2.624

2020影响因子

(CJCR)

• 中文核心
• EI
• 中国科技核心
• Scopus
• CSCD
• 英国科学文摘

## 留言板

n比特随机量子系统实时状态估计及其反馈控制

 引用本文: 张骄阳, 丛爽, 匡森. n比特随机量子系统实时状态估计及其反馈控制. 自动化学报, 2022, 48(x): 1−12
Zhang Jiao-Yang, Cong Shuang, Kuang Sen. Real-time state estimation and feedback control for n-qubit stochastic quantum systems. Acta Automatica Sinica, 2022, 48(x): 1−12 doi: 10.16383/j.aas.c210916
 Citation: Zhang Jiao-Yang, Cong Shuang, Kuang Sen. Real-time state estimation and feedback control for n-qubit stochastic quantum systems. Acta Automatica Sinica, 2022, 48(x): 1−12

## Real-time State Estimation and Feedback Control for n-qubit Stochastic Quantum Systems

Funds: Supported by National Natural Science Foundation of China (61973290)
###### Author Bio: ZHANG Jiao-Yang　Master student in the Department of Automation, University of Science and Technology of China. He received his bachelor degree in automation from Ocean University of China in 2020. His research interest covers Lyapunov-based quantum control and quantum noise suppression CONG Shuang　Professor in the Department of Automation, University of Science and Technology of China. She received her Ph. D. degree in system engineering from the University of Rome “La Sapienza”, Rome, Italy, in 1995. Her research interest covers advanced control strategies for motion control, fuzzy logic control, neural networks design and applications, robotic coordination control, and quantum systems control. Corresponding author of this paper KUANG Sen　Associate professor in the Department of Automation, University of Science and Technology of China. He received his Ph. D. degree in control theory and control engineering from University of Science and Technology of China in 2007. His research interest covers quantum information and control, quantum artificial intelligence, and intelligent control and its applications
• 图  1  不同外部控制场的作用下的实时状态估计性能

Fig.  1  Real-time state estimation performance under various external control fields

图  2  不同初始测量算符作用下的实时状态估计性能

Fig.  2  Real-time state estimation performance under various initial measurement operators

图  3  不同的相互作用强度作用下的实时状态估计性能

Fig.  3  Real-time state estimation performance under various interaction strengths

图  4  第30次采样时2比特量子系统估计状态与真实状态比较 ($H' = {H_0} + {\;}1\cdot{\sigma _x}$, ${M_1} = {\sigma _z} \otimes {\sigma _z}$, $L' = {\;}0.7{\sigma _z}$)

Fig.  4  Comparison between the estimated state and the real state of a 2-qubit system at the 30th sampling time ($H' = {H_0} + {\;}1\cdot{\sigma _x}$, ${M_1} = {\sigma _z} \otimes {\sigma _z}$, $L' = {\;}0.7{\sigma _z}$)

图  5  基于实时状态估计的n比特随机量子系统反馈控制方案的框图

Fig.  5  Real-time state estimation-based feedback control scheme for n-qubit stochastic quantum systems

图  6  实时量子状态估计性能及本征态反馈控制的实验结果

Fig.  6  Experimental results of real-time quantum state estimation performance and eigenstate feedback control

图  7  实时量子状态估计性能及叠加态反馈控制的实验结果

Fig.  7  Experimental results of real-time quantum state estimation performance and superposition state feedback control

