CSpace  > 系统科学研究所
A Quantum Hamiltonian Identification Algorithm: Computational Complexity and Error Analysis
Wang, Yuanlong1,2; Dong, Daoyi1; Qi, Bo3; Zhang, Jun4; Petersen, Ian R.5; Yonezawa, Hidehiro1,2
2018-05-01
Source PublicationIEEE TRANSACTIONS ON AUTOMATIC CONTROL
ISSN0018-9286
Volume63Issue:5Pages:1388-1403
AbstractQuantum 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.
KeywordComputational complexity Hamiltonian identification process tomography quantum system
DOI10.1109/TAC.2017.2747507
Language英语
Funding ProjectAustralian 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 Research AreaAutomation & Control Systems ; Engineering
WOS SubjectAutomation & Control Systems ; Engineering, Electrical & Electronic
WOS IDWOS:000430968300012
PublisherIEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
Citation statistics
Cited Times:10[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/30256
Collection系统科学研究所
Affiliation1.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
Recommended Citation
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.
Files in This Item:
There are no files associated with this item.
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Wang, Yuanlong]'s Articles
[Dong, Daoyi]'s Articles
[Qi, Bo]'s Articles
Baidu academic
Similar articles in Baidu academic
[Wang, Yuanlong]'s Articles
[Dong, Daoyi]'s Articles
[Qi, Bo]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Wang, Yuanlong]'s Articles
[Dong, Daoyi]'s Articles
[Qi, Bo]'s Articles
Terms of Use
No data!
Social Bookmark/Share
All comments (0)
No comment.
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.