Photons can carry spin angular momentum (SAM) and orbital angular momentum (OAM), which can be used to realize a qubit system and a high-dimension system, respectively. This spin-orbital system is very suitable for implementing one-dimensional discrete-time quantum random walks. We propose a simple scheme of quantum walks on the spin-orbital angular momentum space of photons, where photons walk on the infinite OAM space controlled by their SAM. By employing the recent invention of an optical device, the so-called `` $q$ -plate,'' our scheme is more simple and efficient than others because there is no Mach-Zehnder interferometer in the scheme.Photons can carry spin angular momentum (SAM) and orbital angular momentum (OAM), which can be used to realize a qubit system and a high-dimension system, respectively. This spin-orbital system is very suitable for implementing one-dimensional discrete-time quantum random walks. We propose a simple scheme of quantum walks on the spin-orbital angular momentum space of photons, where photons walk on the infinite OAM space controlled by their SAM. By employing the recent invention of an optical device, the so-called ``$q$-plate,'' our scheme is more simple and efficient than others because there is no Mach-Zehnder interferometer in the scheme.

arXiv:1002.0638Physical Review AMay 18, 201053 citations

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Quantum information with even and odd states of orbital angular momentum of light

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Quantum walk with a four-dimensional coin

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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.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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Quantum walk with a four-dimensional coin

Craig S Hamilton, A. Gábris, Igor Jex +1 more

arXiv:1103.0126New Journal of PhysicsJan 13, 201126 citations

q

-plate,'' our scheme is more simple and efficient than others because there is no Mach-Zehnder interferometer in the scheme.