Quantum random walks and their convergence
Operator Algebras
2007-05-23 v1
Abstract
Using coordinate-free basic operators on toy Fock spaces \cite{AP}, quantum random walks are defined following the ideas in \cite{LP,AP}. Strong convergence of quantum random walks associated with bounded structure maps is proved under suitable assumptions, extendings the result obtained in \cite{KBS} in case of one dimensional noise. To handle infinite dimensional noise we have used the coordinate-free language of quantum stochastic calculus developed in \cite{GS1}.
Cite
@article{arxiv.math/0505438,
title = {Quantum random walks and their convergence},
author = {Lingaraj Sahu},
journal= {arXiv preprint arXiv:math/0505438},
year = {2007}
}