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International Journal of Theoretical Physics

, Volume 58, Issue 1, pp 114–120 | Cite as

Enhancing the Precision of Phase Estimation by Weak Measurement and Quantum Measurement Reversal in High Dimensional Quantum System

  • Qiong WangEmail author
  • Zhi He
Article
  • 44 Downloads

Abstract

We investigate the effect of the weak measurement (WM) and quantum measurement reversal (QMR) on the improvement of the parameter-estimation precision for a qurit interacting with a zero-temperature reservoir with both spontaneous emission and dephasing. We derive the exact expressions of the optimal quantum Fisher information (QFI), show explicitly that the WM and QMR operation indeed helps for enhancing the precision of parameter estimation from spontaneous emission damping, but not for dephasing damping. In particular, we found that the enhancement effect is work in high dimensional quantum system, which extends the applicable scope of the WM and QMR approach.

Keywords

The precision of parameter estimation Weak measurement and quantum measurement reversal Spontaneous emission and dephasing 

Notes

Acknowledgments

This work is financially supported by the National Natural Science Foundation of China (Grants No. 61605019 and No. 61505053), the China Postdoctoral Science Foundation (Grant No. 2017M622582).

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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.College of Elementary EducationChangsha Normal UniversityChangshaChina
  2. 2.College of Physics and ElectronicsHunan University of Arts and ScienceChangdeChina

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