From Stochastic Optics to theWigner Formalism: The Role of the Vacuum Field in Optical Quantum Communication Experiments

TheWigner formalism in the Heisenberg picture constitutes a bridge that connects Quantum<br />Optics to Stochastic Optics. The vacuum field appears explicitly in the formalism, and the wavelike<br />aspects of light are emphasised. In addition, the zeropoint intensity as a threshold for...

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Main Authors: Alberto Casado, Santiago Guerra, José Plácido
Format: Article
Language:English
Published: MDPI AG 2019-08-01
Series:Atoms
Subjects:
Online Access:https://www.mdpi.com/2218-2004/7/3/76
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author Alberto Casado
Santiago Guerra
José Plácido
author_facet Alberto Casado
Santiago Guerra
José Plácido
author_sort Alberto Casado
collection DOAJ
description TheWigner formalism in the Heisenberg picture constitutes a bridge that connects Quantum<br />Optics to Stochastic Optics. The vacuum field appears explicitly in the formalism, and the wavelike<br />aspects of light are emphasised. In addition, the zeropoint intensity as a threshold for detection is a<br />common denominator in both theories. In this paper, after summarising the basic rules of the Wigner<br />approach and its application to parametric down-conversion, some new results are presented that<br />delve into the physical meaning of the zeropoint field in optical quantum communication. Specifically,<br />the relationship between Bell-state distinguishability and the number of sets of zeropoint modes<br />that take part in the experiment is analysed in terms of the coupling between the phases of the<br />different fields involved and the subtraction of the zeropoint intensity at the detectors. Additionally,<br />the connection between the compatibility theorem in quantum cryptography and zeropoint field<br />is stressed.
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spelling doaj.art-9af61d8ffe3244ce987fa2a211a9c0942022-12-22T03:56:24ZengMDPI AGAtoms2218-20042019-08-01737610.3390/atoms7030076atoms7030076From Stochastic Optics to theWigner Formalism: The Role of the Vacuum Field in Optical Quantum Communication ExperimentsAlberto Casado0Santiago Guerra1José Plácido2Departamento de Física Aplicada III, Escuela Técnica Superior de Ingeniería, Universidad de Sevilla, 41092 Sevilla, SpainGrupo de Ingeniería Térmica e Instrumentación, Universidad de Las Palmas de Gran Canaria, 35017 Las Palmas de Gran Canaria, SpainGrupo de Ingeniería Térmica e Instrumentación, Universidad de Las Palmas de Gran Canaria, 35017 Las Palmas de Gran Canaria, SpainTheWigner formalism in the Heisenberg picture constitutes a bridge that connects Quantum<br />Optics to Stochastic Optics. The vacuum field appears explicitly in the formalism, and the wavelike<br />aspects of light are emphasised. In addition, the zeropoint intensity as a threshold for detection is a<br />common denominator in both theories. In this paper, after summarising the basic rules of the Wigner<br />approach and its application to parametric down-conversion, some new results are presented that<br />delve into the physical meaning of the zeropoint field in optical quantum communication. Specifically,<br />the relationship between Bell-state distinguishability and the number of sets of zeropoint modes<br />that take part in the experiment is analysed in terms of the coupling between the phases of the<br />different fields involved and the subtraction of the zeropoint intensity at the detectors. Additionally,<br />the connection between the compatibility theorem in quantum cryptography and zeropoint field<br />is stressed.https://www.mdpi.com/2218-2004/7/3/76stochastic electrodynamicsWigner representationzeropoint fieldparametric downconversionentanglementquantum communicationBell-state measurement
spellingShingle Alberto Casado
Santiago Guerra
José Plácido
From Stochastic Optics to theWigner Formalism: The Role of the Vacuum Field in Optical Quantum Communication Experiments
Atoms
stochastic electrodynamics
Wigner representation
zeropoint field
parametric downconversion
entanglement
quantum communication
Bell-state measurement
title From Stochastic Optics to theWigner Formalism: The Role of the Vacuum Field in Optical Quantum Communication Experiments
title_full From Stochastic Optics to theWigner Formalism: The Role of the Vacuum Field in Optical Quantum Communication Experiments
title_fullStr From Stochastic Optics to theWigner Formalism: The Role of the Vacuum Field in Optical Quantum Communication Experiments
title_full_unstemmed From Stochastic Optics to theWigner Formalism: The Role of the Vacuum Field in Optical Quantum Communication Experiments
title_short From Stochastic Optics to theWigner Formalism: The Role of the Vacuum Field in Optical Quantum Communication Experiments
title_sort from stochastic optics to thewigner formalism the role of the vacuum field in optical quantum communication experiments
topic stochastic electrodynamics
Wigner representation
zeropoint field
parametric downconversion
entanglement
quantum communication
Bell-state measurement
url https://www.mdpi.com/2218-2004/7/3/76
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