Analytic views of quantum walks

Ian Fuss; Lang White; Peter Sherman; Sanjeev Naguleswaran

doi:10.1117/12.726362

7 June 2007 Analytic views of quantum walks

Ian Fuss, Lang White, Peter Sherman, Sanjeev Naguleswaran

Proceedings Volume 6603, Noise and Fluctuations in Photonics, Quantum Optics, and Communications; 66030Q (2007) https://doi.org/10.1117/12.726362
Event: SPIE Fourth International Symposium on Fluctuations and Noise, 2007, Florence, Italy

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.

Citation Download Citation

Ian Fuss, Lang White, Peter Sherman, and Sanjeev Naguleswaran "Analytic views of quantum walks", Proc. SPIE 6603, Noise and Fluctuations in Photonics, Quantum Optics, and Communications, 66030Q (7 June 2007); https://doi.org/10.1117/12.726362

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