1010.3481 (Takuya Machida)

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

Takuya Machida

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.

View original: http://arxiv.org/abs/1010.3481