https://doi.org/10.1140/epjs/s11734-025-01971-8
Regular Article
Verifiable quantum secret sharing protocol based on the privacy-preserving computation
1
Henan Key Laboratory of Quantum Information and Cryptography, Zhengzhou Information Science and Technology Institute, 450001, Zhengzhou, China
2
Synergetic Innovation Centre of Quantum Information and Quantum Physics, University of Science and Technology of China, 230026, Hefei, Anhui, China
a
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Received:
30
April
2025
Accepted:
17
September
2025
Published online:
16
October
2025
Abstract
To address the issue that most existing schemes struggle to resist insider spoofing attacks, we first construct a general framework for the verifiable quantum secret sharing protocol using message authentication methods, and then propose a novel verifiable algorithm based on the privacy-preserving computation. The new algorithm leverages the additive homomorphic properties of matrices to achieve the privacy computing and can verify secret information without revealing sub-secrets. This new algorithm can effectively resist typical attack strategies, including the cheating attack and forgery attack. Furthermore, compared with existing verification schemes, the proposed scheme demonstrates high efficiency without long-term quantum storage, making it practically feasible under current technological conditions.
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© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
