Recently, Gu et al. (2019, arXiv:1907.02656) and Zhang et al. (Quantum Inf Process (2019)18:336) independently pointed out that in Yang et al.’s quantum summation protocol (Quantum Inf Process (2018) 17:129), the party in charge of preparing the initial quantum states is able to steal other parties’ private integer strings without being discovered by launching two special kinds of attack. In this paper, it is pointed out that in Liu et al.’s MQPC protocol, if the third party (TP) named Calvin launches the similar attacks, she can also steal the private secrets from n parties without being discovered. Then, two methods are put forward to avoid this drawback, i.e., the first one is to add the process of checking whether the quantum states shared among n parties are genuinely in the state of |W〉12⋯n while the second one is to encrypt the private secrets from n parties with a private key sequence shared among them beforehand.

中文翻译：

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使用无纠缠交换的d维基态改进多方量子私有比较协议

最近，顾等人。(2019, arXiv:1907.02656) 和 Zhang 等人。(Quantum Inf Process (2019)18:336) 独立指出，在 Yang 等人的量子求和协议 (Quantum Inf Process (2018) 17:129) 中，负责准备初始量子态的一方能够通过发起两种特殊的攻击，在不被发现的情况下窃取其他方的私有整数字符串。本文指出，在Liu等人的MQPC协议中，如果名为Calvin的第三方（TP）发起类似的攻击，她也可以在不被发现的情况下窃取n方的隐私。然后，提出了两种方法来避免这个缺点，即，