Multi-user quantum private comparison with scattered preparation and one-way convergent transmission of quantum states

TL;DR

This paper introduces a new multi-user quantum private comparison protocol utilizing scattered quantum state preparation and one-way transmission, enabling efficient and secure equality checks among multiple users with current technology.

Contribution

It proposes a novel MQPC protocol based on scattered preparation and one-way transmission, capable of comparing any pair of users among K users in a single run.

Findings

Protocol guarantees correctness and security against attacks.

Can be implemented with current quantum technologies.

Enables arbitrary pair comparison among multiple users.

Abstract

Quantum private comparison (QPC) aims to accomplish the equality comparison of the secrets from different users without disclosing their genuine contents by using the principles of quantum mechanics. In this paper, we summarize eight modes of quantum state preparation and transmission existing in current QPC protocols first. Then, by using the mode of scattered preparation and one-way convergent transmission, we construct a new multi-user quantum private comparison (MQPC) protocol with two-particle maximally entangled states, which can accomplish arbitrary pair's comparison of equality among K users within one execution. Analysis turns out that its output correctness and its security against both the outside attack and the participant attack are guaranteed. The proposed MQPC protocol can be implemented with current technologies. It can be concluded that the mode of scattered preparation and one-way convergent transmission of quantum states is beneficial to designing the MQPC protocol which can accomplish arbitrary pair's comparison of equality among K users within one execution.