Procesamiento de información cuántica mediante la utilización de variables continuas de la luz

ilustraciones, diagramas, tablas

Autores:: Tenorio Albañil, Johnny Alberto

Tipo de recurso:

Fecha de publicación:: 2020

Institución:: Universidad Nacional de Colombia

Repositorio:: Universidad Nacional de Colombia

Idioma:: spa

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dc.title.spa.fl_str_mv	Procesamiento de información cuántica mediante la utilización de variables continuas de la luz
dc.title.translated.none.fl_str_mv	Quantum information processing through the use of continuous variables of light
title	Procesamiento de información cuántica mediante la utilización de variables continuas de la luz
spellingShingle	Procesamiento de información cuántica mediante la utilización de variables continuas de la luz 620 - Ingeniería y operaciones afines::621 - Física aplicada Laser Pseudothermal Light Coherence Correlation Function Quantum Information Homodyne Detection Ghost Imaging Láser Luz pseudotérmica Coherencia Función de correlación Información Cuántica Detección Homodina Rayo láser Luz
title_short	Procesamiento de información cuántica mediante la utilización de variables continuas de la luz
title_full	Procesamiento de información cuántica mediante la utilización de variables continuas de la luz
title_fullStr	Procesamiento de información cuántica mediante la utilización de variables continuas de la luz
title_full_unstemmed	Procesamiento de información cuántica mediante la utilización de variables continuas de la luz
title_sort	Procesamiento de información cuántica mediante la utilización de variables continuas de la luz
dc.creator.fl_str_mv	Tenorio Albañil, Johnny Alberto
dc.contributor.advisor.none.fl_str_mv	Vargas Chaparro, Edgar Miguel Nuñez Portela, Mayerlin
dc.contributor.author.none.fl_str_mv	Tenorio Albañil, Johnny Alberto
dc.contributor.subjectmatterexpert.none.fl_str_mv	Valencia Gonzalez, Alejandra Catalina
dc.subject.ddc.spa.fl_str_mv	620 - Ingeniería y operaciones afines::621 - Física aplicada
topic	620 - Ingeniería y operaciones afines::621 - Física aplicada Laser Pseudothermal Light Coherence Correlation Function Quantum Information Homodyne Detection Ghost Imaging Láser Luz pseudotérmica Coherencia Función de correlación Información Cuántica Detección Homodina Rayo láser Luz
dc.subject.proposal.eng.fl_str_mv	Laser Pseudothermal Light Coherence Correlation Function Quantum Information Homodyne Detection Ghost Imaging
dc.subject.proposal.spa.fl_str_mv	Láser Luz pseudotérmica Coherencia Función de correlación Información Cuántica Detección Homodina
dc.subject.unesco.none.fl_str_mv	Rayo láser Luz
description	ilustraciones, diagramas, tablas
publishDate	2020
dc.date.issued.none.fl_str_mv	2020
dc.date.accessioned.none.fl_str_mv	2021-04-09T15:11:11Z
dc.date.available.none.fl_str_mv	2021-04-09T15:11:11Z
dc.type.spa.fl_str_mv	Trabajo de grado - Maestría
dc.type.driver.spa.fl_str_mv	info:eu-repo/semantics/masterThesis
dc.type.version.spa.fl_str_mv	info:eu-repo/semantics/acceptedVersion
dc.type.content.spa.fl_str_mv	Text
dc.type.redcol.spa.fl_str_mv	http://purl.org/redcol/resource_type/TM
status_str	acceptedVersion
dc.identifier.uri.none.fl_str_mv	https://repositorio.unal.edu.co/handle/unal/79392
dc.identifier.instname.spa.fl_str_mv	Universidad Nacional de Colombia
dc.identifier.reponame.spa.fl_str_mv	Repositorio Institucional UN
dc.identifier.repourl.spa.fl_str_mv	https://repositorio.unal.edu.co/
url	https://repositorio.unal.edu.co/handle/unal/79392 https://repositorio.unal.edu.co/
identifier_str_mv	Universidad Nacional de Colombia Repositorio Institucional UN
dc.language.iso.spa.fl_str_mv	spa
language	spa
