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arXiv · 1510.03046

A localized quantum walk with a gap in distribution

Takuya Machida
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Abstract

Quantum walks behave differently from what we expect and their probability distributions have unique structures. They have localization, singularities, a gap, and so on. Those features have been discovered from the view point of mathematics and reported as limit theorems. In this paper we focus on a time-dependent three-state quantum walk on the line and demonstrate a limit distribution. Three coin states at each position are iteratively updated by a coin-flip operator and a position-shift operator. As the result of the evolution, we end up to observe both localization and a gap in the limit distribution.

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Takuya Machida. 2015-10-11. A localized quantum walk with a gap in distribution. https://arxiv.org/abs/1510.03046

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