Bayes' rule, P (B| A) P (A)= P (A| B) P (B), is one of the simplest yet most profound,
ubiquitous, and far-reaching results of classical probability theory, with applications in any …

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 …

Using a diagrammatic reformulation of Bayes' theorem, we provide a necessary and
sufficient condition for the existence of Bayesian inference in the setting of finite-dimensional …

In the context of irreversible dynamics, associating to a physical process its intuitive reverse
can result to be a quite ambiguous task. It is a standard choice to define the reverse process …

This article expands the framework of Bayesian inference and provides direct probabilistic
methods for approaching inference tasks that are typically handled with information theory …

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 …

We address the problem of compressing density operators defined on a finite dimensional
Hilbert space which assumes a tensor product decomposition. In particular, we look for an …

A quantum analogue of Bayesian inference is considered here. Quantum state-update rule
associated with instrument is elected as a quantum Bayes' rule. A sufficient condition on the …

We address the problem of efficiently and effectively compress density operators (DOs), by
providing an efficient procedure for learning the most likely DO, given a chosen set of partial …

En el desarrollo de tecnologías cuánticas frecuentemente se utilizan como recurso las
correlaciones entre los componentes de sistemas multipartidos. Las correlaciones en …