Jensen Shannon divergence as a measure of the degree of entanglement

TL;DR

This paper investigates the quantum Jensen Shannon divergence as a geometric measure of entanglement between quantum states, providing insights into its applicability across various state families.

Contribution

It introduces the use of QJSD as a measure of entanglement and explores its properties and effectiveness in different quantum state families.

Findings

QJSD effectively quantifies entanglement.

Application to various quantum states demonstrates its versatility.

Provides a geometric perspective on quantum entanglement.

Abstract

The notion of distance in Hilbert space is relevant in many scenarios. In particular, distances between quantum states play a central role in quantum information theory. An appropriate measure of distance is the quantum Jensen Shannon divergence (QJSD) between quantum states. Here we study this distance as a geometrical measure of entanglement and apply it to different families of states.