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Physica Scripta

Quantum private comparison withd-level single-particle states

Chao‐Hua Yu, Gongde Guo, Song Lin

Published Nov 22, 2013• 27 citations
Publisher

Abstract

In this paper, a quantum private comparison protocol with d -level single-particle states is proposed. In the protocol, a semi-honest third party is introduced to help two participants compare the size relationship of their secrets without revealing them to any other people. It is shown that the protocol is secure in theory. Moreover, the security of the protocol in real circumstance is also discussed.

DOI
10.1088/0031-8949/88/06/065013

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In this paper, a quantum private comparison protocol with d -level single-particle states is proposed. In the protocol, a semi-honest third party is introduced to help two participants compare the size relationship of their secrets without revealing them to any other people. It is shown that the protocol is secure in theory. Moreover, the security of the protocol in real circumstance is also discussed.
In this paper,a quantum private comparison protocol based on d dimensional single-particle states is proposed. In the protocol,a semi-honest third party transfers a sequence of n particles to one participant w ho encodes n secret keys by performing n local unitary operations. Then these particles are sent to the other participant w ho also by the same w ay encodes n secret keys and returns these particles back to the semi-honest party. Finally after the participants broadcast the results of encrypting their secrets w ith secret keys,the semi-honest third party can help the tw o participants compare the size relationships of their n pair corresponding secrets w ithout disclosing them to any other people. In addition,the security of the protocol is also discussed in detail. It is show n that the protocol is secure in theory. Moreover,since only single-particle states are used,as compared w ith other quantum private comparison protocols,the presented protocol is more feasible under the current technical conditions.
In this paper, we propose a novel semiquantum private comparison (SQPC) protocol of the size relationship based on d-level single-particle states. This protocol can compare the size relationship of different privacy messages from two classical users with the help of a semi-honest third party (TP), who is permitted to misbehave on her own, but cannot be in collusion with anyone else. The correctness analysis shows that this protocol can gain correct comparison results. The security analysis results reveal that this protocol can resist some famous outside attacks and participant attacks. This protocol only adopts d-level single-particle states as the initial quantum resource, only requires the TP to perform d-level single-particle measurements, and makes the accurate comparison results inaccessible to the TP. Compared with the only existing SQPC protocol of size relationship (Quantum Inf. Process. 20, 124 (2021)), the proposed protocol has advantages in experimental preparation of initial quantum resource, TP’s experimental measurements, and TP’s knowledge about the comparison results.
Abstract Based on d -dimensional multiparticle maximal entangled states, a novel multi-party private comparison protocol under semi-quantum condition is proposed. With the help of a semi-honest quantum third party, N classical participants can determine the size relationship of their privacies while keeping them private in the devised protocol. Compared with some similar protocols, the presented protocol performs better in terms of security and qubit efficiency. In addition, the effectiveness and the correctness of our protocol are verified with some examples and proofs. By the decoy particles and the pre-shared keys, the presented protocol can defend against the internal and the external attacks.
A feasible multi-party quantum private comparison (MQPC) protocol based on d -dimensional Bell states was proposed. In the protocol, all participants can independently encrypt their privacies and send them to a semi-honest quantum third party (TP) through authenticated channels. Then, the TP can determine the size relationship among all participants’ privacies without gaining access to the private information. We verified correctness and effectiveness of the proposed protocol with some examples. In addition, compared with other similar protocols, it is not necessary to perform unitary operation on particles and only single-particle measurement is required. Furthermore, the relatively high qubit efficiency is promised. The security analysis verifies that the proposed protocol can counteract external and internal attacks in theory.
Abstract In this paper, we propose two multi-party quantum private comparison protocols based on the properties of the d-dimensional GHZ state. Protocol 1 is designed to compare the equality of multiple participants’ secrets with the help of a semi-honest third party TP. The semi-honest TP will follow the protocol honestly, but he may attempt to learn additional information from the protocol execution. In this protocol, multiple participants encode their secret information into the corresponding particles in turn through unitary operations, thereby achieving the comparison of the equality of their multiple secrets in a single execution. This protocol has a wide range of applications. For example, by combining the basic model framework of this protocol with the Chinese Remainder Theorem, we propose Protocol 2. In this protocol, multiple participants compare the size relationships of their multiple secrets with the help of a semi-honest third party TP. Therefore, based on the same basic model framework, the two protocols proposed in this paper can be applied respectively to the comparison of the equality and the size relationships of multiple participants’ secrets. Importantly, the two protocols do not require pre-shared keys. Security analysis shows that the proposed protocols can resist various attacks, including entangle-measure attack, intercept-resend attack, third party attacks, and participant attacks.
Many semi-quantum private comparison (SQPC) protocols have been proposed to compare the equality of participants, but they suffer from low qubit efficiency and require classical participants to perform quantum state measurement and preparation operations. We here propose a novel SQPC protocol based on d-dimensional Bell states. With the assistance of a semi-honest third party, classical participants can compare the sizes of their privacies merely through particle reflection and simple unitary operations, but they do not need to prepare and measure quantum states. Furthermore, participants can compare two bits of privacy just once with one qubit. By combining decoy state eavesdropping detection with pre-shared key encryption as dual security strategies, analysis shows that the proposed protocol is secure against internal and external attack in theory. The qubit efficiency of the protocol reaches 66.7 % , which is significantly superior to existing schemes.