Quantum Inf Process (2012) 11:1013–1014 DOI 10.1007/s11128-012-0450-3 EDITORIAL Yutaka Shikano Received: 8 June 2012 / Accepted: 4 July 2012 / Published online: 15 July 2012 © Springer Science+Business Media, LLC 2012 Understanding quantum dynamical features seems to be needed to open the next step of quantum information science. One strong candidate to understand quantum dynamical phenomena is a quantum walk. Quantum walks are deﬁned as the quantum- mechanical analogue of the classical random walk. However, those are not the quan- tization of the classical random walks. Like the classical random walks, there may be many applications of the quantum walks. Therefore, the community of the quantum walk is an interdisciplinary ﬁeld from mathematics to the experimental physics. The quantum walks have two types; the discrete-time and the continuous-time quantum walks. Both common and unique features are the followings; (i) the ballistic transport system, which corresponds to quantum transportation and (ii) non-normal probability distribution under the uniform system, and (iii) the Anderson-like localization. By combining these features, quantum walks show an intriguing phenomena in mathe- matics, physics, and computer science. The community of quantum walks is grad- ually increased. They held some workshops, e.g., at Tokyo Institute of Technology, Tokyo,
Quantum Information Processing – Springer Journals
Published: Jul 15, 2012
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