Quantitative bound entanglement in two-qutrit states

TL;DR

This paper provides an exact quantitative analysis of bound entanglement in a specific family of two-qutrit states, advancing understanding of complex quantum correlations.

Contribution

It introduces a method to precisely quantify entanglement in a family of symmetric two-qutrit states, including bound entangled states, using convex-roof extensions.

Findings

Exact entanglement quantification for the family of states.

Explicit calculation of convex-roof extensions of linear entropy and concurrence.

Provides a benchmark for future studies in higher-dimensional bipartite entanglement.

Abstract

Among the many facets of quantum correlations, bound entanglement has remained one the most enigmatic phenomena, despite the fact that it was discovered in the early days of quantum information. Even its detection has proven to be difficult, let alone its precise quantitative characterization. In this work, we present the exact quantification of entanglement for a two-parameter family of highly symmetric two-qutrit mixed states, which contains a sizable part of bound entangled states. We achieve this by explicitly calculating the convex-roof extensions of the linear entropy as well as the concurrence for every state within the family. Our results provide a benchmark for future quantitative studies of bipartite entanglement in higher-dimensional systems.