Based on decoherence-free states, two multi-party semi-quantum private comparison protocols are proposed to counteract collective noises. One could resist the collective-dephasing noise well, whereas the other could resist the collective-rotation noise. Multiple classical participants could compare their secret information by performing the proposed protocols once. It is manifested that the proposed protocols could resist both external attacks and internal attacks. Besides, the operations of our protocols were simulated on the IBM Quantum Experience.

翻译：基于无不一致状态,提出了两个多党半量级私人比较协议,以对抗集体噪音。 我们可以抵制集体破坏噪音, 而另一个可以抵制集体破坏噪音。 多个古典参与者可以通过一次执行拟议的议定书来比较他们的秘密信息。 这表明拟议的议定书既可以抵制外部攻击,也可以抵制内部攻击。 此外,我们的议定书的运作是以IBM 量子实验模拟的。