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Controlling of the Entropic Uncertainty in Open Quantum System

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Abstract

We investigate the dynamics of quantum-memory-assisted entropic uncertainty relations under two typical categories of noise: phase damping channel and depolarizing channel in detail. It shows that, owing to the dissipation, the entropic uncertainty monotonically increases and tends to a steady-state value with the increase of the decoherence in phase damping channel, and can always keep its lower bound during the evolution when the initial state is the maximum entangled state. The larger correlated dephasing rate is favorable for suppressing the amount of entropic uncertainty. In contrast, under the depolarizing channel with memory, the entropic uncertainty always fails to reach its lower bound. Besides, the entropic uncertainty and its lower bound firstly increase with time, then turn down and tend to a steady-state value. The larger correlated decay rate has no benefit to improve the accuracy of quantum measurement. Our investigations might offer an insight into the dynamics of the measurement uncertainty under decoherence, and be important to quantum precision measurement in open systems.

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Acknowledgements

This work is supported by the National Natural Science Foundation of China under Grant Nos. 61663016 and 11264015.

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Authors and Affiliations

  1. College of Physics and Communication Electronics, Jiangxi Normal University, Nanchang, Jiangxi, 330022, People’s Republic of China

    Yinghua Ji, Qiang Ke & Juju Hu

  2. Key Laboratory of Photoelectronics and Telecommunication of Jiangxi Province, Nanchang, Jiangxi, 330022, People’s Republic of China

    Yinghua Ji, Qiang Ke & Juju Hu

Authors
  1. Yinghua Ji
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  2. Qiang Ke
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  3. Juju Hu
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Correspondence to Yinghua Ji.

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Ji, Y., Ke, Q. & Hu, J. Controlling of the Entropic Uncertainty in Open Quantum System. Int J Theor Phys 58, 403–414 (2019). https://doi.org/10.1007/s10773-018-3942-9

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  • DOI: https://doi.org/10.1007/s10773-018-3942-9

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