Article
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Preserved in Portico This version is not peer-reviewed
Quantum Knowledge in Phase Space
Version 1
: Received: 25 July 2023 / Approved: 27 July 2023 / Online: 28 July 2023 (13:26:28 CEST)
A peer-reviewed article of this Preprint also exists.
Geiger, D. Quantum Knowledge in Phase Space. Entropy 2023, 25, 1227. Geiger, D. Quantum Knowledge in Phase Space. Entropy 2023, 25, 1227.
Abstract
Quantum physics through the lenses of Bayesian statistics consider probabilities to be degree of believes or knowledge and subjective. A Bayesian derivation of the probability density function in phase space is presented. The entropy proposed by Geiger and Kedem \cite{GeiKed2022a,GeiKed2022b} in phase space is expanded to define quantitatively 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 to mixed states completes the work.
Keywords
Bayesian Statistics; interference; entanglement; entropy; Kullback-Liebler divergence
Subject
Physical Sciences, Theoretical Physics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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