Multi-party quantum private comparison with an almost-dishonest third party

This article proposes the first multi-party quantum private comparison protocol with an almost-dishonest third party, where many participants can compare their secrets in either ascending or descending order without revealing any secret information to anyone. In order to do that, the participants need not to pre-share any secret key between them. As a consequence, the proposed scheme can be enforced in several environments such as multi-party ranking and multi-data ranking protocol.