Scattering entropies of quantum graphs with several channels

TL;DR

This paper investigates various entropy measures, including Shannon, Rényi, and Tsallis, in quantum graphs with multiple channels, providing insights into their entanglement and transport properties.

Contribution

It introduces a comprehensive analysis of scattering entropies in quantum graphs with multiple channels, expanding understanding of their quantum transport characteristics.

Findings

Different entropy measures reveal distinct quantum behaviors.

Results applicable to quantum transport models.

Enhanced understanding of entanglement in quantum graphs.

Abstract

This work deals with the scattering entropy of quantum graphs in many different circumstances. We first consider the case of the Shannon entropy and then the R\'enyi and Tsallis entropies, which are more adequate to study distinct quantitative behavior such as entanglement and nonextensive behavior, respectively. We describe many results associated with different types of quantum graphs in the presence of several vertices, edges, and leads. In particular, we think the results may be used as quantifiers in models related to the transport in quantum graphs.