Optimal and two-step adaptive quantum detector tomograph
文献类型：期刊论文
| 作者 | Xiao, Shuixin1,2; Wang, Yuanlong3,4; Dong, Daoyi2; Zhang, Jun1 |
| 刊名 | AUTOMATICA
 |
| 出版日期 | 2022-07-01 |
| 卷号 | 141页码:16 |
| 关键词 | Quantum detector tomography Quantum system identification Adaptive estimation Quantum systems |
| ISSN号 | 0005-1098 |
| DOI | 10.1016/j.automatica.2022.110296 |
| 英文摘要 | 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. |
| WOS研究方向 | Automation & Control Systems ; Engineering |
| 语种 | 英语 |
| WOS记录号 | WOS:000797650300025 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/61457]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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