基于密集编码的多方与多方量子秘密共享

摘要

To solve the problem of secret sharing between multiparty and multiparty, a new multiparty-to-multiparty quantum secret sharing protocol is proposed based on dense-coding. It performs different local operations on different photons of the Bell state, choosing separately from the random phase shift operations and the combinations of Pauli operations and either Hadamard operation or I operation. This protocol can resist not only the existing attacks such as the dense-coding attack and the entanglement-swapping attack, but also the cheating attack from the agent, which is viewed as verifiability. Meanwhile, the protocol is also high-efficient and can change the sub-secrets and the group of agents dynamically.%该文针对多方与多方之间的秘密共享问题，通过对 Bell 态的两个粒子分别进行相位旋转局域操作，以及Pauli变换与Hadamard变换、I变换之一复合的局域操作，基于密集编码思想提出一种新的多方与多方量子秘密共享协议。该协议不仅可以抵抗现有的攻击策略如密集编码攻击、纠缠交换攻击等，还可以抵抗代理成员的欺骗攻击，即具备可验证功能。同时，该协议还具有高效率、可动态更新子秘密和增减代理成员等特点。