引用本文:陈春林.基于量子系综分类的量子系统哈密顿量辨识[J].控制理论与应用,2017,34(11):1460~1464.[点击复制]
CHEN Chun-lin.Hamiltonian identification for quantum systems via quantum ensemble classification[J].Control Theory and Technology,2017,34(11):1460~1464.[点击复制]
基于量子系综分类的量子系统哈密顿量辨识
Hamiltonian identification for quantum systems via quantum ensemble classification
摘要点击 1979  全文点击 1514  投稿时间:2017-10-17  修订日期:2017-12-15
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DOI编号  10.7641/CTA.2017.70747
  2017,34(11):1460-1464
中文关键词  量子系综分类  哈密顿量辨识  基于采样的学习控制  量子学习控制
英文关键词  quantum ensemble classification  Hamiltonian identification  sampling-based learning control  quantum learning control
基金项目  国家重点研发计划(2016YFD0702100), 国家自然科学基金项目(61273327)
作者单位E-mail
陈春林* 南京大学 clchen@nju.edu.cn 
中文摘要
      针对量子系统中的哈密顿量辨识问题, 提出了一种基于量子系综分类的量子系统参数辨识方法. 首先, 所 采用的量子系综分类方法结合了基于采样的学习控制方法和梯度流算法, 可利用所设计的控制场有效区分具有不 同哈密顿量参数的量子系统; 其次, 以交叉验证的方式对于所需估计的哈密顿量参数值进行区间判定, 提高估计可 靠性; 再次, 采用逐次细化判定区间的方法, 辨识出最终的哈密顿量参数; 最后, 通过数值仿真验证了所提出的量子 系统哈密顿量辨识方法的有效性和实用性.
英文摘要
      In this paper, a hamiltonian identification approach is proposed for quantum systems using quantum ensemble classification. First, the quantum ensemble classification method is introduced by combining sampling-based learning control and gradient flow algorithms, which helps discriminate different quantum systems whose hamiltonian parameters falling in different intervals, respectively. Second, the intervals for the parameters to be identified are estimated via cross verification to achieve a reliable result. Third, the hamiltonian parameters are identified by successively refining the estimated intervals. Finally, the effectiveness and practicability of the proposed hamiltonian identification approach is verified using numerical simulation.