中国物理B ›› 2020, Vol. 29 ›› Issue (3): 30305-030305.doi: 10.1088/1674-1056/ab6c43

• SPECIAL TOPIC—Recent advances in thermoelectric materials and devices • 上一篇    下一篇

Applicability of coupling strength estimation for linear chains of restricted access

He Feng(冯赫), Tian-Min Yan(阎天民), Yuhai Jiang(江玉海)   

  1. 1 Shanghai Advanced Research Institute, Chinese Academy of Sciences, Shanghai 201210, China;
    2 University of Chinese Academy of Sciences, Beijing 100049, China;
    3 School of Physical Science and Technology, ShanghaiTech University, Shanghai 201210, China
  • 收稿日期:2019-09-11 修回日期:2019-12-25 出版日期:2020-03-05 发布日期:2020-03-05
  • 通讯作者: Tian-Min Yan, Yuhai Jiang E-mail:yantm@sari.ac.cn;jiangyh@sari.ac.cn
  • 基金资助:
    Project supported by Shanghai Sailing Program, China (Grant No. 16YF1412600) and the National Natural Science Foundation of China (Grant Nos. 11420101003, 11604347, 11827806, 11874368, and 91636105).

Applicability of coupling strength estimation for linear chains of restricted access

He Feng(冯赫)1,2, Tian-Min Yan(阎天民)1, Yuhai Jiang(江玉海)1,2,3   

  1. 1 Shanghai Advanced Research Institute, Chinese Academy of Sciences, Shanghai 201210, China;
    2 University of Chinese Academy of Sciences, Beijing 100049, China;
    3 School of Physical Science and Technology, ShanghaiTech University, Shanghai 201210, China
  • Received:2019-09-11 Revised:2019-12-25 Online:2020-03-05 Published:2020-03-05
  • Contact: Tian-Min Yan, Yuhai Jiang E-mail:yantm@sari.ac.cn;jiangyh@sari.ac.cn
  • Supported by:
    Project supported by Shanghai Sailing Program, China (Grant No. 16YF1412600) and the National Natural Science Foundation of China (Grant Nos. 11420101003, 11604347, 11827806, 11874368, and 91636105).

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摘要： The characterization of an unknown quantum system requires the Hamiltonian identification. The full access to the system, however, is usually restricted, hindering the direct retrieval of the relevant parameters, and a reliable indirect estimation is usually required. In this work, based on the reformulated form of the original algorithm of Burgarth et al. [Phys. Rev. A 79 020305 (2009)], the robustness of the estimation scheme against numerous sources of errors during the actual measurement is analyzed. The scheme is numerically studied for sites with a chain structure, exploring its applicability against observational errors including the limited signal-noise ratio and the finite spectral width. The spectral distribution of the end site is shown to determine the applicability of the method, and reducing the influence from truncated spectral components is critical to realize the robust reconstruction of the coupling strengths.

关键词: Hamiltonian estimation, spin chain, state transfer

Abstract: The characterization of an unknown quantum system requires the Hamiltonian identification. The full access to the system, however, is usually restricted, hindering the direct retrieval of the relevant parameters, and a reliable indirect estimation is usually required. In this work, based on the reformulated form of the original algorithm of Burgarth et al. [Phys. Rev. A 79 020305 (2009)], the robustness of the estimation scheme against numerous sources of errors during the actual measurement is analyzed. The scheme is numerically studied for sites with a chain structure, exploring its applicability against observational errors including the limited signal-noise ratio and the finite spectral width. The spectral distribution of the end site is shown to determine the applicability of the method, and reducing the influence from truncated spectral components is critical to realize the robust reconstruction of the coupling strengths.

Key words: Hamiltonian estimation, spin chain, state transfer

中图分类号:  (Quantum mechanics)

  • 03.65.-w
03.65.Wj (State reconstruction, quantum tomography) 03.67.Ac (Quantum algorithms, protocols, and simulations)