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：基于无消相干态，提出了两种多方半量子隐私比较协议以抵抗集体噪声。其中一种协议能有效抵抗集体退相位噪声，另一种则能抵抗集体旋转噪声。多个经典参与者可通过执行一次所提协议实现秘密信息比较。结果表明，所提协议能够抵抗外部攻击与内部攻击。此外，我们在IBM量子体验平台上对协议操作进行了模拟。