Improving the efficiency of quantum hash function by dense coding of coin operators in discrete-time quantum walk |
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Authors: | YuGuang Yang YuChen Zhang Gang Xu XiuBo Chen Yi-Hua Zhou WeiMin Shi |
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Affiliation: | 1.Faculty of Information Technology,Beijing University of Technology,Beijing,China;2.Information Security Center, State Key Laboratory of Networking and Switching Technology,Beijing University of Posts and Telecommunications,Beijing,China |
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Abstract: | Li et al. first proposed a quantum hash function (QHF) in a quantum-walk architecture. In their scheme, two two-particle interactions, i.e., I interaction and π-phase interaction are introduced and the choice of I or π-phase interactions at each iteration depends on a message bit. In this paper, we propose an efficient QHF by dense coding of coin operators in discrete-time quantum walk. Compared with existing QHFs, our protocol has the following advantages: the efficiency of the QHF can be doubled and even more; only one particle is enough and two-particle interactions are unnecessary so that quantum resources are saved. It is a clue to apply the dense coding technique to quantum cryptographic protocols, especially to the applications with restricted quantum resources. |
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