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(t,n) Threshold Quantum Secret Sharing Using Rotation Operation

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Abstract

In this paper, a (t,n) threshold quantum secret sharing protocol for sharing quantum states is proposed by using rotation operation and Lagrange interpolation. In this protocol, according to Shamir’s (t,n) secret sharing, the dealer first shares a secret with n participants, and encrypts each quantum state through rotation operation. Then, each participant performs his encoding operation on each quantum state according to his share. Finally, the initial quantum states can be recovered by any t out of the n participants using Lagrange interpolation. The performance analysis shows that our protocol is correct and can resist some common external and internal attacks. Moreover, compared with related protocols, our protocol is more feasible with current technology. Furthermore, simulation experiments on the IBM Q Experience cloud platform demonstrate the effectiveness of the presented protocol.

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Acknowledgements

This work was supported by National Natural Science Foundation of China (Grants No. 61772134, No. 61976053, and No. 62171131), Fujian Province Natural Science Foundation (Grant No. 2018J01776), and Program for New Century Excellent Talents in Fujian Province University.

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Authors and Affiliations

  1. College of Computer and Cyber Security, Fujian Normal University, Fuzhou, 350007, China

    Ning Wang, Xin Zhang, Xiaodong Zhang & Song Lin

  2. School of Information Science and Technology, Zhengzhou Normal University, Zhengzhou, 450044, China

    Ning Wang

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  1. Ning Wang
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  2. Xin Zhang
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  3. Xiaodong Zhang
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Correspondence to Song Lin.

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Wang, N., Zhang, X., Zhang, X. et al. (t,n) Threshold Quantum Secret Sharing Using Rotation Operation. Int J Theor Phys 61, 166 (2022). https://doi.org/10.1007/s10773-022-05121-x

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