Characterization of quantum states of light by means of homodyne detection and reconstruction of Wigner functions

In this work, a continuous variable quantum tomography is presented. This is done using two approaches, one using simulated data and another one using data from measurements performed in the laboratory. The Radon inverse transform, under the approximation of filtered back projection, alongside the d...

Full description

Autores:
Martínez Silva, Andrés
Tipo de recurso:
Trabajo de grado de pregrado
Fecha de publicación:
2020
Institución:
Universidad de los Andes
Repositorio:
Séneca: repositorio Uniandes
Idioma:
eng
OAI Identifier:
oai:repositorio.uniandes.edu.co:1992/49072
Acceso en línea:
http://hdl.handle.net/1992/49072
Palabra clave:
Teoría cuántica
Estadística cuántica
Transformadas Radon
Tomografía cuántica
Función de Wigner
Física
Rights
openAccess
License
http://creativecommons.org/licenses/by-nc-sa/4.0/
id UNIANDES2_9cb3976a44e499d9dfb5b780eda7d2fc
oai_identifier_str oai:repositorio.uniandes.edu.co:1992/49072
network_acronym_str UNIANDES2
network_name_str Séneca: repositorio Uniandes
repository_id_str
spelling Al consultar y hacer uso de este recurso, está aceptando las condiciones de uso establecidas por los autores.http://creativecommons.org/licenses/by-nc-sa/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Valencia González, Alejandra Catalinavirtual::17791-1Martínez Silva, Andrés04d5a7ea-2e6b-4fb8-8013-b1a9731ee9b5500Quiroga Puello, Luis2021-02-18T12:40:31Z2021-02-18T12:40:31Z2020http://hdl.handle.net/1992/49072u833781.pdfinstname:Universidad de los Andesreponame:Repositorio Institucional Sénecarepourl:https://repositorio.uniandes.edu.co/In this work, a continuous variable quantum tomography is presented. This is done using two approaches, one using simulated data and another one using data from measurements performed in the laboratory. The Radon inverse transform, under the approximation of filtered back projection, alongside the details on the implementa- tion of balanced homodyne detection needed to perform the tomography are clearly explained. Density matrices in the quadrature and number representation are also obtained from the Wigner function. Additionally, complete documentation of the computational implementation and a user-friendly interface for the tomography is reportedEn este trabajo, se presenta una tomografía cuántica en variables continuas. Esto se realiza utilizando dos enfoques, uno con datos simulados y otro con datos de mediciones realizadas en el laboratorio. La transformación inversa del radón, bajo la aproximación de retroproyección filtrada, junto con los detalles sobre la implementación de la detección homodina balanceada necesaria para realizar la tomografía se explican claramente. Las matrices densidad en representación de cuadraturas y Fock también se obtienen de la función Wigner. Además, la docu- mentación completa sobre la implementación computacional de la tomografía y una interfaz grafica fácil de usar son reportadasFísicoPregrado75 hojasapplication/pdfengUniversidad de los AndesFísicaFacultad de CienciasDepartamento de Físicainstname:Universidad de los Andesreponame:Repositorio Institucional SénecaCharacterization of quantum states of light by means of homodyne detection and reconstruction of Wigner functionsTrabajo de grado - Pregradoinfo:eu-repo/semantics/bachelorThesishttp://purl.org/coar/resource_type/c_7a1fhttp://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/TPTeoría cuánticaEstadística cuánticaTransformadas RadonTomografía cuánticaFunción de WignerFísicaPublicationhttps://scholar.google.es/citations?user=7Fa-MFYAAAAJvirtual::17791-10000-0002-7476-6119virtual::17791-1https://scienti.minciencias.gov.co/cvlac/visualizador/generarCurriculoCv.do?cod_rh=0001337192virtual::17791-1e676d910-c320-4862-b7d4-2d8cc27eea1bvirtual::17791-1e676d910-c320-4862-b7d4-2d8cc27eea1bvirtual::17791-1TEXTu833781.pdf.txtu833781.pdf.txtExtracted texttext/plain109543https://repositorio.uniandes.edu.co/bitstreams/23340d77-89cb-452f-b4ca-9a8410feb4db/download53d7725810b60f467564cd086949b9a0MD54THUMBNAILu833781.pdf.jpgu833781.pdf.jpgIM Thumbnailimage/jpeg7523https://repositorio.uniandes.edu.co/bitstreams/083f2fde-02f7-411a-b7bb-3d9a9699509a/download75cd5179c0a61c52bbe4985b2d086554MD55ORIGINALu833781.pdfapplication/pdf22051656https://repositorio.uniandes.edu.co/bitstreams/0f4addc8-b9a9-4674-b1cc-d7fcd83b0581/download586585f1f729778a5a104e4d8a0240ccMD511992/49072oai:repositorio.uniandes.edu.co:1992/490722024-03-13 16:06:57.554http://creativecommons.org/licenses/by-nc-sa/4.0/open.accesshttps://repositorio.uniandes.edu.coRepositorio institucional Sénecaadminrepositorio@uniandes.edu.co
dc.title.es_CO.fl_str_mv Characterization of quantum states of light by means of homodyne detection and reconstruction of Wigner functions
