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Entropy 2017, 19(12), 664; https://doi.org/10.3390/e19120664

Entropic Updating of Probabilities and Density Matrices

Department of Physics, University at Albany (SUNY), Albany, NY 12222, USA
Received: 2 November 2017 / Revised: 1 December 2017 / Accepted: 2 December 2017 / Published: 4 December 2017
(This article belongs to the Special Issue Quantum Information and Foundations)
Full-Text   |   PDF [801 KB, uploaded 6 December 2017]

Abstract

We find that the standard relative entropy and the Umegaki entropy are designed for the purpose of inferentially updating probabilities and density matrices, respectively. From the same set of inferentially guided design criteria, both of the previously stated entropies are derived in parallel. This formulates a quantum maximum entropy method for the purpose of inferring density matrices in the absence of complete information. View Full-Text
Keywords: probability theory; entropy; quantum relative entropy; quantum information; quantum mechanics; inference probability theory; entropy; quantum relative entropy; quantum information; quantum mechanics; inference
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 (CC BY 4.0).
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Vanslette, K. Entropic Updating of Probabilities and Density Matrices. Entropy 2017, 19, 664.

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