Multiparty quantum private comparison based on quantum walks

Initially, we address two issues that exist in multiparty quantum private comparison protocols. One among those arises when XOR operation is used in the multiparty comparison. The other issue occurs due to the poor implementation of multiparty computation, which leads to semi-honest third-party to access private data of the participants. Then, we propose a multiparty quantum private comparison protocol based on quantum walks on a circle. The protocol checks whether all parties (participants) hold the same value or not with the help of a semi-honest third-party (TP). Finally, we prove the correctness and security of the proposed system.