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Quantum walks and wavepacket dynamics on a lattice with twisted photons

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TLDR
In this paper, a photonic implementation of the quantum walk in the orbital angular momentum space of light is presented, where the whole process develops in a single light beam, with no need of interferometers, and it requires optical resources scaling linearly with the number of steps.
Abstract
The “quantum walk” has emerged recently as a paradigmatic process for the dynamic simulation of complex quantum systems, entanglement production and quantum computation. Hitherto, photonic implementations of quantum walks have mainly been based on multipath interferometric schemes in real space. We report the experimental realization of a discrete quantum walk taking place in the orbital angular momentum space of light, both for a single photon and for two simultaneous photons. In contrast to previous implementations, the whole process develops in a single light beam, with no need of interferometers; it requires optical resources scaling linearly with the number of steps; and it allows flexible control of input and output superposition states. Exploiting the latter property, we explored the system band structure in momentum space and the associated spin-orbit topological features by simulating the quantum dynamics of Gaussian wavepackets. Our demonstration introduces a novel versatile photonic platform for quantum simulations.

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Journal ArticleDOI

Topological Photonics

TL;DR: Topological photonics is a rapidly emerging field of research in which geometrical and topological ideas are exploited to design and control the behavior of light as mentioned in this paper, which holds great promise for applications.
Journal ArticleDOI

Twisted photons: new quantum perspectives in high dimensions

TL;DR: In this paper, a review of the theoretical differences between qubits and higher dimensional systems, qudits, in different quantum information scenarios is given. And the authors consider the advantages of such higher-dimensional systems, which include higher information capacity and greater protection from eavesdropping.
Journal ArticleDOI

Photonic quantum information processing: a review

TL;DR: A comprehensive review of the state of the art in this active field, with a due balance between theoretical, experimental and technological results, can be found in this article, where significant achievements are presented in tables or in schematic figures, in order to convey a global perspective of the several horizons that fall under the name of photonic quantum information.
Journal ArticleDOI

High-dimensional intracity quantum cryptography with structured photons

TL;DR: It is demonstrated that, even through moderate turbulence without active wavefront correction, high-dimensional photon states are advantageous for securely transmitting more information, opening the way for intracity high- dimensional quantum communications under realistic conditions.
Journal ArticleDOI

Twisted Photons: New Quantum Perspectives in High Dimensions

TL;DR: This review article gives a brief overview of the theoretical differences between qubits and higher dimensional systems, qudits, in different quantum information scenarios and describes recent experimental developments in this field over the past three years.
References
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Journal ArticleDOI

Simulating physics with computers

TL;DR: In this paper, the authors describe the possibility of simulating physics in the classical approximation, a thing which is usually described by local differential equations, and the possibility that there is to be an exact simulation, that the computer will do exactly the same as nature.
Journal ArticleDOI

A scheme for efficient quantum computation with linear optics.

TL;DR: It is shown that efficient quantum computation is possible using only beam splitters, phase shifters, single photon sources and photo-detectors and are robust against errors from photon loss and detector inefficiency.
Journal ArticleDOI

Optical spin-to-orbital angular momentum conversion in inhomogeneous anisotropic media

TL;DR: An optical process in which the spin angular momentum carried by a circularly polarized light beam is converted into orbital angular momentum, leading to the generation of helical modes with a wave-front helicity controlled by the input polarization is demonstrated.
Journal ArticleDOI

Quantum random walks: an introductory overview

Julia Kempe
- 13 Mar 2003 - 
TL;DR: This article will introduce quantum random walks, review some of their properties and outline their striking differences to classical walks, introducing some of the main concepts and language of present day quantum information science in this context.
Journal ArticleDOI

Discretizing light behaviour in linear and nonlinear waveguide lattices.

TL;DR: Light propagating in linear and nonlinear waveguide lattices exhibits behaviour characteristic of that encountered in discrete systems, which can be exploited to achieve diffraction-free propagation and minimize the power requirements for nonlinear processes.
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