Toward an understanding of entanglement for generalized n-qubit W-states

TL;DR

This paper analytically solves the stationarity equations for the geometric measure of entanglement in multi-qubit W-type states, providing explicit maximal overlaps and nearest product states, with discussions on extensions and interpretations.

Contribution

It introduces an analytical approach to compute the geometric measure of entanglement for generalized W-states, advancing understanding of their entanglement structure.

Findings

Analytical solutions for maximal overlaps of W-states

Explicit nearest product states identified

Discussion on extensions and geometrical interpretations

Abstract

We solve stationarity equations of the geometric measure of entanglement for multi-qubit W-type states. In this way we compute analytically the maximal overlap of one-parameter $n$-qubit and two-parameter four-qubit W-type states and their nearest product states. Possible extensions to arbitrary W-type states and geometrical interpretations of these results are discussed in detail.