In this paper, we propose two semi-quantum private comparison (SQPC) protocols based on Bell states. With the help of a semi-honest quantum third party (TP), two classical users can compare the equality of their secrets without leaking them. That TP is semi-honest means she may misbehave on her own, but she is not allowed to conspire with any user. The quantum measurement is not invoked in the first protocol, whereas the classical user in previous SQPC protocols has to be equipped with quantum measurement equipment. In the second protocol, the classical user prepares the opposite states based on her (his) measurements. By this way, all cases can produce the sharing key. The two protocols are more efficient than the previous SQPC protocols. What is more, we show that our protocols are secure against some famous attacks, such as the intercept-resend attack, the measure-resend attack, the entangle-measure attack and the participant attack.

中文翻译：

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基于贝尔状态的半量子私有比较

在本文中，我们提出了两种基于贝尔状态的半量子专用比较（SQPC）协议。在半诚实的量子第三方（TP）的帮助下，两个经典用户可以比较其机密的相等性而不会泄漏它们。TP是半诚实的，意味着她可能会自己行为不当，但不允许她与任何用户共谋。在第一个协议中不调用量子测量，而以前的SQPC协议中的经典用户必须配备量子测量设备。在第二种协议中，传统用户根据其测量值准备相反的状态。这样，所有情况都可以产生共享密钥。这两个协议比以前的SQPC协议更有效。而且，我们证明了我们的协议可抵抗某些著名的攻击，