分别基于四粒子Cluster态和一个非对称的四粒子纠缠态,提出两个量子秘密共享的方案,其中共享的秘密是未知的单粒子态。秘密的发送者需要对手中的粒子进行Bell基测量,协助者需要对手中的粒子进行测量或者实施幺正操作,最后接收者通过对手中的粒子进行相应的幺正变换或者受控非门操作,就可以重构原始秘密。通过分析表明,任何一个代理者在其他两方协助下是可以恢复秘密的,所以提出的方案是高效且安全可靠的。
Used a four-qubit Cluster state and an asmmetric four-qubit entangled state respectively, this paper proposed two schemes for quantum secret sharing of single-qubit state. The sender of the secret performed Bell-basis measuremented on her particles, and the cooperator operated measurements on his paticles or implemented unitary operators, then the secret receiver could reconstruct tlhe original secret by applying the appropriate unitary operation or controlled-not gate. The analysis shows that any agent can recover secret with the help of the others, so the proposed schemes show more effcient and secure.