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Discrete-time interacting quantum walks and quantum Hash schemes

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Abstract

Through introducing discrete-time quantum walks on the infinite line and on circles, we present a kind of two-particle interacting quantum walk which has two kinds of interactions. We investigate the characteristics of this kind of quantum walk and the time evolution of the two particles. Then we put forward a kind of quantum Hash scheme based on two-particle interacting quantum walks and discuss their feasibility and security. The security of this kind of quantum Hash scheme relies on the infinite possibilities of the initial state rather than the algorithmic complexity of hard problems, which will greatly enhance the security of the Hash schemes.

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Authors and Affiliations

  1. School of Science, Beijing University of Posts and Telecommunications, Beijing, 100876, China

    Dan Li, Jie Zhang & Fen-Zhuo Guo

  2. State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing, 100876, China

    Dan Li, Jie Zhang, Fen-Zhuo Guo, Wei Huang & Qiao-Yan Wen

  3. Science and Technology on Communication Security Laboratory, P.O. Box 810, Chengdu, 610041, China

    Hui Chen

Authors
  1. Dan Li
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  2. Jie Zhang
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  3. Fen-Zhuo Guo
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  4. Wei Huang
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  5. Qiao-Yan Wen
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  6. Hui Chen
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Correspondence to Dan Li.

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Li, D., Zhang, J., Guo, FZ. et al. Discrete-time interacting quantum walks and quantum Hash schemes. Quantum Inf Process 12, 1501–1513 (2013). https://doi.org/10.1007/s11128-012-0421-8

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  • DOI: https://doi.org/10.1007/s11128-012-0421-8

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