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Tightness Entropic Uncertainty Relation in Quantum Markovian-Davies Environment

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Abstract

In this paper, we investigate the tightness of entropic uncertainty relation in the absence (presence) of the quantum memory which the memory particle being weakly coupled to a decohering Davies-type Markovian environment. The results show that the tightness of the quantum uncertainty relation can be controlled by the energy relaxation time F, the dephasing time G and the rescaled temperature p, the perfect tightness can be arrived by dephasing and energy relaxation satisfying F = 2G and p = 1/2. In addition, the tightness of the memory-assisted entropic uncertainty relation and the entropic uncertainty relation can be influenced mainly by the purity. While in memory-assisted model, the purity and quantum correlation can also influence the tightness actively while the quantum entanglement can influence the tightness slightly.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China, under Grant Nos.11747126,11547134,11771011 and the Natural Science Foundation of Shanxi Province, China (Grant Nos.201601D021009,201701D221011).

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Authors and Affiliations

  1. College of Data Science, Taiyuan University of Technology, Taiyuan, 030024, China

    Jun Zhang

  2. College of Mathematics, Institute of Mathematics, Taiyuan University of Technology, Taiyuan, 030024, China

    Jun Zhang & Liang Liu

  3. Department of Mechanics, Taiyuan University of Technology, Taiyuan, 030024, China

    Liang Liu

  4. School of Physics and Optoelectronic Technology, Taiyuan University of Technology, Taiyuan, 030024, China

    Yan Han

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  1. Jun Zhang
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  2. Liang Liu
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  3. Yan Han
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Correspondence to Jun Zhang.

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Zhang, J., Liu, L. & Han, Y. Tightness Entropic Uncertainty Relation in Quantum Markovian-Davies Environment. Int J Theor Phys 57, 2523–2535 (2018). https://doi.org/10.1007/s10773-018-3774-7

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  • DOI: https://doi.org/10.1007/s10773-018-3774-7

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