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 …
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 …
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 …
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 …
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 …
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 …
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 …
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 …
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 …