论文标题
具有可验证功能的量子秘密共享方案
A quantum secret sharing scheme with verifiable function
论文作者
论文摘要
在$ \ left({t,n} \右)$阈值量子秘密共享方案中,很难确保内部参与者诚实。在本文中,设计了可验证的$ \ left({t,n} \右)$ threshold量子秘密共享方案与经典的秘密共享方案相结合。首先,分销商使用非对称二进制多项式生成股票并将其发送给每个参与者。其次,分销商将初始量子状态带给第一参与者,并且每个参与者都执行单一操作,该操作使用获得的$ d $ dumension单位量子状态($ d $是一个较大的奇数prime数字)。在此过程中,分销商可以随机检查参与者,并通过统一逆操作逐渐向上找出内部欺诈者。然后,在所有其他参与者同时进行公共传播之后,将重建秘密。安全分析表明,该方案可以抵抗外部和内部攻击。
In the $\left( {t,n} \right)$ threshold quantum secret sharing scheme, it is difficult to ensure that internal participants are honest. In this paper, a verifiable $\left( {t,n} \right)$ threshold quantum secret sharing scheme is designed combined with classical secret sharing scheme. First of all, the distributor uses the asymmetric binary polynomials to generate the shares and sends them to each participant. Secondly, the distributor sends the initial quantum state with the secret to the first participant, and each participant performs unitary operation that using the mutually unbiased bases on the obtained $d$ dimension single bit quantum state ($d$ is a large odd prime number). In this process, distributor can randomly check the participants, and find out the internal fraudsters by unitary inverse operation gradually upward. Then the secret is reconstructed after all other participants simultaneously public transmission. Security analysis show that this scheme can resist both external and internal attacks.