Quantum walk with a four-dimensional coin

Craig S Hamilton, Aurél Gábri, Igor Jex, Stephen M Barnett

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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.

Original languageEnglish
Article number013015
Number of pages14
JournalNew Journal of Physics
Publication statusPublished - 13 Jan 2011


  • orbital angular-momentum
  • modes
  • light
  • quantum mechanics

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