Photonic Discrete-time Quantum Walks and Applications

We present a review of photonic implementations of discrete-time quantum walks (DTQW) in the spatial and temporal domains, based on spatial- and time-multiplexing techniques, respectively. Additionally, we propose a detailed novel scheme for photonic DTQW, using transverse spatial modes of single ph...

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Main Authors: Leonardo Neves, Graciana Puentes
Format: Article
Language:English
Published: MDPI AG 2018-09-01
Series:Entropy
Subjects:
Online Access:http://www.mdpi.com/1099-4300/20/10/731
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spelling doaj-9ccdb521e7964868b3276c118e5d079c2020-11-24T22:53:41ZengMDPI AGEntropy1099-43002018-09-01201073110.3390/e20100731e20100731Photonic Discrete-time Quantum Walks and ApplicationsLeonardo Neves0Graciana Puentes1Departamento de Física, Universidade Federal de Minas Gerais, Belo Horizonte, MG 31270-901, BrazilDepartamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, 1428 Buenos Aires, ArgentinaWe present a review of photonic implementations of discrete-time quantum walks (DTQW) in the spatial and temporal domains, based on spatial- and time-multiplexing techniques, respectively. Additionally, we propose a detailed novel scheme for photonic DTQW, using transverse spatial modes of single photons and programmable spatial light modulators (SLM) to manipulate them. Unlike all previous mode-multiplexed implementations, this scheme enables simulation of an arbitrary step of the walker, only limited, in principle, by the SLM resolution. We discuss current applications of such photonic DTQW architectures in quantum simulation of topological effects and the use of non-local coin operations based on two-photon hybrid entanglement.http://www.mdpi.com/1099-4300/20/10/731quantum walksspatial-multiplexingtime-multiplexingspatial light modulators
collection DOAJ
language English
format Article
sources DOAJ
author Leonardo Neves
Graciana Puentes
spellingShingle Leonardo Neves
Graciana Puentes
Photonic Discrete-time Quantum Walks and Applications
Entropy
quantum walks
spatial-multiplexing
time-multiplexing
spatial light modulators
author_facet Leonardo Neves
Graciana Puentes
author_sort Leonardo Neves
title Photonic Discrete-time Quantum Walks and Applications
title_short Photonic Discrete-time Quantum Walks and Applications
title_full Photonic Discrete-time Quantum Walks and Applications
title_fullStr Photonic Discrete-time Quantum Walks and Applications
title_full_unstemmed Photonic Discrete-time Quantum Walks and Applications
title_sort photonic discrete-time quantum walks and applications
publisher MDPI AG
series Entropy
issn 1099-4300
publishDate 2018-09-01
description We present a review of photonic implementations of discrete-time quantum walks (DTQW) in the spatial and temporal domains, based on spatial- and time-multiplexing techniques, respectively. Additionally, we propose a detailed novel scheme for photonic DTQW, using transverse spatial modes of single photons and programmable spatial light modulators (SLM) to manipulate them. Unlike all previous mode-multiplexed implementations, this scheme enables simulation of an arbitrary step of the walker, only limited, in principle, by the SLM resolution. We discuss current applications of such photonic DTQW architectures in quantum simulation of topological effects and the use of non-local coin operations based on two-photon hybrid entanglement.
topic quantum walks
spatial-multiplexing
time-multiplexing
spatial light modulators
url http://www.mdpi.com/1099-4300/20/10/731
work_keys_str_mv AT leonardoneves photonicdiscretetimequantumwalksandapplications
AT gracianapuentes photonicdiscretetimequantumwalksandapplications
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