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arXiv · 1708.01052

Resonant-tunneling in discrete-time quantum walk

Kaname Matsue·Leo Matsuoka·Osamu Ogurisu·Etsuo Segawa
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Abstract

We show that discrete-time quantum walks on the line, $\mathbb{Z}$, behave as "the quantum tunneling". In particular, quantum walkers can tunnel through a double-well with the transmission probability $1$ under a mild condition. This is a property of quantum walks which cannot be seen on classical random walks, and is different from both linear spreadings and localizations.

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Kaname Matsue, Leo Matsuoka, Osamu Ogurisu, Etsuo Segawa. 2017-12-05. Resonant-tunneling in discrete-time quantum walk. https://arxiv.org/abs/1708.01052

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