dc.relation.references.spa.fl_str_mv	[1] I. L. C. Michael A. Nielsen, Quantum Computation and Quantum Information. Cambridge University Press, 2010. [2] Y. Shih, "The physics of ghost imaging," in Advances in Lasers and Electro Optics, InTech, 2010. [3] T. Spiller, Quantum information processing: cryptography, computation, and teleportation," Proceedings of the IEEE, vol. 84, no. 12, pp. 1719-1746, 1996. [4] R. H. Brown and R. Q. Twiss, "Correlation between photons in two coherent beams of light," Nature, vol. 177, no. 4497, pp. 0027-29, 1956. [5] G. Scarcelli, V. Berardi, and Y. Shih, "Can two-photon correlation of chaotic light be considered as correlation of intensity fluctuations?," Physical Review Letters, vol. 96, no. 6, p. 063602, 2006. [6] E. M. Purcell, "The question of correlation between photons in coherent light rays," Nature, vol. 178, no. 4548, pp. 1449-1450, 1956. [7] R. H. Brown and D. Scarl, "The intensity interferometer, its application to astronomy," Physics Today, vol. 28, no. 9, pp. 54-55, 1975. [8] Y. Shih, "Quantum imaging," IEEE Journal of Selected Topics in Quantum Electronics, vol. 13, no. 4, pp. 1016-1030, 2007. [9] R. Meyers, K. S. Deacon, and Y. Shih, "Ghost-imaging experiment by measuring re- ected photons," Physical Review A, vol. 77, no. 4, p. 041801, 2008. [10] R. E. Meyers, K. S. Deacon, and Y. Shih, "Turbulence-free ghost imaging," Applied Physics Letters, vol. 98, no. 11, p. 111115, 2011. [11] T. Zhong, H. Zhou, R. D. Horansky, C. Lee, V. B. Verma, A. E. Lita, A. Restelli, J. C. Bienfang, R. P. Mirin, T. Gerrits, S. W. Nam, F. Marsili, M. D. Shaw, Z. Zhang, L. Wang, D. Englund, G. W. Wornell, J. H. Shapiro, and F. N. C. Wong, "Photon-e cient quantum key distribution using time-energy entanglement with highdimensional encoding," New Journal of Physics, vol. 17, no. 2, p. 022002, 2015. [12] J. Yang, X.-H. Bao, H. Zhang, S. Chen, C.-Z. Peng, Z.-B. Chen, and J.-W. Pan, "Experimental quantum teleportation and multiphoton entanglement via interfering narrowband photon sources," Physical Review A, vol. 80, no. 4, p. 042321, 2009. [13] P. S. Michelberger, T. F. M. Champion, M. R. Sprague, K. T. Kaczmarek, M. Barbieri, X. M. Jin, D. G. England, W. S. Kolthammer, D. J. Saunders, J. Nunn, and I. A. Walmsley, "Interfacing GHz-bandwidth heralded single photons with a warm vapour raman memory," New Journal of Physics, vol. 17, no. 4, p. 043006, 2015. [14] G. M. A.Valencia, "La luz: color y mucho m as," Hipótesis, no. 18, pp. 23-31, 2015. [15] A. Lipson, S. G. Lipson, and H. Lipson, Optical Physics. Cambridge University Press, 2009. [16] B. D. Guenther, Modern Optics. Oxford University Press, 2015. [17] E. Hecht, Optics. Boston: Pearson Education, Inc, 2017. [18] R. J. Glauber, "Nobel lecture: One hundred years of light quanta," Reviews of Modern Physics, vol. 78, no. 4, pp. 1267-1278, 2006. [19] M. Fox, Quantum Optics An Introduccion. Oxford University Press, 2006. [20] F. T. Arecchi, "Measurement of the statistical distribution of gaussian and laser sources," Physical Review Letters, vol. 15, no. 24, pp. 912-916, 1965. [21] L. E. Estes, L. M. Narducci, and R. A. Tuft, "Scattering of light from a rotating ground glass," Journal of the Optical Society of America, vol. 61, no. 10, p. 1301, 1971. [22] W. Martienssen and E. Spiller, "Coherence and uctuations in light beams," American Journal of Physics, vol. 32, no. 12, pp. 919-926, 1964. [23] A. Gatti, D. Magatti, and F. Ferri, "Three-dimensional coherence of light speckles: Theory," Physical Review A, vol. 78, no. 6, p. 063806, 2008. [24] T. A. Kuusela, "Measurement of the second-order coherence of pseudothermal light," American Journal of Physics, vol. 85, no. 4, pp. 289-294, 2017. [25] P. K. C. Gerry, Introductory Quantum Optics. Cambridge University Press, 2005. [26] P. W. P. Koczyk and C. Radzewicz, "Photon counting statistics\|undergraduate experiment," American Journal of Physics, vol. 64, no. 3, pp. 240-245, 1996. [27] H.