Limit theorems of a 3state quantum walk and its application for discrete uniform measures
Abstract
We present two longtime limit theorems of a 3state quantum walk on the line when the walker starts from the origin. One is a limit measure which is obtained from the probability distribution of the walk at a longtime limit, and the other is a convergence in distribution for the walker's position in a rescaled space by time. In addition, as an application of the walk, we obtain discrete uniform limit measures from the 3state walk with a delocalized initial state.
 Publication:

arXiv eprints
 Pub Date:
 April 2014
 DOI:
 10.48550/arXiv.1404.1522
 arXiv:
 arXiv:1404.1522
 Bibcode:
 2014arXiv1404.1522M
 Keywords:

 Quantum Physics;
 Mathematics  Probability
 EPrint:
 Quantum Information and Computation, Vol.15 No.5&