An example of the difference between quantum and classical random walks

Childs, Andrew M.; Farhi, Edward; Gutmann, Sam

An example of the difference between quantum and classical random walks

Authors

Childs, Andrew M.

Farhi, Edward

Gutmann, Sam

Description

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