Quantum walk with a four-dimensional coin

Hamilton, Craig S and Gábri, Aurél and Jex, Igor and Barnett, Stephen M (2011) Quantum walk with a four-dimensional coin. New Journal of Physics, 13. 013015. ISSN 1367-2630

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    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.