论文标题
基于d维钟状态
Multi-party quantum private comparison of size relationship with two third parties based on d-dimensional Bell states
论文作者
论文摘要
在本文中，我们通过采用D维铃铛状态提出了一个具有两个半honest第三方（TPS）的多方量子私人比较（MQPC）协议，该协议可以在一个协议执行中判断来自两个以上用户的私人整数的大小关系。每个TP被允许自己表现不佳，但不能与他人勾结。在拟议的MQPC协议中，仅需要TPS应用D维单粒子测量而不是D维钟状测量值。拟议的MQPC协议中不需要量子纠缠交换和统一操作。安全分析证实了提出的MQPC协议可以抵抗外部攻击和参与者攻击。提出的MQPC协议适应用户希望在两个主管控制下比较其私人整数关系的情况。此外，提出的MQPC协议可以在奇怪的用户环境中使用，因为每对用户之间没有任何通信和预共享密钥。
In this paper, we put forward a multi-party quantum private comparison (MQPC) protocol with two semi-honest third parties (TPs) by adopting d-dimensional Bell states, which can judge the size relationship of private integers from more than two users within one execution of protocol. Each TP is permitted to misbehave on her own but cannot collude with others. In the proposed MQPC protocol, TPs are only required to apply d-dimensional single-particle measurements rather than d-dimensional Bell state measurements. There are no quantum entanglement swapping and unitary operations required in the proposed MQPC protocol. The security analysis validates that the proposed MQPC protocol can resist both the outside attacks and the participant attacks. The proposed MQPC protocol is adaptive for the case that users want to compare the size relationship of their private integers under the control of two supervisors. Furthermore, the proposed MQPC protocol can be used in the strange user environment, because there are not any communication and pre-shared key between each pair of users.
