Accurate calculation of the geometric measure of entanglement for multipartite quantum states

TL;DR

This paper introduces an efficient tensor decomposition-based method for calculating the geometric measure of entanglement in multipartite quantum states, demonstrating its effectiveness through numerical benchmarks and applications to highly entangled qubit states.

Contribution

It presents a novel tensor decomposition approach for accurately computing the geometric measure of entanglement in complex quantum systems.

Findings

Method achieves accurate entanglement calculations

Numerical benchmarks validate the approach

Applicable to highly entangled qubit states

Abstract

This article proposes an efficient way of calculating the geometric measure of entanglement using tensor decomposition methods. The connection between these two concepts is explored using the tensor representation of the wavefunction. Numerical examples are benchmarked and compared. Furthermore, we search for highly entangled qubit states to show the applicability of this method.