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Improving Qubit Phase Estimation in Amplitude-damping Channel by Partial-collapse Measurement

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Abstract

An efficient method is proposed to improve qubit phase estimation in amplitude-damping channel by partial-collapse measurement in this paper. It is shown that the quantum Fisher information (QFI) can be distinctly enhanced under amplitude-damping decoherence with partial-collapse measurement. Moreover, the optimal QFI is approximately close to the maximum value 1 regardless of the decoherence parameter by choosing the appropriate measurement strengths.

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References

  1. Braunstein, S.L., Caves, C.M.: Phys. Rev. Lett. 72, 3439 (1994)

    Article  ADS  MathSciNet  Google Scholar 

  2. Fisher, R.A.: Proc. Camb. Philol. Soc. 22, 700 (1929)

    Article  ADS  Google Scholar 

  3. Huelga, S.F., et al.: Phys. Rev. Lett. 79, 3865 (1997)

    Article  ADS  Google Scholar 

  4. Chin, A.W., Huelga, S.F., Plenio, M.B.: Phys. Rev. Lett. 109, 233601 (2012)

    Article  ADS  Google Scholar 

  5. Ma, J., Huang, Y.X., Wang, X., Sun, C.P.: Phys. Rev. A 84, 022302 (2011)

    Article  ADS  Google Scholar 

  6. Sun, Z., Ma, J., Lu, X.M., Wang, X.: Phys. Rev. A 82, 022306 (2010)

    Article  ADS  Google Scholar 

  7. Krischek, R., et al.: Phys. Rev. Lett. 107, 080504 (2011)

    Article  ADS  Google Scholar 

  8. Strobel, H., et al.: Science 345, 424 (2014)

    Article  ADS  Google Scholar 

  9. Berrada, K. : Phys. Rev. A 88, 035806 (2013)

    Article  ADS  Google Scholar 

  10. Tan, Q.S., Huang, Y., Yin, X., Kuang, L.M., Wang, X.: Phys. Rev. A 87, 032102 (2013)

    Article  ADS  Google Scholar 

  11. Ostermann, L., Ritsch, H., Genes, C.: Phys. Rev. Lett. 111, 123601 (2013)

    Article  ADS  Google Scholar 

  12. Dur, W., Skotiniotis, M., Frowis, F., Kraus, B.: Phys. Rev. Lett. 112, 080801 (2014)

    Article  ADS  Google Scholar 

  13. Chaves, R., Brask, J.B., Markiewicz, M., Koíodynski, J., Acín, A.: Phys. Rev. Lett. 111, 120401 (2013)

    Article  ADS  Google Scholar 

  14. Zheng, Q., Ge, L., Yao, Y., Zhi, Q.J.: Phys. Rev. A 91, 033805 (2015)

    Article  ADS  Google Scholar 

  15. Li, Y.L., Xiao, X., Yao, Y.: Phys. Rev. A 91, 052105 (2015)

    Article  ADS  Google Scholar 

  16. Huang, J., Guo, Y.N., Xie, Q.: Chin. Phys. B 25, 020303 (2016)

    Article  Google Scholar 

  17. Katz, N., et al.: Science 312, 1498 (2006)

    Article  ADS  Google Scholar 

  18. Blok, M.S., Bonato, C., Markham, M.L., Twitchen, D.J., Dobrovitski, V.V., Hanson, R.: Nat. Phys. 10, 189 (2014)

    Article  Google Scholar 

  19. Sun, Q.Q., Al-Amri, M., Zubairy, M.S.: Phys. Rev. A 80, 033838 (2009)

    Article  ADS  Google Scholar 

  20. Man, Z.X., Xia, Y.J., An, N.B.: Phys. Rev. A 86, 012325 (2012)

    Article  ADS  Google Scholar 

  21. Liao, X.P., Ding, X.Z., Fang, M.F.: Quantum Inf. Process. 14, 4395 (2015)

    Article  ADS  MathSciNet  Google Scholar 

  22. Katz, N., et al.: Phys. Rev. Lett. 101, 200401 (2008)

    Article  ADS  Google Scholar 

  23. Kim, Y.S., Cho, Y.W., Ra, Y.S., Kim, Y.H.: Opt. Express 17, 11978 (2009)

    Article  ADS  Google Scholar 

  24. Kim, Y.S., Lee, J.C., Kwon, O., Kim, Y.H.: Nat. Phys. 8, 117 (2012)

    Article  Google Scholar 

  25. Wang, X.W., Yu, S.X., Zhang, D.Y., Oh, C.H.: Sci. Rep. 6, 22408 (2016)

    Article  ADS  Google Scholar 

  26. Wang, S.C., Yu, Z.W., Zou, W.J., Wang, X.B.: Phys. Rev. A 89, 022318 (2014)

    Article  ADS  Google Scholar 

  27. Korotkov, A.N., Jordan, A.N.: Undoing a weak quantum measurement of a solid-state qubit. Phys. Rev. Lett. 97, 166805 (2006)

    Article  ADS  Google Scholar 

  28. Katz, N., Neeley, M., Ansmann, M., Bialczak, R.C., Hofheinz, M., Lucero, E., OConnell, A., Wang, H., Cleland, A.N., Martinis, J.M., Korotkov, A.N.: Phys. Rev. Lett. 101, 200401 (2008)

    Article  ADS  Google Scholar 

  29. Kim, Y.S., Cho, Y.W., Ra, Y.S., Kim, Y.H.: Opt. Express 17, 11978 (2009)

    Article  ADS  Google Scholar 

  30. Bruschi, D.E., Datta, A., Ursin, R., Ralph, T.C., Fuentes, I.: Phys. Rev. D 90, 124001 (2014)

    Article  ADS  Google Scholar 

  31. Ahmadi, M., Bruschi, D.E., Fuentes, I.: Phys. Rev. D 89, 065028 (2014)

    Article  ADS  Google Scholar 

  32. Wang, J., Tian, Z., Jing, J., Fan, H.: Phys. Rev. D 93, 065008 (2016)

    Article  ADS  MathSciNet  Google Scholar 

  33. Lock, M.P.E., Fuentes, I.: Relativistic quantum clocks. arXiv:1609.09426 (2016)

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grant No.11374096 and 11604094), the Natural Science Foundation of Hunan Province of China (Grant No. 2016JJ2044) and the Major Program for the Research Foundation of Education Bureau of Hunan Province of China (Grant No. 16A057).

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Authors and Affiliations

  1. College of Science, Hunan University of Technology, Zhuzhou, Hunan, 412008, China

    Xiang-Ping Liao & Xin Zhou

  2. College of Physics and Information Science, Hunan Normal University, Changsha, Hunan, 410081, China

    Mao-Fa Fang

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  1. Xiang-Ping Liao
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  2. Xin Zhou
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  3. Mao-Fa Fang
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Correspondence to Xiang-Ping Liao.

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Liao, XP., Zhou, X. & Fang, MF. Improving Qubit Phase Estimation in Amplitude-damping Channel by Partial-collapse Measurement. Int J Theor Phys 57, 909–916 (2018). https://doi.org/10.1007/s10773-017-3623-0

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  • DOI: https://doi.org/10.1007/s10773-017-3623-0

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