Scattering entropies of quantum graphs with several channels

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.