Generalized approach to quantum interference in lossy N-port devices via a singular value decomposition

Modeling quantum interference in the presence of dissipation is a critical aspect of quantum technologies. Including dissipation into the model of a linear device enables for assessing the detrimental impact of photon loss, as well as for studying dissipation-driven quantum state transformations. Ho...

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Detalles Bibliográficos
Autores: Hernández Martínez, Osmery, Liberal Olleta, Íñigo
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2022
País:España
Institución:Universidad Pública de Navarra
Repositorio:Academica-e. Repositorio Institucional de la Universidad Pública de Navarra
OAI Identifier:oai:academica-e.unavarra.es:2454/44529
Acceso en línea:https://hdl.handle.net/2454/44529
Access Level:acceso abierto
Palabra clave:Quantun interference
Lossy N-port devices
Singular value decomposition (SVD)
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spelling Generalized approach to quantum interference in lossy N-port devices via a singular value decompositionHernández Martínez, OsmeryLiberal Olleta, ÍñigoQuantun interferenceLossy N-port devicesSingular value decomposition (SVD)Modeling quantum interference in the presence of dissipation is a critical aspect of quantum technologies. Including dissipation into the model of a linear device enables for assessing the detrimental impact of photon loss, as well as for studying dissipation-driven quantum state transformations. However, establishing the input-output relations characterizing quantum interference at a general lossy N-port network poses important theoretical challenges. Here, we propose a general procedure based on the singular value decomposition (SVD), which allows for the efficient calculation of the input-output relations for any arbitrary lossy linear device. In addition, we show how the SVD provides an intuitive description of the principle of operation of linear optical devices. We illustrate the applicability of our method by evaluating the input-output relations of popular reciprocal and nonreciprocal lossy linear devices, including devices with singular and nilpotent scattering matrices. Our method also enables the analysis of quantum interference in large lossy networks, as we exemplify with the study of an N-port epsilon-near-zero (ENZ) hub. We expect that our procedure will motivate future research on quantum interference in complex devices, as well as the realistic modelling of photon loss in linear lossy devices.H2020 European Research Council (ERC Starting Grant 948504); Ministerio de Ciencia, Innovación y Universidades (MCIU) (RTI2018-093714-301J-I00, RYC2018-024123-I).Optica Publishing GroupIngeniaritza Elektrikoa, Elektronikoaren eta Telekomunikazio IngeniaritzarenInstitute of Smart Cities - ISCIngeniería Eléctrica, Electrónica y de Comunicación2022info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://hdl.handle.net/2454/44529reponame:Academica-e. Repositorio Institucional de la Universidad Pública de Navarrainstname:Universidad Pública de NavarraInglésinfo:eu-repo/grantAgreement/European Commission/Horizon 2020 Framework Programme/948504info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/RTI2018-093714-J-I00© 2022 Optica Publishing Group. Users may use, reuse, and build upon the article, or use the article for text or data mining, so long as such uses are for non-commercial purposes and appropriate attribution is maintained. All other rights are reserved.info:eu-repo/semantics/openAccessoai:academica-e.unavarra.es:2454/445292026-06-17T12:41:47Z
dc.title.none.fl_str_mv Generalized approach to quantum interference in lossy N-port devices via a singular value decomposition
title Generalized approach to quantum interference in lossy N-port devices via a singular value decomposition
spellingShingle Generalized approach to quantum interference in lossy N-port devices via a singular value decomposition
Hernández Martínez, Osmery
Quantun interference
Lossy N-port devices
Singular value decomposition (SVD)
title_short Generalized approach to quantum interference in lossy N-port devices via a singular value decomposition
title_full Generalized approach to quantum interference in lossy N-port devices via a singular value decomposition
title_fullStr Generalized approach to quantum interference in lossy N-port devices via a singular value decomposition
title_full_unstemmed Generalized approach to quantum interference in lossy N-port devices via a singular value decomposition
title_sort Generalized approach to quantum interference in lossy N-port devices via a singular value decomposition
dc.creator.none.fl_str_mv Hernández Martínez, Osmery
Liberal Olleta, Íñigo
author Hernández Martínez, Osmery
author_facet Hernández Martínez, Osmery
Liberal Olleta, Íñigo
author_role author
author2 Liberal Olleta, Íñigo
author2_role author
dc.contributor.none.fl_str_mv Ingeniaritza Elektrikoa, Elektronikoaren eta Telekomunikazio Ingeniaritzaren
Institute of Smart Cities - ISC
Ingeniería Eléctrica, Electrónica y de Comunicación
dc.subject.none.fl_str_mv Quantun interference
Lossy N-port devices
Singular value decomposition (SVD)
topic Quantun interference
Lossy N-port devices
Singular value decomposition (SVD)
description Modeling quantum interference in the presence of dissipation is a critical aspect of quantum technologies. Including dissipation into the model of a linear device enables for assessing the detrimental impact of photon loss, as well as for studying dissipation-driven quantum state transformations. However, establishing the input-output relations characterizing quantum interference at a general lossy N-port network poses important theoretical challenges. Here, we propose a general procedure based on the singular value decomposition (SVD), which allows for the efficient calculation of the input-output relations for any arbitrary lossy linear device. In addition, we show how the SVD provides an intuitive description of the principle of operation of linear optical devices. We illustrate the applicability of our method by evaluating the input-output relations of popular reciprocal and nonreciprocal lossy linear devices, including devices with singular and nilpotent scattering matrices. Our method also enables the analysis of quantum interference in large lossy networks, as we exemplify with the study of an N-port epsilon-near-zero (ENZ) hub. We expect that our procedure will motivate future research on quantum interference in complex devices, as well as the realistic modelling of photon loss in linear lossy devices.
publishDate 2022
dc.date.none.fl_str_mv 2022
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/2454/44529
url https://hdl.handle.net/2454/44529
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv info:eu-repo/grantAgreement/European Commission/Horizon 2020 Framework Programme/948504
info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/RTI2018-093714-J-I00
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Optica Publishing Group
publisher.none.fl_str_mv Optica Publishing Group
dc.source.none.fl_str_mv reponame:Academica-e. Repositorio Institucional de la Universidad Pública de Navarra
instname:Universidad Pública de Navarra
instname_str Universidad Pública de Navarra
reponame_str Academica-e. Repositorio Institucional de la Universidad Pública de Navarra
collection Academica-e. Repositorio Institucional de la Universidad Pública de Navarra
repository.name.fl_str_mv
repository.mail.fl_str_mv
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