Incoherent control of locally controllable quantum systems

doi:10.1063/1.2992557

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	Incoherent control of locally controllable quantum systems
	Dong, Daoyi 1,2; Zhang, Chenbin 3; Rabitz, Herschel 4; Pechen, Alexander 4; Tarn, Tzyh-Jong 5
	2008-10-21
发表期刊	JOURNAL OF CHEMICAL PHYSICS
ISSN	0021-9606
卷号	129 期号:15 页码:10
摘要	An incoherent control scheme for state control of locally controllable quantum systems is proposed. This scheme includes three steps: (1) amplitude amplification of the initial state by a suitable unitary transformation, (2) projective measurement of the amplified state, and (3) final optimization by a unitary controlled transformation. The first step increases the amplitudes of some desired eigenstates and the corresponding probability of observing these eigenstates, the second step projects, with high probability, the amplified state into a desired eigenstate, and the last step steers this eigenstate into the target state. Within this scheme, two control algorithms are presented for two classes of quantum systems. As an example, the incoherent control scheme is applied to the control of a hydrogen atom by an external field. The results support the suggestion that projective measurements can serve as an effective control and local controllability information can be used to design control laws for quantum systems. Thus, this scheme establishes a subtle connection between control design and controllability analysis of quantum systems and provides an effective engineering approach in controlling quantum systems with partial controllability information. (C) 2008 American Institute of Physics. [DOI: 10.1063/1.2992557]
DOI	10.1063/1.2992557
语种	英语
资助项目	National Natural Science Foundation of China[60703083] ; National Creative Research Groups Science Foundation of China[60421002] ; China Postdoctoral Science Foundation[20060400515] ; DOE ; RFFI[08-01-00727-a]
WOS研究方向	Physics
WOS类目	Physics, Atomic, Molecular & Chemical
WOS记录号	WOS:000260280600003
出版者	AMER INST PHYSICS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/5338
专题	中国科学院数学与系统科学研究院
通讯作者	Dong, Daoyi
作者单位	1.Zhejiang Univ, Natl Lab Ind Control Technol, Inst Cyber Syst & Control, Hangzhou 310027, Zhejiang, Peoples R China 2.Chinese Acad Sci, AMSS, Inst Syst Sci, Beijing 100190, Peoples R China 3.Univ Sci & Technol China, Dept Automat, Hefei 230027, Peoples R China 4.Princeton Univ, Dept Chem, Princeton, NJ 08544 USA 5.Washington Univ, Dept Elect & Syst Engn, St Louis, MO 63130 USA
推荐引用方式 GB/T 7714	Dong, Daoyi,Zhang, Chenbin,Rabitz, Herschel,et al. Incoherent control of locally controllable quantum systems[J]. JOURNAL OF CHEMICAL PHYSICS,2008,129(15):10.
APA	Dong, Daoyi,Zhang, Chenbin,Rabitz, Herschel,Pechen, Alexander,&Tarn, Tzyh-Jong.(2008).Incoherent control of locally controllable quantum systems.JOURNAL OF CHEMICAL PHYSICS,129(15),10.
MLA	Dong, Daoyi,et al."Incoherent control of locally controllable quantum systems".JOURNAL OF CHEMICAL PHYSICS 129.15(2008):10.