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Chin. Phys. B, 2020, Vol. 29(3): 030305    DOI: 10.1088/1674-1056/ab6c43
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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 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
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.
Keywords:  Hamiltonian estimation      spin chain      state transfer  
Received:  11 September 2019      Revised:  25 December 2019      Published:  05 March 2020
PACS:  03.65.-w (Quantum mechanics)  
  03.65.Wj (State reconstruction, quantum tomography)  
  03.67.Ac (Quantum algorithms, protocols, and simulations)  
Fund: 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).
Corresponding Authors:  Tian-Min Yan, Yuhai Jiang     E-mail:  yantm@sari.ac.cn;jiangyh@sari.ac.cn

Cite this article: 

He Feng(冯赫), Tian-Min Yan(阎天民), Yuhai Jiang(江玉海) Applicability of coupling strength estimation for linear chains of restricted access 2020 Chin. Phys. B 29 030305

[1] Ladd T D, Jelezko F, Laflamme R, Nakamura Y, Monroe C and O'Brien J L 2010 Nature 464 45
[2] Bassett L C and Awschalom D D 2012 Nature 489 505
[3] Bose S 2003 Phys. Rev. Lett. 91 207901
[4] Giovannetti V, Lloyd S and Lorenzo Maccone 2006 Phys. Rev. Lett. 96 010401
[5] Giovannetti V, Lloyd S and Lorenzo Maccone 2011 Nat. Photon. 5 222
[6] Xiang G Y and Guo G C 2013 Chin. Phys. B 22 110601
[7] Zhang L J and Xiao M 2013 Chin. Phys. B 22 110310
[8] Cole J H 2015 New J. Phys. 17 101001
[9] Wang S T, Deng D L and Duan L M 2015 New J. Phys. 17 93017
[10] Kiukas J, Yuasa K and Burgarth D 2017 Phys. Rev. A 95 052132
[11] Liu J and Yuan H D 2017 Phys. Rev. A 96 012117
[12] Zhang J and Sarovar M 2014 Phys. Rev. Lett. 113 080401
[13] Zhang J and Sarovar M 2015 Phys. Rev. A 91 052121
[14] Hou S Y, Li H and Long G L 2017 Sci. Bull. 62 863
[15] Burgarth D and Ajoy A 2017 Phys. Rev. Lett. 119 030402
[16] Burgarth D, Maruyama K and Nori F 2009 Phys. Rev. A 79 020305
[17] Burgarth D and Maruyama K 2009 New J. Phys. 11 103019
[18] Bairey E, Arad I and Linder N H 2019 Phys. Rev. Lett. 122 020504
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