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Characterizing the dynamics of entropic uncertainty for multi-measurement

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Abstract

Uncertainty principle lies at the heart of quantum theory and is regarded as a vital property essentially differing from the rule in classical physics. We herein study the dynamics of the entropic uncertainty with regard to multi-measurement in the Markovian and non-Markovian regimes, respectively. We show that how non-Markovian and Markovian noises influence the dynamical evolutions of the measurement uncertainty and its bound. Moreover, we design a simple and valid method to decrease the uncertainty through pre-weak measurement and post-reversal measurement on the subsystems. Further, we offer the physical interpretations behind the uncertainty dynamics by the systemic quantum correlation. Finally, we apply the current observations on entanglement witness.

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Acknowledgements

This work was supported by the National Science Foundation of China under Grant Nos. 61601002 and 11575001, and the fund from CAS Key Laboratory of Quantum Information (Grant No. KQI201701).

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Authors and Affiliations

  1. School of Physics and Material Science, Anhui University, Hefei, 230601, China

    A-Long Zhou, Dong Wang, Fei Ming, Wei-Nan Shi, Jie Yang & Liu Ye

  2. CAS Key Laboratory of Quantum Information, University of Science and Technology of China, Hefei, 230026, China

    Dong Wang

Authors
  1. A-Long Zhou
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  2. Dong Wang
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  3. Fei Ming
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  4. Wei-Nan Shi
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  5. Jie Yang
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  6. Liu Ye
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Correspondence to Dong Wang.

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Zhou, AL., Wang, D., Ming, F. et al. Characterizing the dynamics of entropic uncertainty for multi-measurement. Eur. Phys. J. Plus 135, 489 (2020). https://doi.org/10.1140/epjp/s13360-020-00506-5

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