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Proceedings Paper

Analytic views of quantum walks
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Paper Abstract

The first general analytic solutions for the one-dimensional quantum walk in position and momentum space are derived. These solutions reveal new symmetry features of quantum walk probability densities and insight into the behaviour of their moments. The analytic expressions for the quantum walk probability distributions provide a means of modelling quantum phenomena that is analogous to that provided by random walks in the classical domain.

Paper Details

Date Published: 7 June 2007
PDF: 12 pages
Proc. SPIE 6603, Noise and Fluctuations in Photonics, Quantum Optics, and Communications, 66030Q (7 June 2007); doi: 10.1117/12.726362
Show Author Affiliations
Ian Fuss, Univ. of Adelaide (Australia)
Lang White, Univ. of Adelaide (Australia)
Peter Sherman, Iowa Univ. (United States)
Sanjeev Naguleswaran, Univ. of Adelaide (Australia)

Published in SPIE Proceedings Vol. 6603:
Noise and Fluctuations in Photonics, Quantum Optics, and Communications
Leon Cohen, Editor(s)

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