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arXiv · 1008.1116

Limit theorems for a localization model of 2-state quantum walks

Takuya Machida
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Abstract

We consider 2-state quantum walks (QWs) on the line, which are defined by two matrices. One of the matrices operates the walk at only half-time. In the usual QWs, localization does not occur at all. However, our walk can be localized around the origin. In this paper, we present two limit theorems, that is, one is a stationary distribution and the other is a convergence theorem in distribution.

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Takuya Machida. 2011-06-22. Limit theorems for a localization model of 2-state quantum walks. https://doi.org/10.1142/s0219749911007460

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