AN EFFICIENT PROTOCOL FOR THE QUANTUM PRIVATE COMPARISON OF EQUALITY WITH A FOUR-QUBIT CLUSTER STATE

In this paper, we further research the quantum private comparison protocol with the semi-honest participant, in which two parties can test the equality of their information without revealing the content to anyone. Considering both the success of protocol and the security of information, we first give a reasonable and significant description about the semi-honest model in quantum secure communications. Moreover, based on the feature of four-qubit cluster state which has the great robust against decoherence, we propose a new protocol for the quantum private comparison. Our protocol ingeniously utilizes the special symmetry of the four-qubit cluster state to enhance the efficiency of comparison. This new protocol is secure. The participants only know the result of comparison; cannot know each other's private information. TP cannot learn anything about the private information, even about the comparison result and the length of secret inputs.

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Quantum Private Comparison of Arbitrary Single Qubit States Based on Swap Test

Chinese Physics B ◽

10.1088/1674-1056/ac4103 ◽

2021 ◽

Author(s):

Xi Huang ◽

Yan Chang ◽

Wen Cheng ◽

Min Hou ◽

Shi-Bin Zhang

Keyword(s):

Quantum State ◽

Private Information ◽

Security Analysis ◽

Entanglement Swapping ◽

Third Party ◽

Quantum Private Comparison ◽

Single Qubit ◽

Private Comparison ◽

Comparison Results ◽

Qubit States

Abstract In this paper, by using swap test, a quantum private comparison (QPC) protocol of arbitrary single qubit states with a semi-honest third party is proposed. The semi-honest third party (TP) is required to help two participants perform the comparison. She can record intermediate results and do some calculations in the whole process of the protocol execution, but she cannot conspire with any participants. In the process of comparison, TP cannot get two participants' private information except the comparison results. According to the security analysis, the proposed protocol can resist both outsider attacks and participant attacks. Compared with the existing QPC protocols, the proposed one does not require any entanglement swapping technology, and it can compare two participants' qubits by performing swap test, which is easier to implement with current technology. Meanwhile, the proposed protocol can compare secret integers. It encodes secret integers into the amplitude of quantum state rather than transfer them as binary representations, and the encoded quantum state is compared by performing swap test. Additionally, the proposed QPC protocol is extended to the QPC of arbitrary single qubit states by using multi-qubit swap test.

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Quantum Private Comparison of Equality Based on Five-Particle Cluster State

Communications in Theoretical Physics ◽

10.1088/0253-6102/66/6/621 ◽

2016 ◽

Vol 66 (6) ◽

pp. 621-628 ◽

Cited By ~ 3

Author(s):

Yan Chang ◽

Wen-Bo Zhang ◽

Shi-Bin Zhang ◽

Hai-Chun Wang ◽

Li-Li Yan ◽

...

Keyword(s):

Cluster State ◽

Quantum Private Comparison ◽

Particle Cluster ◽

Private Comparison

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Secure dynamic multiparty quantum private comparison

Scientific Reports ◽

10.1038/s41598-019-53967-9 ◽

2019 ◽

Vol 9 (1) ◽

Author(s):

Hussein Abulkasim ◽

Ahmed Farouk ◽

Safwat Hamad ◽

Atefeh Mashatan ◽

Shohini Ghose

Keyword(s):

Private Information ◽

Security Analysis ◽

Third Parties ◽

Quantum Private Comparison ◽

Secret Information ◽

The Third ◽

Random Keys ◽

Private Comparison

AbstractWe propose a feasible and efficient dynamic multiparty quantum private comparison protocol that is fully secure against participant attacks. In the proposed scheme, two almost-dishonest third parties generate two random keys and send them to all participants. Every participant independently encrypts their private information with the encryption keys and sends it to the third parties. The third parties can analyze the equality of all or some participants’ secrets without gaining access to the secret information. New participants can dynamically join the protocol without the need for any additional conditions in the protocol. We provide detailed correctness and security analysis of the proposed protocol. Our security analysis of the proposed protocol against both inside and outside attacks proves that attackers cannot extract any secret information.

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