华东师范大学学报（自然科学版） ›› 2024, Vol. 2024 ›› Issue (3): 128-135.doi: 10.3969/j.issn.1000-5641.2024.03.014

• 量子物理与量子信息处理 • 上一篇    下一篇

基于Jaynes-Cummings模型的量子参数估计与初态优化

乔莉文, 彭家鑫, 朱百强, 张可烨*()   

  1. 华东师范大学 物理与电子科学学院, 上海　200241
  • 收稿日期:2023-04-21 出版日期:2024-05-25 发布日期:2024-05-25
  • 通讯作者: 张可烨 E-mail:kyzhang@phy.ecnu.edu.cn
  • 基金资助:
    国家自然科学基金 (11974116) ; 中央高校基本科研业务费

Quantum parameter estimation and initial state optimization based on the Jaynes-Cummings model

Liwen QIAO, Jiaxin PENG, Baiqiang ZHU, Keye ZHANG*()   

  1. School of Physics and Electronic Science, East China Normal University, Shanghai　200241, China
  • Received:2023-04-21 Online:2024-05-25 Published:2024-05-25
  • Contact: Keye ZHANG E-mail:kyzhang@phy.ecnu.edu.cn

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摘要：

参数估计理论是根据实验测量数据推断物理模型中未知参数的重要理论工具. Jaynes-Cumming模型是量子光学中广泛使用的模型, 描述了二能级原子和单模量子光场之间的相互作用. 利用参数估计理论系统地研究了该模型中光–原子耦合强度$ g $的估计精度, 并找到了可达到最高估计精度的初态. 该结果可以提高基于Jaynes-Cumming模型的量子精密测量的精度, 该研究方法也可用于其他基于混合量子系统的量子度量学研究.

关键词: 量子Fisher信息, Jaynes-Cummings模型, 参数估计理论

Abstract:

Quantum parameter estimation is a powerful theoretical tool for inferring unknown parameters in physical models from experimental data. The Jaynes-Cummings model is widely used in quantum optics, and describes the interaction between a two-level atom and a single-mode quantum optical field. Systematic research was performed on the estimation precision of atom-light coupling strength “g” in this model and the initial state was identified by which the estimation can achieve the best precision. Our results can improve the precision of quantum measurement with the Jaynes-Cummings model, and can be used for quantum metrology with other hybrid quantum systems.

Key words: quantum Fisher information, Jaynes–Cummings model, parameter estimation theory

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