Quantum random walk on the integer lattice: examples and phenomena
Combinatorics
2009-11-23 v2 Mathematical Physics
math.MP
Abstract
We apply results from Baryshnikov, Brady, Bressler and Pemantle (2008) to compute limiting probability profiles for various quantum random walks in one and two dimensions. Using analytic machinery we show some features of the limit distribution that are not evident in an empirical intensity plot of the time 10,000 distribution. Some conjectures are stated and computational techniques are discussed as well.
Cite
@article{arxiv.0903.2967,
title = {Quantum random walk on the integer lattice: examples and phenomena},
author = {Andrew Bressler and Torin Greenwood and Robin Pemantle and Marko Petkovsek},
journal= {arXiv preprint arXiv:0903.2967},
year = {2009}
}