Evaluating the geometric measure of multiparticle entanglement

TL;DR

This paper introduces an analytical method to evaluate the geometric measure of multiparticle entanglement in mixed quantum states, applicable to symmetric states and providing bounds for general states, enhancing understanding of quantum entanglement.

Contribution

The paper develops a new analytical approach for calculating the geometric measure of multiparticle entanglement, applicable to symmetric states and offering bounds for general states.

Findings

Method computes entanglement measure for symmetric states.

Provides lower bounds for general multiparticle states.

Applicable to any number of particles and entanglement classes.

Abstract

We present an analytical approach to evaluate the geometric measure of multiparticle entanglement for mixed quantum states. Our method allows the computation of this measure for a family of multiparticle states with a certain symmetry and delivers lower bounds on the measure for general states. It works for an arbitrary number of particles, for arbitrary classes of multiparticle entanglement, and can also be used to determine other entanglement measures.