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Quantum walk with a four-dimensional coin

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Published 13 January 2011 Published under licence by IOP Publishing Ltd
, , Citation Craig S Hamilton et al 2011 New J. Phys. 13 013015 DOI 10.1088/1367-2630/13/1/013015

1367-2630/13/1/013015

Abstract

We examine the physical implementation of a discrete time quantum walk with a four-dimensional coin. Our quantum walker is a photon moving repeatedly through a time delay loop, with time being our position space. The quantum coin is implemented using the internal states of the photon: the polarization and two of the orbital angular momentum states. We demonstrate how to implement this physically and what components would be needed. We then illustrate some of the results that could be obtained by performing the experiment.

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10.1088/1367-2630/13/1/013015