An example of the difference between quantum and classical random walks

Physics – Quantum Physics

Scientific paper

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Details

4 pages, 4 EPS figures, REVTeX

Scientific paper

10.1023/A:1019609420309

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.

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