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Hash Function Based on Quantum Walks

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Abstract

Higher security and lower collision rate have always been people’s pursuits in the construction of hash functions. We consider a quantum walk where a walker is driven by two coins alternately. At each step, a message bit decides whether to swap two coins. In this way, a keyed hash function is constructed. Theoretically infinite possibilities of the initial parameters as the key ensure the security of the proposed hash function against the unforgery and collision resistance. Finally, we establish a generic quantum walk-based hash function model and give a guide in constructing hash functions in quantum walk architecture. It also provides a clue for the construction of other quantum walk-based cryptography protocols.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grant No. 61572053); Beijing Natural Science Foundation (Grant No.4182006); the National Natural Science Foundation of China (Grant Nos. 61671087,U1636106,61602019, 61571226, 61701229, 61702367); Natural Science Foundation of Jiangsu Province, China (Grant No.BK20170802); Jiangsu Postdoctoral Science Foundation.

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Authors and Affiliations

  1. Faculty of Information Technology, Beijing University of Technology, Beijing, 100124, China

    Yu-Guang Yang, Jing-Lin Bi, Yi-Hua Zhou & Wei-Min Shi

  2. Beijing Key Laboratory of Trusted Computing, Beijing, 100124, China

    Yu-Guang Yang

  3. College of Computer Science and Technology, Nanjing University of Aeronautics and Astronautics, Nanjing, 210016, China

    Dan Li

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  1. Yu-Guang Yang
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Yang, YG., Bi, JL., Li, D. et al. Hash Function Based on Quantum Walks. Int J Theor Phys 58, 1861–1873 (2019). https://doi.org/10.1007/s10773-019-04081-z

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