Fair quantum secret sharing based on symmetric bivariate polynomial

Chen-Ming Bai, Sujuan Zhang and Lu Liu

Physica A: Statistical Mechanics and its Applications, 2022, vol. 589, issue C

Abstract: In this paper, we propose a new fair (t,n) threshold quantum secret sharing scheme based on the d-dimensional Bell state and symmetric bivariate polynomial. In the distribution phase, the dealer uses the symmetric bivariate polynomial to encode the secret and produces the corresponding share for each participant. To achieve fairness, we construct a secret sequence, which can guarantee that each participant can recover the correct secret if all participants are legal and honest. In reconstruction phase, the dealer prepares the d-dimensional Bell state, and all participants perform the unitary operations produced by the share of their polynomials on the transmitted particles to reconstruct the secret. Through the sequential communications, the proposed scheme has a good scalability. Furthermore, we consider the situation that these participants cooperate to recover the secret when the number of participants is more than t. At last, we analyze the correctness, security and fairness of the proposed protocol.

Keywords: Quantum secret sharing; Bell state; Fairness; Symmetric bivariate polynomial; Sequential communications (search for similar items in EconPapers)
Date: 2022
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:589:y:2022:i:c:s0378437121009055

DOI: 10.1016/j.physa.2021.126673

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