-A. Bachor and T. C. Ralph, A Guide to Experiments in Quantum Optics. Wiley, 2019. [28] A. Zavatta, M. Bellini, P. L. Ramazza, F. Marin, and F. T. Arecchi, "Time-domain analysis of quantum states of light: noise characterization and homodyne tomography," Journal of the Optical Society of America B, vol. 19, no. 5, p. 1189, 2002. [29] G. Breitenbach, S. Schiller, and J. Mlynek, "Measurement of the quantum states of squeezed light," Nature, vol. 387, no. 6632, pp. 471-475, 1997. [30] D. T. Smithey, M. Beck, M. G. Raymer, and A. Faridani, "Measurement of the wigner distribution and the density matrix of a light mode using optical homodyne tomography: Application to squeezed states and the vacuum," Physical Review Letters, vol. 70, no. 9, pp. 1244-1247, 1993. [31] I. Khan, D. Elser, T. Dirmeier, C. Marquardt, and G. Leuchs, "Quantum communication with coherent states of light," Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol. 375, no. 2099, p. 20160235, 2017. [32] T. Jennewein and B. Higgins, "The quantum space race," Physics World, vol. 26, no. 03, pp. 52-56, 2013. [33] F. Laudenbach, C. Pacher, C.-H. F. Fung, A. Poppe, M. Peev, B. Schrenk, M. Hentschel, P.Walther, and H. Hübel, "Continuous-variable quantum key distribution with gaussian modulation-the theory of practical implementations," Advanced Quantum Technologies, vol. 1, no. 1, p. 1800011, 2018. [34] R. Bedington, J. M. Arrazola, and A. Ling, "Progress in satellite quantum key distribution," Nature Partner Journals Quantum Information, vol. 3, no. 1, p. 30, 2017. [35] M. Beck, "Comparing measurements of g^(2)(0) performed with di erent coincidence detection techniques," Journal of the Optical Society of America B, vol. 24, no. 12, p. 2972, 2007. [36] Y. Shih, An Introduction to Quantum Optics Photon and Biphoton Physics. CRC Press, 2011. [37] D. Branning, S. Bhandari, and M. Beck, "Low-cost coincidence-counting electronics for undergraduate quantum optics," American Journal of Physics, vol. 77, no. 7, pp. 667-670, 2009. [38] R. Joost and R. Salomon, "CDL, a precise, low-cost coincidence detector latch," Electronics, vol. 4, no. 4, pp. 1018-1032, 2015. [39] B. K. Park, Y.-S. Kim, O. Kwon, S.-W. Han, and S. Moon, "High-performance reconfigurable coincidence counting unit based on a field programmable gate array," Applied Optics, vol. 54, no. 15, p. 4727, 2015. [40] B. J. Pearson and D. P. Jackson, "A hands-on introduction to single photons and quantum mechanics for undergraduates," American Journal of Physics, vol. 78, no. 5, pp. 471-484, 2010. [41] C.-H. Huang, Y.-H. Wen, and Y.-W. Liu, "Measuring the second order correlation function and the coherence time using random phase modulation," Optics Express, vol. 24, no. 4, p. 4278, 2016. [42] G. Scarcelli, A. Valencia, and Y. Shih, "Experimental study of the momentum correlation of a pseudothermal field in the photon-counting regime," Physical Review A, vol. 70, no. 5, p. 051802, 2004. [43] B. Bai, Y. Zhou, R. Liu, H. Zheng, Y. Wang, F. Li, and Z. Xu, "Hanbury brown-twiss efect without two-photon interference in photon counting regime," Scientific Reports, vol. 7, no. 1, p. 2145, 2017. [44] R. S. Bennink, S. J. Bentley, R. W. Boyd, and J. C. Howell, "Quantum and classical coincidence imaging," Physical Review Letters, vol. 92, no. 3, p. 033601, 2004. [45] A. Gatti, E. Brambilla, M. Bache, and L. A. Lugiato, "Ghost imaging with thermal light: Comparing entanglement and ClassicalCorrelation," Physical Review Letters, vol. 93, no. 9, p. 093602, 2004. [46] A. Gatti, E. Brambilla, M. Bache, and L. A. Lugiato, "Correlated imaging, quantum and classical," Physical Review A, vol. 