The quantum Bayes rule and generalizations from the quantum maximum entropy method

K Vanslette - Journal of Physics Communications, 2018 - iopscience.iop.org
Abstract The recent article'Entropic Updating of Probability and Density Matrices'[1] derives
and demonstrates the inferential origins of both the standard and quantum relative entropies …

[图书][B] The inferential design of entropy and its application to quantum measurements

K Vanslette - 2018 - search.proquest.com
This thesis synthesizes probability and entropic inference with Quantum Mechanics and
quantum measurement [1-6]. It is shown that the standard and quantum relative entropies …

Justification of the maximum entropy criterion in quantum mechanics

R Balian - Maximum Entropy and Bayesian Methods: Cambridge …, 1989 - Springer
By relying on the principle of indifference in a form suited to quantum mechanics, we prove
that the density operator which should be assigned to a quantum system when only partial …

Quantum density matrix and entropic uncertainty

R Blankenbecler, H Partovi - Fifth Workshop on Maximum Entropy and …, 1985 - Springer
Quantum Density Matrix and Entropic Uncertainty * ABSTRACT 1. Introduction A Talk given at
the Fifth Workshop on Maximum Entropy Page 1 Quantum Density Matrix and Entropic …

Entropic updating of probabilities and density matrices

K Vanslette - Entropy, 2017 - mdpi.com
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 …

A note on relative entropy

RW Benoist, JP Marchand, W Wyss - Letters in Mathematical Physics, 1979 - Springer
A note on relative entropy Page 1 A NOTE ON RELATIVE ENTROPY RODNEY W. BENOIST
and JEAN-PAUL MARCHAND Departments of Mathematics and Physics, University of Denver …

Statistical mechanics and the maximum entropy method

R Balian - From statistical physics to statistical inference and back, 1994 - Springer
This course reviews the foundations and methods of statistical mechanics in their relation to
the maximum entropy principle. After having introduced the main tools of information theory …

Entropies in general probabilistic theories and their application to the Holevo bound

G Kimura, J Ishiguro, M Fukui - Physical Review A, 2016 - APS
General probabilistic theories are designed to provide operationally the most general
probabilistic models including both classical and quantum theories. In this paper, we …

Quantum statistical inference

RN Silver - Maximum Entropy and Bayesian Methods: Paris …, 1996 - Springer
Can quantum probability theory be applied, beyond the microscopic scale of atoms and
quarks, to the human problem of reasoning from incomplete and uncertain data? A unified …

Extension of quantum information by using entropy of deterministic functions

G Jumarie - Mathematical and computer modelling, 1991 - Elsevier
The concept of entropy of random variables first defined by Shannon has been generalized
later in various ways by mathematicians who so obtained new measures of uncertainty …