Quantal effects and MaxEnt

TL;DR

This paper generalizes the maximum entropy principle to convex operational models, providing a geometric and lattice-theoretic framework that broadens its applicability and understanding in statistical theories.

Contribution

It introduces a geometric and lattice-theoretic formulation of MaxEnt applicable to any convex operational model, expanding its theoretical foundation.

Findings

MaxEnt can be expressed in a geometric and lattice-theoretic setting.

The generalization applies to any convex operational model.

Provides new insights into the geometrical structure of MaxEnt.

Abstract

Convex operational models (COMs) are considered as great extrapolations to larger settings of any statistical theory. In this article we generalize the maximum entropy principle (MaxEnt) of Jaynes' to any COM. After expressing Max-Ent in a geometrical and latttice theoretical setting, we are able to cast it for any COM. This scope-amplification opens the door to a new systematization of the principle and sheds light into its geometrical structure.