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Novel quantum key distribution with shift operations based on Fibonacci and Lucas valued orbital angular momentum entangled states

Author

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  • Lai, Hong
  • Pieprzyk, Josef
  • Orgun, Mehmet A.

Abstract

There have been many proposals for round-robin-differential-phase-shift (RRDPS) quantum key distribution (QKD) protocols due to their unique security foundation and many advantages over the existing QKD protocols. Inspired by such QKD protocols, we propose a novel QKD protocol with k-right or k-left shifts (where k=1,2) based on the Fibonacci- and Lucas-valued orbital angular momentum (OAM) entangled states. That is, we firmly establish the link by the shift operation to Fibonacci or Lucas numbers using the Fibonacci-valued or Lucas-valued OAM entangled states. There are three critical aspects of our proposal highlighted as follows. First, we randomly use a certain number of k-right or k-left shifts to resist the side channel attack. Second, we add the shifted Fibonacci numbers to the original Fibonacci numbers to obtain the Fibonacci or Lucas sequences, which are then used for a constructing a diagonal matrix for the key. Third, we greatly improve the key rate while reducing the complexity of the implementation of the protocol.

Suggested Citation

  • Lai, Hong & Pieprzyk, Josef & Orgun, Mehmet A., 2020. "Novel quantum key distribution with shift operations based on Fibonacci and Lucas valued orbital angular momentum entangled states," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 554(C).
    • Handle: RePEc:eee:phsmap:v:554:y:2020:i:c:s0378437120303435
    DOI: 10.1016/j.physa.2020.124694
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    References listed on IDEAS

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    1. Zhen-Qiang Yin & Shuang Wang & Wei Chen & Yun-Guang Han & Rong Wang & Guang-Can Guo & Zheng-Fu Han, 2018. "Improved security bound for the round-robin-differential-phase-shift quantum key distribution," Nature Communications, Nature, vol. 9(1), pages 1-8, December.
    2. Toshihiko Sasaki & Yoshihisa Yamamoto & Masato Koashi, 2014. "Practical quantum key distribution protocol without monitoring signal disturbance," Nature, Nature, vol. 509(7501), pages 475-478, May.
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    Cited by:

    1. Ji, Zhaoxu & Fan, Peiru & Zhang, Huanguo, 2022. "Entanglement swapping for Bell states and Greenberger–Horne–Zeilinger states in qubit systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 585(C).
    2. Cai, Xiao-Qiu & Wang, Tian-Yin & Wei, Chun-Yan & Gao, Fei, 2022. "Cryptanalysis of quantum digital signature for the access control of sensitive data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 593(C).
    3. Chen, Lingli & Li, Qin & Liu, Chengdong & Peng, Yu & Yu, Fang, 2021. "Efficient mediated semi-quantum key distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 582(C).
    4. Cai, Xiao-Qiu & Liu, Zi-Fan & Wei, Chun-Yan & Wang, Tian-Yin, 2022. "Long distance measurement-device-independent three-party quantum key agreement," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 607(C).

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