On a parametrically extended entanglement-measure due to Tsallis relative entropy

TL;DR

This paper introduces a parametrically extended entanglement measure based on Tsallis relative entropy, analyzing its properties and relation to the relative entropy of entanglement, expanding the mathematical framework for quantifying quantum entanglement.

Contribution

It proposes a new entanglement measure using Tsallis relative entropy and explores its properties and connections to existing entanglement measures.

Findings

The entanglement measure depends on the parameter q.

Properties of the measure vary with q.

Relation to the relative entropy of entanglement is established.

Abstract

In the previous paper \cite{FYK}, we mainly studied the mathematical properties of Tsallis relative entropy with respect to the density operators. As an application of it, we adopt a parametrically extended entanglement-measure due to Tsallis relative entropy in order to measure the degree of entanglement. Then we study its properies with respect to the parameter $q$ appearing in Tsallis entropies. In addition, the relation between it and the relative entropy of entanglement is studied.