In this paper, we propose a mutual authenticated quantum key agreement scheme based on three-particle entangled states, which can achieve both completely secure and more efficient. In our scheme, the shared keys are classical bit strings between the trusted third party Charlie and the client (Alice or Bob), so they are kept and use to authenticate each other easily. More important, by the Charlie’s helping with three-particle entangled states using subset of intersection method, Charlie and Alice/Bob can authenticate each other, and at the same time anyone else cannot get the session key between Alice and Bob even Charlie. The proposed scheme has the properties of completeness, information theoretic security, non-repudiation and unforgeability. Its information-theoretic security is ensured by quantum indistinguishability mechanics. On the other hand, our scheme is more efficient than the similar schemes.

中文翻译：

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使用相交子集的三粒子纠缠态的经过验证的量子对话协议

在本文中，我们提出了一种基于三粒子纠缠态的相互认证的量子密钥协商方案，该方案可以实现完全安全和更高效。在我们的方案中，共享密钥是受信任的第三方 Charlie 和客户端（Alice 或 Bob）之间的经典位串，因此它们被保存并用于轻松地相互验证。更重要的是，通过Charlie 使用相交子集方法帮助处理三粒子纠缠态，Charlie 和Alice/Bob 可以相互验证，同时其他任何人都无法获得Alice 和Bob 之间的会话密钥，甚至Charlie。该方案具有完备性、信息论安全性、不可否认性和不可伪造性。其信息论安全性由量子不可区分性机制确保。