Advanced-Retarded Differential Equations in Quantum Photonic Systems

We propose the realization of photonic circuits whose dynamics is governed by advanced-retarded differential equations. Beyond their mathematical interest, these photonic configurations enable the implementation of quantum feedback and feedforward without requiring any intermediate measurement. We s...

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Autores principales: Alvarez-Rodriguez, Unai, Perez-Leija, Armando, Egusquiza, Iñigo L., Gräfe, Markus, Sanz, Mikel, Lamata, Lucas, Szameit, Alexander, Solano, Enrique
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group 2017
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5322327/
https://www.ncbi.nlm.nih.gov/pubmed/28230090
http://dx.doi.org/10.1038/srep42933
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author Alvarez-Rodriguez, Unai
Perez-Leija, Armando
Egusquiza, Iñigo L.
Gräfe, Markus
Sanz, Mikel
Lamata, Lucas
Szameit, Alexander
Solano, Enrique
author_facet Alvarez-Rodriguez, Unai
Perez-Leija, Armando
Egusquiza, Iñigo L.
Gräfe, Markus
Sanz, Mikel
Lamata, Lucas
Szameit, Alexander
Solano, Enrique
author_sort Alvarez-Rodriguez, Unai
collection PubMed
description We propose the realization of photonic circuits whose dynamics is governed by advanced-retarded differential equations. Beyond their mathematical interest, these photonic configurations enable the implementation of quantum feedback and feedforward without requiring any intermediate measurement. We show how this protocol can be applied to implement interesting delay effects in the quantum regime, as well as in the classical limit. Our results elucidate the potential of the protocol as a promising route towards integrated quantum control systems on a chip.
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spelling pubmed-53223272017-03-01 Advanced-Retarded Differential Equations in Quantum Photonic Systems Alvarez-Rodriguez, Unai Perez-Leija, Armando Egusquiza, Iñigo L. Gräfe, Markus Sanz, Mikel Lamata, Lucas Szameit, Alexander Solano, Enrique Sci Rep Article We propose the realization of photonic circuits whose dynamics is governed by advanced-retarded differential equations. Beyond their mathematical interest, these photonic configurations enable the implementation of quantum feedback and feedforward without requiring any intermediate measurement. We show how this protocol can be applied to implement interesting delay effects in the quantum regime, as well as in the classical limit. Our results elucidate the potential of the protocol as a promising route towards integrated quantum control systems on a chip. Nature Publishing Group 2017-02-23 /pmc/articles/PMC5322327/ /pubmed/28230090 http://dx.doi.org/10.1038/srep42933 Text en Copyright © 2017, The Author(s) http://creativecommons.org/licenses/by/4.0/ This work is licensed under a Creative Commons Attribution 4.0 International License. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in the credit line; if the material is not included under the Creative Commons license, users will need to obtain permission from the license holder to reproduce the material. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/
spellingShingle Article
Alvarez-Rodriguez, Unai
Perez-Leija, Armando
Egusquiza, Iñigo L.
Gräfe, Markus
Sanz, Mikel
Lamata, Lucas
Szameit, Alexander
Solano, Enrique
Advanced-Retarded Differential Equations in Quantum Photonic Systems
title Advanced-Retarded Differential Equations in Quantum Photonic Systems
title_full Advanced-Retarded Differential Equations in Quantum Photonic Systems
title_fullStr Advanced-Retarded Differential Equations in Quantum Photonic Systems
title_full_unstemmed Advanced-Retarded Differential Equations in Quantum Photonic Systems
title_short Advanced-Retarded Differential Equations in Quantum Photonic Systems
title_sort advanced-retarded differential equations in quantum photonic systems
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5322327/
https://www.ncbi.nlm.nih.gov/pubmed/28230090
http://dx.doi.org/10.1038/srep42933
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