An example of the difference between quantum and classical random walks
arXiv:quant-ph/0103020 · doi:10.1023/A:1019609420309
Abstract
In this note, we discuss a general definition of quantum random walks on graphs and illustrate with a simple graph the possibility of very different behavior between a classical random walk and its quantum analogue. In this graph, propagation between a particular pair of nodes is exponentially faster in the quantum case.
4 pages, 4 EPS figures, REVTeX