反馈控制增强的量子多参数估计研究 (特邀)

doi:10.3969/j.issn.1007-5461.2025.04.003

量子电子学报 ›› 2025, Vol. 42 ›› Issue (4): 464-475.doi: 10.3969/j.issn.1007-5461.2025.04.003

• “量子精密测量与应用” 专辑 • 上一篇下一篇

反馈控制增强的量子多参数估计研究 (特邀)

杨玉 1,2,3, 张沛 1,2,3, 李福利 1,2,3*

1 西安交通大学凝聚态物质非平衡合成与调控教育部重点实验室, 陕西西安 710049; 2 西安交通大学陕西省量子信息与量子光电器件重点实验室, 陕西西安 710049; 3 西安交通大学物理学院, 陕西西安 710049

收稿日期:2025-01-21 修回日期:2025-02-28 出版日期:2025-07-28 发布日期:2025-07-28
通讯作者: flli@mail.xjtu.edu.cn E-mail: flli@mail.xjtu.edu.cn
作者简介:杨玉 ( 1991 - ), 女, 陕西渭南人, 博士, 副教授, 硕士生导师, 主要从事量子精密测量方面的研究。E-mail: yu.yang@xjtu.edu.cn
基金资助:
国家自然科学基金青年项目和面上项目 (12204371, 12174301), 陕西数理基础科学研究青年项目和重点项目 (23JSQ012, 22JSZ004)

Quantum multiparameter estimation enhanced by feedback control

YANG Yu1,2,3 , ZHANG Pei 1,2,3 , LI Fuli 1,2,3*

1 Ministry of Education Key Laboratory for Nonequilibrium Synthesis and Modulation of Condensed Matter, Xi'an Jiaotong University, Xi'an 710049, China; 2 Shaanxi Province Key Laboratory of Quantum Information and Quantum Optoelectronic Devices, Xi'an Jiaotong University, Xi'an 710049, China; 3 School of Physics, Xi'an Jiaotong University, Xi'an 710049, China

Received:2025-01-21 Revised:2025-02-28 Published:2025-07-28 Online:2025-07-28

摘要/Abstract

摘要： 以量子参数估计为理论基础的量子精密测量技术, 凭借其超越标准量子极限的探测优势, 获得了广泛关注。很多应用场景往往涉及到对多个物理量的同时精确探测, 但由于多个待估计参数的生成元通常不对易, 这会使多个参数的估计精度相互制衡, 最终导致多参数同时最优估计的目标难以实现。不同于制备大尺度纠缠态、压缩态或设计复杂量子测量方案等经典方法, 近年来, 研究者们从优化量子动力学的角度入手, 通过在每组分动力学系统中添加量子控制的方式来调控量子态的演化。该类方法可以实现同时最优估计多个参数, 可以克服多参数精度相互制衡的问题。本文对基于反馈控制的该类量子多参数估计方法进行了总结, 从多个角度阐述了反馈控制对多参数同时最优估计的提升作用, 展现了该技术在实际应用中的潜力, 最后总结并展望了量子多参数估计的未来研究趋势。

关键词: 量子信息, 量子精密测量, 多参数估计理论, 量子控制, 量子克拉美罗界

Abstract: The quantum precision measurement technology based on the theory of quantum parameter estimation has attracted extensive attention due to its detection advantages beyond the standard quantum limit. In many application scenarios, it often involves the simultaneous and precise detection of multiple parameters. However, since the generators of multiple parameters to be estimated are generally noncommutative, this leads to a trade-off in the estimation precision among different parameters, making it challenging to achieve simultaneous optimal estimation for all parameters. In recent years, instead of preparing large-scale entangled states, squeezed states or designing complex quantum measurement schemes, researchers have started from the perspective of optimizing the evolution of quantum dynamics by introducing quantum control to each component of quantum dynamics systems to adjust the evolution of quantum states. This kind of method can achieve simultaneous optimal estimation of multiple parameters, so the trade-off between multiple estimation precisions can be overcome, and a better quantum Cramér-Rao bound can be reached. In this paper, we summarize the quantum multiparameter estimation methods based on feedback control, expound on the improvement effect of feedback control on the simultaneous optimal estimation of multiple parameters from multiple perspectives, and demonstrate the potential of this technology in practical applications. Finally, the future research trends of quantum multiparameter estimation are summarized and prospected.

Key words: quantum information, quantum precision measurement, multiparameter estimation theory, quantum control, quantum Cramér-Rao bound

中图分类号:

O434

杨玉, 张沛, 李福利, . 反馈控制增强的量子多参数估计研究 (特邀)[J]. 量子电子学报, 2025, 42(4): 464-475.

YANG Yu, , ZHANG Pei , , LI Fuli , . Quantum multiparameter estimation enhanced by feedback control[J]. Chinese Journal of Quantum Electronics, 2025, 42(4): 464-475.

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反馈控制增强的量子多参数估计研究 (特邀)

Quantum multiparameter estimation enhanced by feedback control

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