Quantum Information Processing

, Volume 15, Issue 11, pp 4663–4679 | Cite as

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

  • Hong Lai
  • Mehmet A. Orgun
  • Josef Pieprzyk
  • Jing Li
  • Mingxing Luo
  • Jinghua Xiao
  • Fuyuan Xiao


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.


High-capacity quantum key distribution k-Chebyshev maps Consecutive and flexible key expansion Longer distances and lower error rates 



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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Copyright information

© Springer Science+Business Media New York 2016

Authors and Affiliations

  • Hong Lai
    • 1
  • Mehmet A. Orgun
    • 2
    • 3
  • Josef Pieprzyk
    • 4
    • 5
  • Jing Li
    • 6
  • Mingxing Luo
    • 7
  • Jinghua Xiao
    • 8
  • Fuyuan Xiao
    • 1
  1. 1.School of Computer and Information ScienceSouthwest UniversityChongqingChina
  2. 2.Department of ComputingMacquarie UniversitySydneyAustralia
  3. 3.Faculty of Information TechnologyMacau University of Science and TechnologyTaipaChina
  4. 4.School of Electrical Engineering and Computer ScienceQueensland University of TechnologyBrisbaneAustralia
  5. 5.Institute of Computer SciencePolish Academy of SciencesWarsawPoland
  6. 6.State Key Laboratory of Networking and Switching TechnologyBeijing University of Posts and TelecommunicationsBeijingChina
  7. 7.Information Security and National Computing Grid Laboratory, School of Information Science and TechnologySouthwest Jiaotong UniversityChengduChina
  8. 8.School of ScienceBeijing University of Posts and TelecommunicationsBeijingChina

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