Arbitrary linear transformations for photons in the frequency synthetic dimension

Arbitrary linear transformations are of crucial importance in a plethora of photonic applications spanning classical signal processing, communication systems, quantum information processing and machine learning. Here, we present a photonic architecture to achieve arbitrary linear transformations by...

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Autores principales: Buddhiraju, Siddharth, Dutt, Avik, Minkov, Momchil, Williamson, Ian A. D., Fan, Shanhui
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2021
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8065043/
https://www.ncbi.nlm.nih.gov/pubmed/33893284
http://dx.doi.org/10.1038/s41467-021-22670-7
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author Buddhiraju, Siddharth
Dutt, Avik
Minkov, Momchil
Williamson, Ian A. D.
Fan, Shanhui
author_facet Buddhiraju, Siddharth
Dutt, Avik
Minkov, Momchil
Williamson, Ian A. D.
Fan, Shanhui
author_sort Buddhiraju, Siddharth
collection PubMed
description Arbitrary linear transformations are of crucial importance in a plethora of photonic applications spanning classical signal processing, communication systems, quantum information processing and machine learning. Here, we present a photonic architecture to achieve arbitrary linear transformations by harnessing the synthetic frequency dimension of photons. Our structure consists of dynamically modulated micro-ring resonators that implement tunable couplings between multiple frequency modes carried by a single waveguide. By inverse design of these short- and long-range couplings using automatic differentiation, we realize arbitrary scattering matrices in synthetic space between the input and output frequency modes with near-unity fidelity and favorable scaling. We show that the same physical structure can be reconfigured to implement a wide variety of manipulations including single-frequency conversion, nonreciprocal frequency translations, and unitary as well as non-unitary transformations. Our approach enables compact, scalable and reconfigurable integrated photonic architectures to achieve arbitrary linear transformations in both the classical and quantum domains using current state-of-the-art technology.
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spelling pubmed-80650432021-05-11 Arbitrary linear transformations for photons in the frequency synthetic dimension Buddhiraju, Siddharth Dutt, Avik Minkov, Momchil Williamson, Ian A. D. Fan, Shanhui Nat Commun Article Arbitrary linear transformations are of crucial importance in a plethora of photonic applications spanning classical signal processing, communication systems, quantum information processing and machine learning. Here, we present a photonic architecture to achieve arbitrary linear transformations by harnessing the synthetic frequency dimension of photons. Our structure consists of dynamically modulated micro-ring resonators that implement tunable couplings between multiple frequency modes carried by a single waveguide. By inverse design of these short- and long-range couplings using automatic differentiation, we realize arbitrary scattering matrices in synthetic space between the input and output frequency modes with near-unity fidelity and favorable scaling. We show that the same physical structure can be reconfigured to implement a wide variety of manipulations including single-frequency conversion, nonreciprocal frequency translations, and unitary as well as non-unitary transformations. Our approach enables compact, scalable and reconfigurable integrated photonic architectures to achieve arbitrary linear transformations in both the classical and quantum domains using current state-of-the-art technology. Nature Publishing Group UK 2021-04-23 /pmc/articles/PMC8065043/ /pubmed/33893284 http://dx.doi.org/10.1038/s41467-021-22670-7 Text en © The Author(s) 2021 https://creativecommons.org/licenses/by/4.0/Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Buddhiraju, Siddharth
Dutt, Avik
Minkov, Momchil
Williamson, Ian A. D.
Fan, Shanhui
Arbitrary linear transformations for photons in the frequency synthetic dimension
title Arbitrary linear transformations for photons in the frequency synthetic dimension
title_full Arbitrary linear transformations for photons in the frequency synthetic dimension
title_fullStr Arbitrary linear transformations for photons in the frequency synthetic dimension
title_full_unstemmed Arbitrary linear transformations for photons in the frequency synthetic dimension
title_short Arbitrary linear transformations for photons in the frequency synthetic dimension
title_sort arbitrary linear transformations for photons in the frequency synthetic dimension
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8065043/
https://www.ncbi.nlm.nih.gov/pubmed/33893284
http://dx.doi.org/10.1038/s41467-021-22670-7
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