Controlling discrete quantum walks : coins and initial states

Tregenna, Ben and Flanagan, Will and Maile, Rik and Kendon, Viv (2003) Controlling discrete quantum walks : coins and initial states. New Journal of Physics, 5. 83. ISSN 1367-2630 (https://doi.org/10.1088/1367-2630/5/1/383)

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Abstract

In discrete time, coined quantum walks, the coin degrees of freedom offer the potential for a wider range of controls over the evolution of the walk than are available in the continuous time quantum walk. This paper explores some of the possibilities on regular graphs, and also reports periodic behaviour on small cyclic graphs.