Orthogonal Polynomials Induced by Discrete-Time Quantum Walks in One Dimension

Masatoshi HAMADA; Norio KONNO; Wojciech MŁOTKOWSKI

doi:10.4036/iis.2009.367

Interdisciplinary Information Sciences

Online ISSN : 1347-6157
Print ISSN : 1340-9050
ISSN-L : 1340-9050

Special Issue: New Trends in Infinite Dimensional Analysis and Quantum Probability

Orthogonal Polynomials Induced by Discrete-Time Quantum Walks in One Dimension

Masatoshi HAMADA, Norio KONNO, Wojciech MŁOTKOWSKI

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Keywords: qunatum walk, orthogonal polynomial, Hadamard walk

JOURNAL FREE ACCESS

2009 Volume 15 Issue 3 Pages 367-375

DOI https://doi.org/10.4036/iis.2009.367

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Abstract

In this paper we obtain some properties of orthogonal polynomials given by a weight function which is a limit density of a rescaled discrete-time quantum walk on the line.

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