Optimal and two-step adaptive quantum detector tomograph

doi:10.1016/j.automatica.2022.110296

CSpace

	Optimal and two-step adaptive quantum detector tomograph
	Xiao, Shuixin 1,2; Wang, Yuanlong 3,4; Dong, Daoyi 2; Zhang, Jun 1
	2022-07-01
发表期刊	AUTOMATICA
ISSN	0005-1098
卷号	141 页码:16
摘要	Quantum detector tomography is a fundamental technique for calibrating quantum devices and performing quantum engineering tasks. In this paper, we design optimal probe states for detector estimation based on the minimum upper bound of the mean squared error (UMSE) and the maximum robustness. We establish the minimum UMSE and the minimum condition number for quantum detectors and provide concrete examples that can achieve optimal detector tomography. In order to enhance the estimation precision, we also propose a two-step adaptive detector tomography algorithm to optimize the probe states adaptively based on a modified fidelity index. We present a sufficient condition on when the estimation error of our two-step strategy scales inversely proportional to the number of state copies. Moreover, the superposition of coherent states is used as probe states for quantum detector tomography and the estimation error is analyzed. Numerical results demonstrate the effectiveness of both the proposed optimal and adaptive quantum detector tomography methods. (c) 2022 Elsevier Ltd. All rights reserved.
关键词	Quantum detector tomography Quantum system identification Adaptive estimation Quantum systems
DOI	10.1016/j.automatica.2022.110296
收录类别	SCI
语种	英语
WOS研究方向	Automation & Control Systems ; Engineering
WOS类目	Automation & Control Systems ; Engineering, Electrical & Electronic
WOS记录号	WOS:000797650300025
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/61458
专题	中国科学院数学与系统科学研究院
通讯作者	Dong, Daoyi; Zhang, Jun
作者单位	1.Shanghai Jiao Tong Univ, Univ Michigan Shanghai Jiao Tong Univ Joint Inst, Shanghai 200240, Peoples R China 2.Univ New South Wales, Sch Engn & Informat Technol, Canberra, ACT 2600, Australia 3.Griffith Univ, Ctr Quantum Dynam, Ctr Quantum Computat & Commun Technol, Australian Res Council, Brisbane, Qld 4111, Australia 4.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Xiao, Shuixin,Wang, Yuanlong,Dong, Daoyi,et al. Optimal and two-step adaptive quantum detector tomograph[J]. AUTOMATICA,2022,141:16.
APA	Xiao, Shuixin,Wang, Yuanlong,Dong, Daoyi,&Zhang, Jun.(2022).Optimal and two-step adaptive quantum detector tomograph.AUTOMATICA,141,16.
MLA	Xiao, Shuixin,et al."Optimal and two-step adaptive quantum detector tomograph".AUTOMATICA 141(2022):16.