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Controlling the quantum-memory-assisted entropic uncertainty relation by quantum-jump-based feedback control in dissipative environments

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Abstract

The dynamic properties of the quantum-memory-assisted entropic uncertainty relation for a system comprised of a qubit to be measured and a memory qubit are investigated. We explore the behaviors of the entropic uncertainty and its lower bound in three different cases: Only one of the two qubits interacts with an external environment and subjects to quantum-jump-based feedback control, or both of the two qubits independently experience their own environments and local quantum-jump-based feedback control. Our results reveal that the quantum-jump-based feedback control with an appropriate feedback parameter can reduce the entropic uncertainty and its lower bound, and for the three different scenarios, the reduction in the uncertainty relates to different physical quantities. Besides, we find out that the quantum-jump-based feedback control not only can remarkably decrease the entropic uncertainty, but also can make the uncertainty reach its lower bound where the dynamical map becomes unital.

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Acknowledgements

This work is supported by the National Natural Science Foundation of China (Grant No. 11374096) and Hunan Provincial Innovation Foundation for Postgraduate (CX2017B177).

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Authors and Affiliations

  1. Department of Physics, Key Laboratory of Low-Dimensional Quantum Structures and Quantum Control of Ministry of Education, and Synergetic Innovation Center for Quantum Effects and Applications, Hunan Normal University, Changsha, 410081, China

    Min Yu & Mao-Fa Fang

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  1. Min Yu
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  2. Mao-Fa Fang
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Correspondence to Mao-Fa Fang.

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Yu, M., Fang, MF. Controlling the quantum-memory-assisted entropic uncertainty relation by quantum-jump-based feedback control in dissipative environments. Quantum Inf Process 16, 213 (2017). https://doi.org/10.1007/s11128-017-1666-z

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