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Weak limits for quantum random walks - MaRDI portal

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Weak limits for quantum random walks

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Publication:6502610

DOI10.1103/PHYSREVE.69.026119arXivquant-ph/0309135WikidataQ52002528 ScholiaQ52002528MaRDI QIDQ6502610

Author name not available (Why is that?)


Abstract: We formulate and prove a general weak limit theorem for quantum random walks in one and more dimensions. With Xn denoting position at time n, we show that Xn/n converges weakly as noinfty 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 simplifies and extends certain preceding derivations valid in one dimension that make use of combinatorial and path integral methods.












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