Private set intersection(PSI) allows two parties to get all common elements of their private sets without leaking any information about their sets. In this paper, we present a novel PSI protocol which is based on quantum Fourier transform. Correctness analysis shows that our protocol can get the result correctly. And the security of our protocol is also analyzed, it can resist most of outside attacks, such as Trojan horse attack, intercept-resend attack, entanglement-and-measure attack, man-in-the-middle attack and so on. And it also can overcome participant attacks.

中文翻译：

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专用集相交的新型量子协议

私有集交集（PSI）允许两方获取其私有集的所有公共元素，而不会泄漏有关其集合的任何信息。在本文中，我们提出了一种基于量子傅立叶变换的新型PSI协议。正确性分析表明，我们的协议可以正确获得结果。并且分析了我们协议的安全性，它可以抵抗大多数外部攻击，例如特洛伊木马攻击，拦截重发攻击，纠缠和量度攻击，中间人攻击等。而且它还可以克服参与者的攻击。