Composability and Generalized Entropy

TL;DR

This paper explores how the property of composability influences the formulation of generalized entropy functions, analyzing specific entropy models to understand their constraints and potential structures.

Contribution

It provides a detailed investigation into the constraints imposed by composability on generalized entropy definitions and examines explicit entropy forms for their composability properties.

Findings

Identifies constraints on generalized entropy forms due to composability

Analyzes specific entropy ansatz for composability features

Provides insights into entropy structure limitations

Abstract

We address in this paper how tightly the composability nature of systems: $S_{A+B} =\Omega (S_A, S_B)$ constrains definition of generalized entropies and investigate explicitly the composability in some ansatz of the entropy form.