A Quantum Hamiltonian Identification Algorithm: Computational Complexity and Error Analysis

doi:10.1109/TAC.2017.2747507

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	A Quantum Hamiltonian Identification Algorithm: Computational Complexity and Error Analysis
	Wang, Yuanlong 1,2; Dong, Daoyi 1; Qi, Bo3 ; Zhang, Jun 4; Petersen, Ian R.5; Yonezawa, Hidehiro 1,2
	2018-05-01
发表期刊	IEEE TRANSACTIONS ON AUTOMATIC CONTROL
ISSN	0018-9286
卷号	63 期号:5 页码:1388-1403
摘要	Quantum Hamiltonian identification (QHI) is important for characterizing the dynamics of quantum systems, calibrating quantum devices, and achieving precise quantum control. In this paper, an effective two-step optimization (TSO) QHI algorithm is developed within the framework of quantum process tomography. In the identification method, different probe states are input into quantum systems and the output states are estimated using the quantum state tomography protocol via linear regression estimation. The time-independent system Hamiltonian is reconstructed based on the experimental data for the output states. The Hamiltonian identification method has computational complexity O(d(6)), where d is the dimension of the system Hamiltonian. An error upper bound O(d(3)/root N) is also established, where N is the resource number for the tomography of each output state, and several numerical examples demonstrate the effectiveness of the proposed TSO Hamiltonian identification method.
关键词	Computational complexity Hamiltonian identification process tomography quantum system
DOI	10.1109/TAC.2017.2747507
语种	英语
资助项目	Australian Research Council's Discovery Projects Funding Scheme[DP130101658] ; Laureate Fellowship[FL110100020] ; Air Force Office of Scientific Research[FA2386-16-1-4065] ; Centres of Excellence[CE110001027] ; National Natural Science Foundation of China[61374092] ; National Natural Science Foundation of China[61621003] ; National Natural Science Foundation of China[61227902] ; National Natural Science Foundation of China[61174086] ; National Natural Science Foundation of China[61533012]
WOS研究方向	Automation & Control Systems ; Engineering
WOS类目	Automation & Control Systems ; Engineering, Electrical & Electronic
WOS记录号	WOS:000430968300012
出版者	IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/30256
专题	系统科学研究所
通讯作者	Qi, Bo
作者单位	1.Univ New South Wales, Sch Engn & Informat Technol, Canberra, ACT 2600, Australia 2.Australian Res Council, Ctr Quantum Computat & Commun Technol, Canberra, ACT 2600, Australia 3.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China 4.Shanghai Jiao Tong Univ, Joint Inst UM SJTU, Shanghai 200240, Peoples R China 5.Australian Natl Univ, Res Sch Engn, Canberra, ACT 2601, Australia
推荐引用方式 GB/T 7714	Wang, Yuanlong,Dong, Daoyi,Qi, Bo,et al. A Quantum Hamiltonian Identification Algorithm: Computational Complexity and Error Analysis[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL,2018,63(5):1388-1403.
APA	Wang, Yuanlong,Dong, Daoyi,Qi, Bo,Zhang, Jun,Petersen, Ian R.,&Yonezawa, Hidehiro.(2018).A Quantum Hamiltonian Identification Algorithm: Computational Complexity and Error Analysis.IEEE TRANSACTIONS ON AUTOMATIC CONTROL,63(5),1388-1403.
MLA	Wang, Yuanlong,et al."A Quantum Hamiltonian Identification Algorithm: Computational Complexity and Error Analysis".IEEE TRANSACTIONS ON AUTOMATIC CONTROL 63.5(2018):1388-1403.