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Quantum walks and elliptic integrals
Published online by Cambridge University Press: 08 November 2010
Abstract
Pólya 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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- Mathematical Structures in Computer Science , Volume 20 , Special Issue 6: Quantum Algorithms , December 2010 , pp. 1091 - 1098
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- Copyright © Cambridge University Press 2010
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