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A novel quantum private set intersection scheme with a semi-honest third party

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Abstract

In this paper, we propose a novel scheme with a semi-honest third party (TP) to compute the intersection of two parties’ sets privately. In our scheme, two groups of particles are firstly prepared by TP and then transmitted circularly among TP and two participants who need the intersection of their private sets. The two participants then perform the unitary operations on their received particles according to an initial encoding rule for their private sets, respectively, to help TP to obtain the result. We analyse the security of our scheme and show that it can resist both outside and inside attacks over ideal and noisy quantum channels. In addition, our scheme is feasible with current quantum technologies as it only requires simple quantum resources and operations.

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Acknowledgements

This work was supported by the Guangdong Basic and Applied Basic Research Foundation (Grant No. 2021A1515011985), the National Natural Science Foundation of China (Grant No. 61902132), the Guangdong Basic and Applied Basic Research Foundation (Grant No. 2022A1515140116) and the National Natural Science Foundation of China (Grant No. 61872152).

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Correspondence to Cai Zhang.

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Chen, Y., Situ, H., Huang, Q. et al. A novel quantum private set intersection scheme with a semi-honest third party. Quantum Inf Process 22, 429 (2023). https://doi.org/10.1007/s11128-023-04195-8

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