Preprint Article Version 1 This version is not peer-reviewed

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.

Journal reference: Entropy 2017, 19, 664
DOI: 10.3390/e19120664

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.

Subject Areas

probability theory; entropy; quantum relative entropy; quantum information; quantum mechanics; inference

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