Quantum Knowledge in Phase Space

Quantum physics through the lens of Bayesian statistics considers probability to be a degree of belief and subjective. A Bayesian derivation of the probability density function in phase space is presented. Then, a Kullback–Liebler divergence in phase space is introduced to define interference and en...

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Detalles Bibliográficos
Autor principal: Geiger, Davi
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2023
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10453271/
https://www.ncbi.nlm.nih.gov/pubmed/37628257
http://dx.doi.org/10.3390/e25081227
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author Geiger, Davi
author_facet Geiger, Davi
author_sort Geiger, Davi
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description Quantum physics through the lens of Bayesian statistics considers probability to be a degree of belief and subjective. A Bayesian derivation of the probability density function in phase space is presented. Then, a Kullback–Liebler divergence in phase space is introduced to define interference and entanglement. Comparisons between each of these two quantities and the entropy are made. A brief presentation of entanglement in phase space to the spin degree of freedom and an extension to mixed states completes the work.
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spelling pubmed-104532712023-08-26 Quantum Knowledge in Phase Space Geiger, Davi Entropy (Basel) Article Quantum physics through the lens of Bayesian statistics considers probability to be a degree of belief and subjective. A Bayesian derivation of the probability density function in phase space is presented. Then, a Kullback–Liebler divergence in phase space is introduced to define interference and entanglement. Comparisons between each of these two quantities and the entropy are made. A brief presentation of entanglement in phase space to the spin degree of freedom and an extension to mixed states completes the work. MDPI 2023-08-17 /pmc/articles/PMC10453271/ /pubmed/37628257 http://dx.doi.org/10.3390/e25081227 Text en © 2023 by the author. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Geiger, Davi
Quantum Knowledge in Phase Space
title Quantum Knowledge in Phase Space
title_full Quantum Knowledge in Phase Space
title_fullStr Quantum Knowledge in Phase Space
title_full_unstemmed Quantum Knowledge in Phase Space
title_short Quantum Knowledge in Phase Space
title_sort quantum knowledge in phase space
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10453271/
https://www.ncbi.nlm.nih.gov/pubmed/37628257
http://dx.doi.org/10.3390/e25081227
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