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Rational quantum secret sharing scheme based on GHZ state

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Abstract

In this paper, a new rational quantum secret sharing scheme based on GHZ state is proposed. It realizes the secret sharing among n agents by encoding the secret with the link between measurement base and measurement result. Comprehensive security analysis shows that our presented scheme can defend eavesdropping attack, entanglement attack and collusion attack. Moreover, it is also proved that the new protocol can achieve correctness, fairness, strict Nash equilibrium and k-resilient equilibrium, which are required by rational secret sharing protocol. Compared with the existing rational quantum secret sharing schemes, our scheme is simple and can achieve stronger balance. Besides, it is feasible in practical application since a relevant protocol has been recently implemented on the IBM quantum computer.

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Acknowledgements

This work is supported by the Youth project of Fujian Provincial Department of Education under Grant No. JAT170142, National Natural Science Foundation of China under Grant No. 61972095,62072104, 62171131,82072043, General projects of Fujian provincial fund under Grant No. 2020J01159, Guiding project of science and Technology Department of Fujian Province under Grander No. 2019H0010.

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Authors and Affiliations

  1. College of Computer and Cyber Security, Fujian Normal University, Fuzhou, 350108, China

    Xiaodong Zhang, Lili Wang, Song Lin, Ning Wang & Linjian Hong

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

    Ning Wang

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  1. Xiaodong Zhang
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  2. Lili Wang
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Correspondence to Lili Wang.

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Zhang, X., Wang, L., Lin, S. et al. Rational quantum secret sharing scheme based on GHZ state. Quantum Inf Process 22, 91 (2023). https://doi.org/10.1007/s11128-022-03739-8

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