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

Norio Konno

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arXiv · quant-ph/0310191

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

Norio Konno

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Abstract

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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Norio Konno. 2010-06-06. Limit theorems and absorption problems for one-dimensional correlated random walks. https://arxiv.org/abs/quant-ph/0310191

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