论文标题
基于单个量子的可验证量子秘密共享方案
A Verifiable Quantum Secret Sharing Scheme Based on a Single Qubit
论文作者
论文摘要
为了检测一些内部参与者或外部攻击者的欺诈行为，已经提出了一些可验证的阈值量子秘密共享方案。在本文中，我们使用双变量多项式提出了一个新的可验证阈值结构。首先，爱丽丝选择一个不对称的双变量多项式，并将该多项式的一对值发送给每个参与者。然后，爱丽丝和参与者基于无偏见的基础，在$ d $维的量子状态下以序列统一转换实施，在该基础上，该多项式与这些单一转换联系。最后，安全分析表明，与退出方案相比，所提出的方案可以检测外部和内部攻击的欺诈，并且与最近的方案相当。
To detect frauds from some internal participants or external attackers, some verifiable threshold quantum secret sharing schemes have been proposed. In this paper, we present a new verifiable threshold structure based on a single qubit using bivariate polynomial. First, Alice chooses an asymmetric bivariate polynomial and sends a pair of values from this polynomial to each participant. Then Alice and participants implement in sequence unitary transformation on the $d$-dimensional quantum state based on unbiased bases, where those unitary transformations are contacted by this polynomial. Finally, security analysis shows that the proposed scheme can detect the fraud from external and internal attacks compared with the exiting schemes and is comparable to the recent schemes.