70, no. 1, p. 013802, 2004. [47] A. Valencia, G. Scarcelli, M. DAngelo, and Y. Shih, "Two-photon imaging with thermal light," Physical Review Letters, vol. 94, no. 6, p. 063601, 2005. [48] F. Ferri, D. Magatti, A. Gatti, M. Bache, E. Brambilla, and L. A. Lugiato, "Highresolution ghost image and ghost diffraction experiments with thermal light," Physical Review Letters, vol. 94, no. 18, p. 183602, 2005. [49] F. Ferri, D. Magatti, L. A. Lugiato, and A. Gatti, "Differential ghost imaging," Physical Review Letters, vol. 104, no. 25, p. 253603, 2010. [50] Y. Cai and S.-Y. Zhu, "Ghost interference with partially coherent radiation," Optics Letters, vol. 29, no. 23, p. 2716, 2004. [51] Y. Cai and S.-Y. Zhu, "Ghost imaging with incoherent and partially coherent light radiation," Physical Review E, vol. 71, no. 5, p. 056607, 2005. [52] M. DAngelo, A. Valencia, M. H. Rubin, and Y. Shih, "Resolution of quantum and classical ghost imaging," Physical Review A, vol. 72, no. 1, p. 013810, 2005. [53] M. Bache, D. Magatti, F. Ferri, A. Gatti, E. Brambilla, and L. A. 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Han, "Three-dimensional ghost imaging lidar via sparsity constraint," Scientific Reports, vol. 6, no. 1, p. 26133, 2016. [59] P. Clemente, V. Durán, V. Torres-Company, E. Tajahuerce, and J. Lancis, "Optical encryption based on computational ghost imaging," Optics Letters, vol. 35, no. 14, p. 2391, 2010. [60] S. Li, X.-R. Yao, W.-K. Yu, L.-A. Wu, and G.-J. Zhai, "High-speed secure key distribution over an optical network based on computational correlation imaging," Optics Letters, vol. 38, no. 12, p. 2144, 2013. [61] G. A. Howland and J. Howell, "Compressive sensing for imaging spatial entanglement," SPIE Newsroom, 2013. [62] D. Liu, L. Li, H. Chen, Y. Kang, T. Zhang, W. Zhao, W. Dong, and K. Shi, "Complementary normalized compressive ghost imaging with entangled photons," IEEE Photonics Journal, vol. 10, no. 2, pp. 1-7, 2018. [63] Y. He, G. Wang, G. Dong, S. Zhu, H. Chen, A. Zhang, and Z. Xu, "Ghost imaging based on deep learning," Scientific Reports, vol. 8, no. 1, p. 6469, 2018.
dc.rights.coar.fl_str_mv	http://purl.org/coar/access_right/c_abf2
dc.rights.license.spa.fl_str_mv	Atribución-NoComercial-SinDerivadas 4.0 Internacional
dc.rights.uri.spa.fl_str_mv	http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.rights.accessrights.spa.fl_str_mv	info:eu-repo/semantics/openAccess
rights_invalid_str_mv	Atribución-NoComercial-SinDerivadas 4.0 Internacional http://creativecommons.org/licenses/by-nc-nd/4.0/ http://purl.org/coar/access_right/c_abf2
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dc.format.extent.spa.fl_str_mv	1 recurso en linea (76 paginas)
dc.format.mimetype.spa.fl_str_mv	application/pdf
dc.publisher.spa.fl_str_mv	Universidad Nacional de Colombia
dc.publisher.program.spa.fl_str_mv	Bogotá - Ingeniería - Maestría en Ingeniería - Telecomunicaciones
dc.publisher.department.spa.fl_str_mv	Departamento de Ingeniería de Sistemas e Industrial
dc.publisher.faculty.spa.fl_str_mv	Facultad de Ingeniería
dc.publisher.place.spa.fl_str_mv	Bogotá
dc.publisher.branch.spa.fl_str_mv	Universidad Nacional de Colombia - Sede Bogotá
institution	Universidad Nacional de Colombia
