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A novel quantum protocol for secure hamming distance computation

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Abstract

Secure hamming distance computation is an important primitive of secure multiparty computation, enabling two parties to jointly compute the hamming distance without revealing any private information of each party. Secure hamming distance computation has a wide application in private similarity determination fields, such as secure biometric identification and error detection. In this paper, we present a quantum protocol for secure hamming distance computation based on single photons and local unitary operations, ensuring easy implementation with present technologies. Our protocol guarantees fairness between the two parties and provides higher security compared to classical protocols, leveraging the physical principles of quantum mechanics.

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Acknowledgements

This work was supported by National Natural Science Foundation of China (No. 61772001), Anhui Provincial Natural Science Foundation (No. 2108085QF274), Beijing Municipal Natural Science Foundation (No. 4242030), Scientific Research Project of Universities in Anhui Province (No. 2022AH050659, No. 2023AH050582).

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Authors and Affiliations

  1. School of Biomedical Engineering, Anhui Medical University, Hefei, 230012, China

    Zhen-wan Peng, Ran Ding & Fei-fan Zhang

  2. School of Control and Computer Engineering, North China Electric Power University, Beijing, 102206, China

    Run-hua Shi

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  1. Zhen-wan Peng
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  2. Run-hua Shi
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  3. Ran Ding
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  4. Fei-fan Zhang
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Contributions

Study conception, design, and writing of the manuscript: Z.-W.P. and R.-H.S. Analysis and discussion: R.D. and F.-F.Z. All authors reviewed the manuscript.

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Correspondence to Run-hua Shi.

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Peng, Zw., Shi, Rh., Ding, R. et al. A novel quantum protocol for secure hamming distance computation. Quantum Inf Process 23, 165 (2024). https://doi.org/10.1007/s11128-024-04357-2

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