Generalized Geometric Measure of Entanglement for Multiparty Mixed States

TL;DR

This paper introduces a method to compute a genuine multiparty entanglement measure for certain symmetric mixed states, simplifying the complex optimization usually involved in such calculations.

Contribution

It presents a novel approach leveraging symmetries to calculate the generalized geometric measure for multipartite mixed states of varying ranks and parties.

Findings

Efficient computation of entanglement for symmetric mixed states

Applicable to states with different ranks and arbitrary number of parties

Provides a practical tool for entanglement quantification in complex systems

Abstract

Computing entanglement of an arbitrary bipartite or multipartite mixed state is in general not an easy task as it usually involves complex optimization. Here we show that exploiting symmetries of certain mixed states, we can compute a genuine multiparty entanglement measure, the generalized geometric measure for these classes of mixed states. The chosen states have different ranks and consist of an arbitrary number of parties.