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Quantum walks and elliptic integrals

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Type
Published Article
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Submission Date
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arXiv ID: 0912.4678
Source
arXiv
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Abstract

Polya showed in his 1921 paper that the generating function of the return probability for a two-dimensional random walk can be written in terms of an elliptic integral. In this paper we present a similar expression for a one-dimensional quantum walk.

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