Limit theorems and absorption problems for one-dimensional correlated random walks

Details Limit theorems and absorption problems for one-dimensional correlated random walks Limit theorems and absorption problems for one-dimensional correlated random walks

2003-10-31

arxiv.org/abs/quant-ph/0310191v5

Stochastic Models, Vol.25, Issue 1, pp.28-49 (2009)

Physics

Quantum Physics

19 pages, revised version

Scientific paper

There has recently been considerable interest in quantum walks in connection with quantum computing. The walk can be considered as a quantum version of the so-called correlated random walk. We clarify a strong structural similarity between both walks and study limit theorems and absorption problems for correlated random walks by our PQRS method, which was used in our analysis of quantum walks.

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