Quantum Private Set Intersection Cardinality Protocol With Application to Privacy-Preserving Condition Query

Private Set Intersection Cardinality (PSI-CA) is one of the most concerned issues with the protection of privacy, in which two parties jointly compute the intersection cardinality without revealing their respective private sets. There are important applications of PSI-CA in real society, e.g., stron...

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Published in:IEEE transactions on circuits and systems. I, Regular papers Vol. 69; no. 6; pp. 2399 - 2411
Main Authors: Shi, Run-Hua, Li, Yi-Fei
Format: Journal Article
Language:English
Published: New York IEEE 01.06.2022
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
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ISSN:1549-8328, 1558-0806
Online Access:Get full text
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Summary:Private Set Intersection Cardinality (PSI-CA) is one of the most concerned issues with the protection of privacy, in which two parties jointly compute the intersection cardinality without revealing their respective private sets. There are important applications of PSI-CA in real society, e.g., strongly privacy-preserving data statistics in contact tracing for health authorities to fight the outbreaks of highly contagious diseases. In this paper, we present a novel quantum PSI-CA protocol, in which we adopt oblivious quantum key distribution, secure quantum summation and quantum counting algorithm. The proposed PSI-CA protocol not only ensures the approximatively perfect security but also achieves the linear communication complexity, i.e., <inline-formula> <tex-math notation="LaTeX">{O(N)} </tex-math></inline-formula>. Furthermore, we define a new privacy protection problem, i.e., Privacy-preserving Condition Query (PCQ), and provide an efficient solution to the PCQ problem based on the proposed quantum PSI-CA protocol. Finally, we verify the correctness and the feasibility of the proposed quantum PSI-CA protocol by circuit simulations in IBM Qiskit.
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ISSN:1549-8328
1558-0806
DOI:10.1109/TCSI.2022.3152591