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Quantum direct secret sharing with efficient eavesdropping-check and authentication based on distributed fountain codes

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Abstract

We propose to use a simple and effective way to achieve secure quantum direct secret sharing. The proposed scheme uses the properties of fountain codes to allow a realization of the physical conditions necessary for the implementation of no-cloning principle for eavesdropping-check and authentication. In our scheme, to achieve a variety of security purposes, nonorthogonal state particles are inserted in the transmitted sequence carrying the secret shares to disorder it. However, the positions of the inserted nonorthogonal state particles are not announced directly, but are obtained by sending degrees and positions of a sequence that are pre-shared between Alice and each Bob. Moreover, they can confirm that whether there exists an eavesdropper without exchanging classical messages. Most importantly, without knowing the positions of the inserted nonorthogonal state particles and the sequence constituted by the first particles from every EPR pair, the proposed scheme is shown to be secure.

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Acknowledgments

The authors are grateful to the two anonymous referees for their valuable comments and suggestions which helped improve the presentation of this paper. Hong Lai has been supported in part by an International Macquarie University Research Excellence Scholarship (iMQRES). This work is also supported by the National Basic Research Program of China (973 Program) (Grant No. 2010CB923200), the National Natural Science Foundation of China (No. 61377067). The work is also supported by Fund of State Key Laboratory of Information Photonics and Optical Communications (Beijing University of Posts and Telecommunications), P. R. China.

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Authors and Affiliations

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

    Hong Lai & Jinghua Xiao

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

    Hong Lai, Mehmet A. Orgun & Josef Pieprzyk

  3. Corporate Analytics, The Australian Taxation Office, Sydney, NSW , 2000, Australia

    Liyin Xue

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  1. Hong Lai
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Correspondence to Hong Lai.

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Lai, H., Xiao, J., Orgun, M.A. et al. Quantum direct secret sharing with efficient eavesdropping-check and authentication based on distributed fountain codes. Quantum Inf Process 13, 895–907 (2014). https://doi.org/10.1007/s11128-013-0699-1

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