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In the avid search for means to increase computational power in comparison to that which is currently available,
quantum walks (QWs) have become a promising option with derived quantum algorithms providing an associated speed
up compared to what is currently used for implementation in classical computers. It has additionally been shown that the
physical implementation of QWs will provide a successful computational basis for a quantum computer. It follows that
considerable drive for finding such means has been occurring over the 20+ years since its introduction with phenomena
such as electrons and photons being employed. Principal problems encountered with such quantum systems involve the
vulnerability to environmental influence as well as scalability of the systems. Here we outline how to perform the QW
due to interference characteristics inherent in the phenomenon, to mitigate these challenges. We utilize the properties of
vector beams to physically implement such a walk in orbital angular momentum space by manipulating polarization and
exploiting the non-separability of such beams.
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B. Sephton, A. Dudley, A. Forbes, "Towards non-classical walks with bright laser pulses," Proc. SPIE 10409, Quantum Communications and Quantum Imaging XV, 104090R (30 August 2017); https://doi.org/10.1117/12.2274238