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spelling	Atribución-NoComercial-SinDerivadas 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Vargas Chaparro, Edgar Miguel5059caaded4ef43de9051959bb48a122Nuñez Portela, Mayerlin05e7739df9a186646617db73f76dc2b6Tenorio Albañil, Johnny Albertoca976476fb71b34d356046e239f39eb7Valencia Gonzalez, Alejandra Catalina2021-04-09T15:11:11Z2021-04-09T15:11:11Z2020https://repositorio.unal.edu.co/handle/unal/79392Universidad Nacional de ColombiaRepositorio Institucional UNhttps://repositorio.unal.edu.co/ilustraciones, diagramas, tablasEn este trabajo se presenta una forma de transmitir información haciendo uso de las variables continuas de la luz. Se estudiaron las propiedades de coherencia de dos tipos de fuentes de luz, luz láser y luz pseudotérmica. Se midió, para cada fuente de luz, el grado de coherencia de segundo orden en las variables espaciales y temporales. A partir de las medidas de la función de correlación espacial de segundo orden de una fuente de luz pseudotérmica, g(2)(x1-x2), se caracterizó la longitud transversal de coherencia. Utilizando la propiedad de coherencia de este tipo de fuente de luz se implementó un experimento de imagen fantasma o Ghost Imaging en el que se puede recuperar la información del per fil espacial de un objeto a partir de la medida de correlación.This document presents a way to transmit information using the continuous variables of light. The coherence properties of two types of light sources, laser light and pseudo-thermal light, were studied. The degree of coherence in the spatial and temporal variables of the light was measured for each light source. From the measurements of the second-order spatial correlation function for a pseudo-thermal light source, g(2) (x1-x2), the coherence transverse length was characterized. Using the coherence property of this kind of light source, a Ghost Imaging experiment was implemented in which the spatial pro le information of an object can be retrieved from the correlation measure.MaestríaSeñales e Información1 recurso en linea (76 paginas)application/pdfspaUniversidad Nacional de ColombiaBogotá - Ingeniería - Maestría en Ingeniería - TelecomunicacionesDepartamento de Ingeniería de Sistemas e IndustrialFacultad de IngenieríaBogotáUniversidad Nacional de Colombia - Sede Bogotá620 - Ingeniería y operaciones afines::621 - Física aplicadaLaserPseudothermal LightCoherenceCorrelation FunctionQuantum InformationHomodyne DetectionGhost ImagingLáserLuz pseudotérmicaCoherenciaFunción de correlaciónInformación CuánticaDetección HomodinaRayo láserLuzProcesamiento de información cuántica mediante la utilización de variables continuas de la luzQuantum information processing through the use of continuous variables of lightTrabajo de grado - Maestríainfo:eu-repo/semantics/masterThesisinfo:eu-repo/semantics/acceptedVersionTexthttp://purl.org/redcol/resource_type/TM[1] I. L. C. Michael A. Nielsen, Quantum Computation and Quantum Information. Cambridge University Press, 2010.[2] Y. Shih, "The physics of ghost imaging," in Advances in Lasers and Electro Optics, InTech, 2010.[3] T. Spiller, Quantum information processing: cryptography, computation, and teleportation," Proceedings of the IEEE, vol. 84, no. 12, pp. 1719-1746, 1996.[4] R. H. Brown and R. Q. Twiss, "Correlation between photons in two coherent beams of light," Nature, vol. 177, no. 4497, pp. 0027-29, 1956.[5] G. Scarcelli, V. Berardi, and Y. Shih, "Can two-photon correlation of chaotic light be considered as correlation of intensity fluctuations?," Physical Review Letters, vol. 96, no. 6, p. 063602, 2006.[6] E. M. Purcell, "The question of correlation between photons in coherent light rays," Nature, vol. 178, no. 4548, pp. 1449-1450, 1956.[7] R. H. Brown and D. Scarl, "The intensity interferometer, its application to astronomy," Physics Today, vol. 28, no. 9, pp. 54-55, 1975.[8] Y. Shih, "Quantum imaging," IEEE Journal of Selected Topics in Quantum Electronics, vol. 13, no. 4, pp. 1016-1030, 2007.[9] R. Meyers, K. S. Deacon, and Y. Shih, "Ghost-imaging experiment by measuring re- ected photons," Physical Review A, vol. 77, no. 4, p. 041801, 2008.[10] R. E. Meyers, K. S. Deacon, and Y. Shih, "Turbulence-free ghost imaging," Applied Physics Letters, vol. 98, no. 11, p. 111115, 2011.