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Controlling discrete quantum walks: coins and initial states

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Published 2 July 2003 Published under licence by IOP Publishing Ltd
, , Citation Ben Tregenna et al 2003 New J. Phys. 5 83 DOI 10.1088/1367-2630/5/1/383

1367-2630/5/1/83

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.

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