Quantum walks and elliptic integrals

Authors:
Norio Konno
Affiliations:
Department of applied mathematics, faculty of engineering, yokohama national university, hodogaya, yokohama 240-8501, japan email: konno@ynu.ac.jp
Venue:
Mathematical Structures in Computer Science
Year:
2010

Citing 5
Cited 2

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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.