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High-capacity quantum key distribution using Chebyshev-map values corresponding to Lucas numbers coding

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Abstract

We propose an approach that achieves high-capacity quantum key distribution using Chebyshev-map values corresponding to Lucas numbers coding. In particular, we encode a key with the Chebyshev-map values corresponding to Lucas numbers and then use k-Chebyshev maps to achieve consecutive and flexible key expansion and apply the pre-shared classical information between Alice and Bob and fountain codes for privacy amplification to solve the security of the exchange of classical information via the classical channel. Consequently, our high-capacity protocol does not have the limitations imposed by orbital angular momentum and down-conversion bandwidths, and it meets the requirements for longer distances and lower error rates simultaneously.

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Acknowledgments

Hong Lai has been supported by the Fundamental Research Funds for the Central Universities (No. XDJK2016C043) and the Doctoral Program of Higher Education (No. SWU115091). Josef Pieprzyk has been supported by National Science Centre, Poland, Project Registration Number UMO-2014/15/B/ST6/05130. Fuyuan Xiao is supported by the Fundamental Research Funds for the Central Universities (No. XDJK2015C107) and the Doctoral Program of Higher Education (No. SWU115008). Jinghua Xiao is supported by the National Natural Science Foundation of China (No. 61377067). Mingxing Luo is supported by the National Natural Science Foundation of China (No. 61303039). The paper is also supported by the financial support in part by the 1000-Plan of Chongqing by Southwest University (No. SWU116007).

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Authors and Affiliations

  1. School of Computer and Information Science, Southwest University, Chongqing, 400715, China

    Hong Lai & Fuyuan Xiao

  2. Department of Computing, Macquarie University, Sydney, NSW, 2109, Australia

    Mehmet A. Orgun

  3. Faculty of Information Technology, Macau University of Science and Technology, Avenida Wai Long, Taipa, 999078, Macau, China

    Mehmet A. Orgun

  4. School of Electrical Engineering and Computer Science, Queensland University of Technology, Brisbane, QLD, 4000, Australia

    Josef Pieprzyk

  5. Institute of Computer Science, Polish Academy of Sciences, 01-248, Warsaw, Poland

    Josef Pieprzyk

  6. State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing, 100876, China

    Jing Li

  7. Information Security and National Computing Grid Laboratory, School of Information Science and Technology, Southwest Jiaotong University, Chengdu, 610031, China

    Mingxing Luo

  8. School of Science, Beijing University of Posts and Telecommunications, Beijing, 100876, China

    Jinghua Xiao

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  1. Hong Lai
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  2. Mehmet A. Orgun
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  3. Josef Pieprzyk
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  4. Jing Li
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  5. Mingxing Luo
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  6. Jinghua Xiao
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  7. Fuyuan Xiao
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Correspondence to Hong Lai or Mehmet A. Orgun.

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Lai, H., Orgun, M.A., Pieprzyk, J. et al. High-capacity quantum key distribution using Chebyshev-map values corresponding to Lucas numbers coding. Quantum Inf Process 15, 4663–4679 (2016). https://doi.org/10.1007/s11128-016-1420-y

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  • DOI: https://doi.org/10.1007/s11128-016-1420-y

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