Inhomogeneous Quantum Walks

Details Inhomogeneous Quantum Walks Inhomogeneous Quantum Walks

2009-06-19

arxiv.org/abs/0906.3692v1

Physics

Quantum Physics

11 pages

Scientific paper

We study a natural construction of a general class of inhomogeneous quantum walks (namely walks whose transition probabilities depend on position). Within the class we analyze walks that are periodic in position and show that, depending on the period, such walks can be bounded or unbounded in time; in the latter case we analyze the asymptotic speed. We compare the construction to others in the existing literature. As an example we give a quantum version of a non-irreducible classical walk: the Polya Urn.

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