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Generation and protection of steady-state quantum correlations due to quantum channels with memory

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Abstract

We have proposed a scheme of the generation and preservation of two-qubit steady-state quantum correlations through quantum channels where successive uses of the channels are correlated. Different types of noisy channels with memory, such as amplitude damping, phase damping, and depolarizing channels, have been taken into account. Some analytical or numerical results are presented. The effect of channels with memory on dynamics of quantum correlations has been discussed in detail. The results show that steady-state entanglement between two initial qubits whose initial states are prepared in a specific family states without entanglement subject to amplitude damping channel with memory can be generated. The entanglement creation is related to the memory coefficient of channel \(\mu \). The stronger the memory coefficient of channel \( \mu \) is, the more the entanglement creation is, and the earlier the separable state becomes the entangled state. Besides, we compare the dynamics of entanglement with that of quantum discord when a two-qubit system is initially prepared in an entangled state. We show that entanglement dynamics suddenly disappears, while quantum discord dynamics displays only in the asymptotic limit. Furthermore, two-qubit quantum correlations can be preserved at a long time in the limit of \(\mu \rightarrow 1\).

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Acknowledgments

This work is supported by the National Natural Science Foundation of China (Grant No. 11374096), the Natural Science Foundation of Hunan Province (Grant No. 2016JJ2045), the Start-up Funds for Talent Introduction and Scientific Research of Changsha University 2015 (SF1504) and Scientific Research Project of Hunan Province Department of Education (16C0134 and 16C0469).

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Authors and Affiliations

  1. Department of Electronic and Communication Engineering, Changsha University, Changsha, 410022, Hunan, People’s Republic of China

    You-neng Guo & Ke Zeng

  2. Hunan Province Key Laboratory of Applied Environmental Photocatalysis, Changsha University, Changsha, 410022, Hunan, People’s Republic of China

    You-neng Guo & Ke Zeng

  3. Key Laboratory of Low-Dimensional Quantum Structures and Quantum Control of Ministry of Education, and Department of Physics, Hunan Normal University, Changsha, 410081, People’s Republic of China

    Mao-fa Fang

  4. College of Science, Hunan University of Technology, Zhuzhou, 412008, People’s Republic of China

    Guo-you Wang

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  1. You-neng Guo
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  2. Mao-fa Fang
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Correspondence to You-neng Guo.

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Guo, Yn., Fang, Mf., Wang, Gy. et al. Generation and protection of steady-state quantum correlations due to quantum channels with memory. Quantum Inf Process 15, 5129–5144 (2016). https://doi.org/10.1007/s11128-016-1442-5

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