Weak limits for quantum random walks.


We formulate and prove a general weak limit theorem for quantum random walks in one and more dimensions. With X(n) denoting position at time n, we show that X(n)/n converges weakly as n--> infinity to a certain distribution which is absolutely continuous and of bounded support. The proof is rigorous and makes use of Fourier transform methods. This approach… (More)

Cite this paper

@article{Grimmett2004WeakLF, title={Weak limits for quantum random walks.}, author={Geoffrey R. Grimmett and Svante Janson and Petra F. Scudo}, journal={Physical review. E, Statistical, nonlinear, and soft matter physics}, year={2004}, volume={69 2 Pt 2}, pages={026119} }