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The influence of correlated noise on the SDC protocol

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Abstract

In this paper, we study the simultaneous dense coding (SDC) protocol when the noise on consecutive uses of the channel has some partial correlations. Three typical kinds of correlated noise are studied, i.e., the correlated depolarizing channel, the correlated dephasing channel and the correlated amplitude damping channel. Three success probabilities of SDC are calculated to evaluate the influence of the correlated noise. The analytical expressions of the success probabilities as functions of the noise strength and the correlation level are given.

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Acknowledgements

This work is supported by the National Natural Science Foundation of China (Nos. 61602532, 61871205, 61772565), the Innovation Project of Department of Education of Guangdong Province of China (No. 2017KTSCX180), and the Science and Technology Project of Jiangmen City of China (No. 2018JC01019).

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Authors and Affiliations

  1. College of Mathematics and Informatics, South China Agricultural University, Guangzhou, 510642, China

    Haozhen Situ

  2. School of Economics and Management, Wuyi University, Jiangmen, 529020, China

    Zhiming Huang

  3. Center for Quantum Computing, Peng Cheng Laboratory, Shenzhen, 518055, China

    Xiangfu Zou & Shenggen Zheng

  4. School of Mathematics and Computational Science, Wuyi University, Jiangmen, 529020, China

    Xiangfu Zou

  5. Institute for Quantum Science and Engineering, Southern University of Science and Technology, Shenzhen, 518055, China

    Shenggen Zheng

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  1. Haozhen Situ
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  2. Zhiming Huang
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Correspondence to Zhiming Huang.

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Situ, H., Huang, Z., Zou, X. et al. The influence of correlated noise on the SDC protocol. Quantum Inf Process 19, 48 (2020). https://doi.org/10.1007/s11128-019-2551-8

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  • DOI: https://doi.org/10.1007/s11128-019-2551-8

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