Implementing Quantum Walks Using Orbital Angular Momentum of Classical Light

Abstract

We present an implementation scheme for a quantum walk in the orbital angular momentum space of a laser beam. The scheme makes use of a ring interferometer, containing a quarter-wave plate and a q plate. This setup enables one to perform an arbitrary number of quantum walk steps. In addition, the classical nature of the implementation scheme makes it possible to observe the quantum walk evolution in real time. We use nonquantum entanglement of the laser beam's polarization with its orbital angular momentum to implement the quantum walk.

References in corpus (11)

• Optical spin-to-orbital angular momentum conversion in inhomogeneous anisotropic media
• Environment-Assisted Quantum Walks in Photosynthetic Energy Transfer
• Quantum walks of correlated particles
• Spatial search by quantum walk
• Quantum Walk in Position Space with Single Optically Trapped Atoms
• A 2D Quantum Walk Simulation of Two-Particle Dynamics
• Discrete single-photon quantum walks with tunable decoherence
• Optimal quantum cloning of orbital angular momentum photon qubits via Hong-Ou-Mandel coalescence
• Spin-orbit hybrid entanglement of photons and quantum contextuality
• Optimizing the discrete time quantum walk using a SU(2) coin
• Implementation of one-dimensional quantum walks on spin-orbital angular momentum space of photons

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• Quantum communication with $SU(2)$ invariant separable $2\times N$ level systems
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• Observation of novel robust edge states without bulk-boundary correspondence in non-Hermitian quantum walks
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• State transfer with separable optical beams and variational quantum algorithms with classical light
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• Classical structured light analogy of quantum squeezed state
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