Absorption problems for quantum walks in one dimension
Quantum Physics
2009-11-07 v4
Abstract
This paper treats absorption problems for the one-dimensional quantum walk determined by a 2 times 2 unitary matrix U on a state space {0,1,...,N} where N is finite or infinite by using a new path integral approach based on an orthonormal basis P, Q, R and S of the vector space of complex 2 times 2 matrices. Our method studied here is a natural extension of the approach in the classical random walk.
Cite
@article{arxiv.quant-ph/0208122,
title = {Absorption problems for quantum walks in one dimension},
author = {Norio Konno and Takao Namiki and Takahiro Soshi and Aidan Sudbury},
journal= {arXiv preprint arXiv:quant-ph/0208122},
year = {2009}
}
Comments
15 pages, small corrections, journal reference added