Article
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Entropic Updating of Probability and Density Matrices
Version 1
: Received: 2 November 2017 / Approved: 3 November 2017 / Online: 3 November 2017 (05:42:31 CET)
A peer-reviewed article of this Preprint also exists.
Vanslette, K. Entropic Updating of Probabilities and Density Matrices. Entropy 2017, 19, 664. Vanslette, K. Entropic Updating of Probabilities and Density Matrices. Entropy 2017, 19, 664.
Abstract
We find that the standard relative entropy and the Umegaki entropy are designed for the purpose of inferentially updating probability 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.
Keywords
probability theory; entropy; quantum relative entropy; quantum information; quantum mechanics; inference
Subject
Physical Sciences, Quantum Science and Technology
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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