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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MDPI AG
2019-08-01
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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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issn | 2218-2004 |
language | English |
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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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