINGER-EQUATIONS;

D O I：

10.1016/j.physleta.2014.02.027

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页码：1074 / 1080

页数：7

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