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Verifiable Multi-Dimensional (t,n) Threshold Quantum Secret Sharing Based on Quantum Walk

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Abstract

The latest verifiable threshold quantum state sharing schemes have advantages over efficiency and security, since the secret message can be expanded to multiple dimension. However, these schemes could be attacked by either unauthenticated participants or invalidated secret shadows provided by authenticated participants. To overcome the shortcomings of current schemes and achieve greater efficiency, a novel verifiable multi-dimensional (t, n) threshold quantum state sharing scheme is proposed. The transformed secret state is shared by the multi-coin quantum walk. The identity of the participant and the validation of the secret are verified with help of the rotational unitary operator and Hash function. The correctness of the proposed protocol is proved by a determined case and a experimental simulation result performed on the IBM Quantum Experience. The results show that, the proposed scheme has higher security and superior efficiency under similar quantum resources compared with the three other schemes. This protocol can prevent attacks strategies performed by the illegal participant and dishonest participants with the verification phase. It will be widely used for online e-government, e-business systems.

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Acknowledgements

Project supported by Natural Science Foundation of Hunan Province (2021JJ30454), Hunan Provincial Science and Technology Project Foundation (2018TP1018).

Funding

Project supported by Natural Science Foundation of Hunan Province (2021JJ30454), Hunan Provincial Science and Technology Project Foundation (2018TP1018).

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Authors and Affiliations

  1. Hunan Provincial Key Laboratory of Intelligent Computing and Language Information Processing, Hunan Normal University, Changsha, 410081, China

    Yu Wang, Xiaoping Lou, Zhou Fan, Sheng Wang & Guan Huang

  2. School of Computer Science and Technology, Hunan University of Arts and Science, Changde, China

    Xiaoping Lou

  3. Hunan Province Cooperative Innovation Center for The Construction and Development of Dongting Lake Ecological Economic Zone, Changde, China

    Xiaoping Lou

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  1. Yu Wang
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  2. Xiaoping Lou
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  3. Zhou Fan
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  4. Sheng Wang
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  5. Guan Huang
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Corresponding author

Correspondence to Xiaoping Lou.

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Wang, Y., Lou, X., Fan, Z. et al. Verifiable Multi-Dimensional (t,n) Threshold Quantum Secret Sharing Based on Quantum Walk. Int J Theor Phys 61, 24 (2022). https://doi.org/10.1007/s10773-022-05009-w

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