Limit distribution with a combination of density functions for a 2-state quantum walk

Details Limit distribution with a combination of density functions for a 2-state quantum walk Limit distribution with a combination of density functions for a 2-state quantum walk

2010-10-18

arxiv.org/abs/1010.3481v3

Physics

Quantum Physics

19 pages, 14 figures, submitted to Journal of Computational and Theoretical Nanoscience as the special issue on "Theoretical a

Scientific paper

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 starting from the origin, 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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