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

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.

International Journal of Quantum Information, Vol.9, No.3, pp.863-874 (2011)

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Cited by in corpus (5)

• Quantum walks: a comprehensive review
• Discrete-time quantum walk on complex networks for community detection
• A quantum walk with a delocalized initial state: contribution from a coin-flip operator
• Two-dimensional quantum central limit theorem by quantum walks
• Limit distribution of a time-dependent quantum walk on the half line