Implementation of one-dimensional quantum walks on spin-orbital angular momentum space of photons

Abstract

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 infinity 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.

5 pages, 1 figure

References in corpus (28)

• Quantum Mechanics helps in searching for a needle in a haystack
• Entanglement of Orbital Angular Momentum States of Photons
• Optical spin-to-orbital angular momentum conversion in inhomogeneous anisotropic media
• A Quantum Random Walk Search Algorithm
• Universal computation by quantum walk
• Towards Quantum Chemistry on a Quantum Computer
• Quantum Walk in Position Space with Single Optically Trapped Atoms
• Photons Walking the Line: A quantum walk with adjustable coin operations
• Quantum walk of a trapped ion in phase space
• Discrete single-photon quantum walks with tunable decoherence
• Quantum information transfer from spin to orbital angular momentum of photons
• Implementing the quantum random walk
• Experimental Implementation of Discrete Time Quantum Random Walk on an NMR Quantum Information Processor
• Pancharatnam-Berry phase optical elements for wavefront shaping in the visible domain: switchable helical modes generation
• Quantum random walks in optical lattices
• Experimental Implementation of the Quantum Random-Walk Algorithm
• Optimal quantum cloning of orbital angular momentum photon qubits via Hong-Ou-Mandel coalescence
• Quantum walk on the line as an interference phenomenon
• Quantum quincunx in cavity quantum electrodynamics
• Universal unitary gate for single-photon 2-qubit states
• Quantum walk on a line for a trapped ion
• Simulation of quantum random walks using interference of classical field
• Polarization control of single photon quantum orbital angular momentum states
• Optical Cavity Implementations of the Quantum Walk
• Three routes to the exact asymptotics for the one-dimensional quantum walk
• Quantum walks on circles in phase space via superconducting circuit quantum electrodynamics
• Quantum random walks using quantum accelerator modes
• Universal unitary gate for single-photon spinorbit four-dimensional states

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