title Characterization of quantum states of light by means of homodyne detection and reconstruction of Wigner functions
spellingShingle Characterization of quantum states of light by means of homodyne detection and reconstruction of Wigner functions
Teoría cuántica
Estadística cuántica
Transformadas Radon
Tomografía cuántica
Función de Wigner
Física
title_short Characterization of quantum states of light by means of homodyne detection and reconstruction of Wigner functions
title_full Characterization of quantum states of light by means of homodyne detection and reconstruction of Wigner functions
title_fullStr Characterization of quantum states of light by means of homodyne detection and reconstruction of Wigner functions
title_full_unstemmed Characterization of quantum states of light by means of homodyne detection and reconstruction of Wigner functions
title_sort Characterization of quantum states of light by means of homodyne detection and reconstruction of Wigner functions
dc.creator.fl_str_mv Martínez Silva, Andrés
dc.contributor.advisor.none.fl_str_mv Valencia González, Alejandra Catalina
dc.contributor.author.none.fl_str_mv Martínez Silva, Andrés
dc.contributor.jury.none.fl_str_mv Quiroga Puello, Luis
dc.subject.armarc.es_CO.fl_str_mv Teoría cuántica
Estadística cuántica
Transformadas Radon
Tomografía cuántica
Función de Wigner
topic Teoría cuántica
Estadística cuántica
Transformadas Radon
Tomografía cuántica
Función de Wigner
Física
dc.subject.themes.none.fl_str_mv Física
description In this work, a continuous variable quantum tomography is presented. This is done using two approaches, one using simulated data and another one using data from measurements performed in the laboratory. The Radon inverse transform, under the approximation of filtered back projection, alongside the details on the implementa- tion of balanced homodyne detection needed to perform the tomography are clearly explained. Density matrices in the quadrature and number representation are also obtained from the Wigner function. Additionally, complete documentation of the computational implementation and a user-friendly interface for the tomography is reported
publishDate 2020
dc.date.issued.none.fl_str_mv 2020
dc.date.accessioned.none.fl_str_mv 2021-02-18T12:40:31Z
dc.date.available.none.fl_str_mv 2021-02-18T12:40:31Z
dc.type.spa.fl_str_mv Trabajo de grado - Pregrado
dc.type.coarversion.fl_str_mv http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.driver.spa.fl_str_mv info:eu-repo/semantics/bachelorThesis
dc.type.coar.spa.fl_str_mv http://purl.org/coar/resource_type/c_7a1f
dc.type.content.spa.fl_str_mv Text
dc.type.redcol.spa.fl_str_mv http://purl.org/redcol/resource_type/TP
format http://purl.org/coar/resource_type/c_7a1f
dc.identifier.uri.none.fl_str_mv http://hdl.handle.net/1992/49072
dc.identifier.pdf.none.fl_str_mv u833781.pdf
dc.identifier.instname.spa.fl_str_mv instname:Universidad de los Andes
dc.identifier.reponame.spa.fl_str_mv reponame:Repositorio Institucional Séneca
dc.identifier.repourl.spa.fl_str_mv repourl:https://repositorio.uniandes.edu.co/
url http://hdl.handle.net/1992/49072
identifier_str_mv u833781.pdf
instname:Universidad de los Andes
reponame:Repositorio Institucional Séneca
repourl:https://repositorio.uniandes.edu.co/
dc.language.iso.es_CO.fl_str_mv eng
language eng
dc.rights.uri.*.fl_str_mv http://creativecommons.org/licenses/by-nc-sa/4.0/
dc.rights.accessrights.spa.fl_str_mv info:eu-repo/semantics/openAccess
dc.rights.coar.spa.fl_str_mv http://purl.org/coar/access_right/c_abf2
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-sa/4.0/
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.extent.es_CO.fl_str_mv 75 hojas
dc.format.mimetype.es_CO.fl_str_mv application/pdf
dc.publisher.es_CO.fl_str_mv Universidad de los Andes
dc.publisher.program.es_CO.fl_str_mv Física
dc.publisher.faculty.es_CO.fl_str_mv Facultad de Ciencias
dc.publisher.department.es_CO.fl_str_mv Departamento de Física
dc.source.es_CO.fl_str_mv instname:Universidad de los Andes
reponame:Repositorio Institucional Séneca
instname_str Universidad de los Andes
institution Universidad de los Andes
reponame_str Repositorio Institucional Séneca
collection Repositorio Institucional Séneca
bitstream.url.fl_str_mv https://repositorio.uniandes.edu.co/bitstreams/23340d77-89cb-452f-b4ca-9a8410feb4db/download
https://repositorio.uniandes.edu.co/bitstreams/083f2fde-02f7-411a-b7bb-3d9a9699509a/download
https://repositorio.uniandes.edu.co/bitstreams/0f4addc8-b9a9-4674-b1cc-d7fcd83b0581/download
bitstream.checksum.fl_str_mv 53d7725810b60f467564cd086949b9a0
75cd5179c0a61c52bbe4985b2d086554
586585f1f729778a5a104e4d8a0240cc
bitstream.checksumAlgorithm.fl_str_mv MD5
MD5
MD5
repository.name.fl_str_mv Repositorio institucional Séneca
repository.mail.fl_str_mv adminrepositorio@uniandes.edu.co
_version_ 1812134082904064000