Quantum walks and elliptic integrals

Details Quantum walks and elliptic integrals Quantum walks and elliptic integrals

2009-12-23

arxiv.org/abs/0912.4678v3

Mathematical Structures in Computer Science, Vol.20, pp.1091-1098 (2010)

Physics

Quantum Physics

8 pages, Journal-ref added

Scientific paper

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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