•  [1] Huang G M, Tarn T J, Clark J W. On the controllability of quantum-mechanical systems. Journal of Mathematical Physics, 1983, 24(11): 2608-2618 doi: 10.1063/1.525634 [2] Tesch C M, Kurtz L, Vivie-Riedle R D. Applying optimal control theory for elements of quantum computation in molecular systems. Chemical Physics Letters, 2001, 343(5-6): 633-641 [3] Nigmatullin R, Schirmer S G. Implementation of fault-tolerant quantum logic gates via optimal control. New Journal of Physics, 2009, 11(10): Article No. 105032 [4] Nourallah G, Cong S. Preparation of Hadamard gate for open quantum systems by the Lyapunov control method. IEEE/CAA Journal of Automatica Sinica, 2018, 5(3): 733-740 [5] Viola L, Lloyd S. Dynamical suppression of decoherence in two-state quantum systems. Physical Review A, 1998, 58(4): 2733-2744 [6] Zhang M, Ou B Q, Dai H Y, Hu D W. Control decoherence by quantum generalized measurement. Acta Automatica Sinica, 2008, 34(4): 433-437 [7] Dong D, Petersen I R. Quantum control theory and applications: A survey. IET Control Theory & Applications, 2009, 4(12): 2651-2671 [8] 丛爽. 量子分子动力学中的操纵技术及其系统控制理论. 控制理论与应用, 2010, 27(1): 1-12Cong Shuang. Manipulation technology and system control theory in quantum molecular dynamics. Control Theory & Applications, 2010, 27(1): 1-12 [9] Cong S. Control of Quantum Systems: Theory and Methods. Singapore: Wiley, 2014. [10] Dong W, Wu R, Yuan X, Li C, Tarn T J. The modelling of quantum control systems. Science Bulletin, 2015, 60(17): 1493-1508 [11] Zhang J, Liu Y X, Wu R B, Jacobs K, Nori F. Quantum feedback: Theory, experiments, and applications. Physics Reports, 2017, 679: 1-60 [12] D'Alessandro D. Introduction to Quantum Control and Dynamics. New York: Chapman & Hall/CRC, 2020. [13] Silberfarb A, Jessen P S, Deutsch I H. Quantum state reconstruction via continuous measurement. Physical Review Letters, 2005, 95(3): Article No. 030402 [14] Smith G A, Silberfarb A, Deutsch I H, Jessen P S. Efficient quantum-state estimation by continuous weak measurement and dynamical control. Physical Review Letters, 2006, 97(18): Article No. 180403 [15] Ralph J F, Jacobs K, Hill C D. Frequency tracking and parameter estimation for robust quantum state-estimation. Physical Review A, 2011, 84(5): 1398-1405 [16] 唐雅茹, 丛爽, 杨靖北. 单量子比特系统状态的在线估计. 自动化学报, 2020, 46(8): 1592-1599Tang Ya-Ru, Cong Shuang, Yang Jing-Bei. On-line state estimation of one-qubit system. Acta Automatica Sinica, 2020, 46(8): 1592-1599 [17] Harraz S, Cong S, Li K. Online quantum state tomography of N-qubit via continuous weak measurement and compressed sensing. International Journal of Quantum Information, 2020: Article No. 2040006 [18] Zhang K, Cong S, Li K, Wang T. An online optimization algorithm for the real-time quantum state tomography. Quantum Information Processing, 2020, 19(10): Article No. 361 [19] Zhang K, Cong S, Tang Y, Freris N M. An efficient online estimation algorithm for evolving quantum states. In: Proceedings of the 2020 European Signal Processing Conference (EUSIPCO). Amsterdam, Netherlands: IEEE, 2020. 2249-2253 [20] Kuang S, Cong S. Lyapunov control methods of closed quantum systems. Automatica, 2008, 44(1): 98-108 [21] Sayrin C, Dotsenko I, Zhou X, Peaudecerf B, Rybarczyk T, Gleyzes S, et al. Real-time quantum feedback prepares and stabilizes photon number states. Nature, 2011, 477(7362): 73-77 [22] Qi B, Guo L. Is measurement-based feedback still better for quantum control systems? Systems & Control Letters, 2010, 59(6): 333-339 [23] Qi B, Pan H, Guo L. Further results on stabilizing control of quantum systems. IEEE Transactions on Automatic Control, 2013, 58(5): 1349-1354 [24] Qamar S, Cong S. Observer-based feedback control of two-level open stochastic quantum system. Journal of the Franklin Institute, 2019, 356(11): 5675-5691 [25] Harraz S, Cong S. State transfer via on-line state estimation and Lyapunov-based feedback control for a N-qubit system. Entropy, 2019, 21(8): Article No. 751 [26] 丛爽, 胡龙珍, 杨霏, 刘建秀. Non-Markovian开放量子系统的特性分析与状态转移. 自动化学报, 2013, 39(4): 360-370Cong Shuang, Hu Long-Zhen, Yang Fei, Liu Jian-Xiu. Characteristics analysis and state transfer for Non-Markovian open quantum systems. Acta Automatica Sinica, 2013, 39(4): 360-370 [27] Bosse J, Rabaste O. Subspace rejection for matching pursuit in the presence of unresolved targets. IEEE Transactions on Signal Processing, 2018, 66(8): 1997-2010 [28] 张贤达. 矩阵分析与应用. 北京: 清华大学出版社, 2013.Zhang Xian-Da. Matrix Analysis and Applications. Beijing: Tsinghua University Press, 2013. [29] Ge S S, Vu T L, Hang C C. Non-smooth Lyapunov function-based global stabilization for quantum filters. Automatica, 2012, 48(6): 1031-1044

##### 计量
• 文章访问数:  130
• HTML全文浏览量:  21
• 被引次数: 0
##### 出版历程
• 收稿日期:  2021-09-26
• 录用日期:  2022-06-06
• 网络出版日期:  2022-07-18

/

• 分享
• 用微信扫码二维码

分享至好友和朋友圈