[11] T. Zhong, H. Zhou, R. D. Horansky, C. Lee, V. B. Verma, A. E. Lita, A. Restelli, J. C. Bienfang, R. P. Mirin, T. Gerrits, S. W. Nam, F. Marsili, M. D. Shaw, Z. Zhang, L. Wang, D. Englund, G. W. Wornell, J. H. Shapiro, and F. N. C. Wong, "Photon-e cient quantum key distribution using time-energy entanglement with highdimensional encoding," New Journal of Physics, vol. 17, no. 2, p. 022002, 2015.[12] J. Yang, X.-H. Bao, H. Zhang, S. Chen, C.-Z. Peng, Z.-B. Chen, and J.-W. Pan, "Experimental quantum teleportation and multiphoton entanglement via interfering narrowband photon sources," Physical Review A, vol. 80, no. 4, p. 042321, 2009.[13] P. S. Michelberger, T. F. M. Champion, M. R. Sprague, K. T. Kaczmarek, M. Barbieri, X. M. Jin, D. G. England, W. S. Kolthammer, D. J. Saunders, J. Nunn, and I. A. Walmsley, "Interfacing GHz-bandwidth heralded single photons with a warm vapour raman memory," New Journal of Physics, vol. 17, no. 4, p. 043006, 2015.[14] G. M. A.Valencia, "La luz: color y mucho m as," Hipótesis, no. 18, pp. 23-31, 2015.[15] A. Lipson, S. G. Lipson, and H. Lipson, Optical Physics. Cambridge University Press, 2009.[16] B. D. Guenther, Modern Optics. Oxford University Press, 2015.[17] E. Hecht, Optics. Boston: Pearson Education, Inc, 2017.[18] R. J. Glauber, "Nobel lecture: One hundred years of light quanta," Reviews of Modern Physics, vol. 78, no. 4, pp. 1267-1278, 2006.[19] M. Fox, Quantum Optics An Introduccion. Oxford University Press, 2006.[20] F. T. Arecchi, "Measurement of the statistical distribution of gaussian and laser sources," Physical Review Letters, vol. 15, no. 24, pp. 912-916, 1965.[21] L. E. Estes, L. M. Narducci, and R. A. Tuft, "Scattering of light from a rotating ground glass," Journal of the Optical Society of America, vol. 61, no. 10, p. 1301, 1971.[22] W. Martienssen and E. Spiller, "Coherence and uctuations in light beams," American Journal of Physics, vol. 32, no. 12, pp. 919-926, 1964.[23] A. Gatti, D. Magatti, and F. Ferri, "Three-dimensional coherence of light speckles: Theory," Physical Review A, vol. 78, no. 6, p. 063806, 2008.[24] T. A. Kuusela, "Measurement of the second-order coherence of pseudothermal light," American Journal of Physics, vol. 85, no. 4, pp. 289-294, 2017.[25] P. K. C. Gerry, Introductory Quantum Optics. Cambridge University Press, 2005.[26] P. W. P. Koczyk and C. Radzewicz, "Photon counting statistics\|undergraduate experiment," American Journal of Physics, vol. 64, no. 3, pp. 240-245, 1996.[27] H.-A. Bachor and T. C. Ralph, A Guide to Experiments in Quantum Optics. Wiley, 2019.[28] A. Zavatta, M. Bellini, P. L. Ramazza, F. Marin, and F. T. Arecchi, "Time-domain analysis of quantum states of light: noise characterization and homodyne tomography," Journal of the Optical Society of America B, vol. 19, no. 5, p. 1189, 2002.[29] G. Breitenbach, S. Schiller, and J. Mlynek, "Measurement of the quantum states of squeezed light," Nature, vol. 387, no. 6632, pp. 471-475, 1997.[30] D. T. Smithey, M. Beck, M. G. Raymer, and A. Faridani, "Measurement of the wigner distribution and the density matrix of a light mode using optical homodyne tomography: Application to squeezed states and the vacuum," Physical Review Letters, vol. 70, no. 9, pp. 1244-1247, 1993.[31] I. Khan, D. Elser, T. Dirmeier, C. Marquardt, and G. 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GVyZWNob3MgZGUgYXV0b3IgcXVlIGNvbmxsZXZlIGxhIGRpc3RyaWJ1Y2nDs24gZGUgZXN0b3MgYXJjaGl2b3MgeSBtZXRhZGF0b3MuCkFsIGhhY2VyIGNsaWMgZW4gZWwgc2lndWllbnRlIGJvdMOzbiwgdXN0ZWQgaW5kaWNhIHF1ZSBlc3TDoSBkZSBhY3VlcmRvIGNvbiBlc3RvcyB0w6lybWlub3MuCgpVTklWRVJTSURBRCBOQUNJT05BTCBERSBDT0xPTUJJQSAtIMOabHRpbWEgbW9kaWZpY2FjacOzbiAyNy8yMC8yMDIwCg==

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