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High-capacity (2,3) threshold quantum secret sharing based on asymmetric quantum lossy channels

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Abstract

The main weakness of entanglement is its sensitiveness to the photon loss. In this paper, we exploit the different transmission losses of the free-space and optical fiber quantum channels, to develop a novel approach for (2,3) threshold quantum secret sharing (QSS) of classical information. To be exact, the Dealer Alice allocates W-state to three participants Bob, Charlie and David in terms of the asymmetric losses of their quantum channels, preventing any one participant from recovering the secret alone, but allowing any two of them to recover the secret. In such a way, Alice can flexibly choose the suitable degree of freedom to allocate the quantum shares with respect to the loss characteristics of different quantum channels. Our proposed scheme improves the information capacity from three bits to \((\log _{2} m+2)\) bits, where m denotes the dimension of orbital angular momentum, and improves the security and flexibility of quantum communication, confirming QSS as a realistic technology for safeguarding secret shares in transmission. This work opens a convenient and favorable way to perform QSS.

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Acknowledgements

Hong Lai has been supported by the National Natural Science Foundation of China (No. 61702427) and the Fundamental Research Funds for the Central Universities (XDJK2020B027), the Southwest University Research Fund (SWU1908043) the Chongqing innovation project (No. cx2018076). Ming-Xing Luo is supported by the National Natural Science Foundation of China (No. 61772437), Sichuan Youth Science & Technique Foundation (No. 2017JQ0048) and Fundamental Research Funds for the Central Universities (No. 2018GF07). Josef Pieprzyk has been supported by the Australian Research Council Grant DP180102199.

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Authors and Affiliations

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

    Hong Lai & Cheng Zhan

  2. Data61, CSIRO, Sydney, NSW, 2122, Australia

    Josef Pieprzyk

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

    Josef Pieprzyk

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

    Ming-Xing Luo

  5. School of Information Technology, Deakin University, Geelong, VIC, 3220, Australia

    Lei Pan

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

    Mehmet A. Orgun

  7. Faculty of Information Technology, Macau University of Science and Technology, Avenida Wai Long, 999078, Taipa, Macao

    Mehmet A. Orgun

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  1. Hong Lai
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  2. Josef Pieprzyk
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  3. Ming-Xing Luo
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  4. Cheng Zhan
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  5. Lei Pan
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  6. Mehmet A. Orgun
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Correspondence to Hong Lai.

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Lai, H., Pieprzyk, J., Luo, MX. et al. High-capacity (2,3) threshold quantum secret sharing based on asymmetric quantum lossy channels. Quantum Inf Process 19, 157 (2020). https://doi.org/10.1007/s11128-020-02647-z

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