Tsallis entropy is natural in the formulation of quantum noise

TL;DR

This paper proposes a simple upper bound on Tsallis entropy for quantum systems, highlighting its natural role in quantum information theory and redefining related concepts like entropy exchange.

Contribution

It introduces an easy-to-compute upper bound on Tsallis entropy for density matrices in quantum systems, emphasizing its relevance in quantum information.

Findings

Tsallis entropy is shown to be a natural measure in quantum noise analysis

The paper provides a practical upper bound for Tsallis entropy in quantum systems

Redefines entropy exchange using the new bound

Abstract

In this paper we introduce an easy to compute upper bound on the Tsallis entropy of a density matrix describing a system coupled to a noise source. This suggests that the Tsallis entropy is most natural in the context of quantum information theory. Similarly we redefine entropy exchange and use the same bound.