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Quantum gate identification: Error analysis, numerical results and optical experiment
Wang, Yuanlong1,2; Yin, Qi3,4; Dong, Daoyi1; Qi, Bo5,6; Petersen, Ian R.7; Hou, Zhibo3,4; Yonezawa, Hidehiro1,2; Xiang, Guo-Yong3,4
2019-03-01
Source PublicationAUTOMATICA
ISSN0005-1098
Volume101Pages:269-279
AbstractThe identification of an unknown quantum gate is a significant issue in quantum technology. In this paper, we propose a quantum gate identification method within the framework of quantum process tomography. In this method, a series of pure states are applied to the gate and then a fast state tomography on the output states is performed and the data are used to reconstruct the quantum gate. The algorithm has computational complexity O(d(3)) with the system dimension d. The identification approach is compared with the maximum likelihood estimation method for the running time, which shows an efficiency advantage of our method. An error upper bound is established for the identification algorithm and the robustness of the algorithm against impurities in the input states is also tested. We perform a quantum optical experiment on a single-qubit Hadamard gate to verify the effectiveness of the identification algorithm. (C) 2018 Elsevier Ltd. All rights reserved.
KeywordQuantum system Quantum tomography Quantum gate identification Computational complexity
DOI10.1016/j.automatica.2018.12.011
Language英语
Funding ProjectAustralian Research Council[DP190101566] ; Australian Research Council[FL110100020] ; AFOSR[FA2386-16-1-4065] ; Centres of Excellence[CE110001027] ; National Natural Science Foundation of China[61773370] ; National Natural Science Foundation of China[61828303] ; National Natural Science Foundation of China[61833010] ; National Natural Science Foundation of China[11574291] ; National Natural Science Foundation of China[11774334] ; National Natural Science Foundation of China[11688101]
WOS Research AreaAutomation & Control Systems ; Engineering
WOS SubjectAutomation & Control Systems ; Engineering, Electrical & Electronic
WOS IDWOS:000458941700031
PublisherPERGAMON-ELSEVIER SCIENCE LTD
Citation statistics
Cited Times:1[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/32697
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.Univ Sci & Technol China, CAS, Key Lab Quantum Informat, Hefei 230026, Anhui, Peoples R China
4.Univ Sci & Technol China, Synerget Innovat Ctr Quantum Informat & Quantum P, Hefei 230026, Anhui, Peoples R China
5.Acad Math & Syst Sci, CAS, Key Lab Syst & Control, Beijing 100190, Peoples R China
6.Univ Chinese Acad Sci, Beijing 100049, Peoples R China
7.Australian Natl Univ, Res Sch Engn, Canberra, ACT 0200, Australia
Recommended Citation
GB/T 7714
Wang, Yuanlong,Yin, Qi,Dong, Daoyi,et al. Quantum gate identification: Error analysis, numerical results and optical experiment[J]. AUTOMATICA,2019,101:269-279.
APA Wang, Yuanlong.,Yin, Qi.,Dong, Daoyi.,Qi, Bo.,Petersen, Ian R..,...&Xiang, Guo-Yong.(2019).Quantum gate identification: Error analysis, numerical results and optical experiment.AUTOMATICA,101,269-279.
MLA Wang, Yuanlong,et al."Quantum gate identification: Error analysis, numerical results and optical experiment".AUTOMATICA 101(2019):269-279.
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