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Time averaged distribution of a discrete-time quantum walk on the path |
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| Authors: | Yusuke Ide Norio Konno Etsuo Segawa |
| Affiliation: | 1. Department of Information Systems Creation, Faculty of Engineering, Kanagawa University, Kanagawa, Yokohama, 221-8686, Japan 2. Department of Applied Mathematics, Faculty of Engineering, Yokohama National University, Hodogaya, Yokohama, 240-8501, Japan 3. Graduate School of Information Science, Tohoku University, Aoba, 980-8579, Sendai, Japan |
| Abstract: | The discrete time quantum walk which is a quantum counterpart of random walk plays important roles in the theory of quantum information theory. In the present paper, we focus on discrete time quantum walks viewed as quantization of random walks on the path. We obtain a weak limit theorem for the time averaged distribution of our quantum walks. |
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