Concurrence of assistance and Mermin inequality on three-qubit pure states

TL;DR

This paper explores the relationship between the concurrence of assistance and Mermin inequality in three-qubit pure states, revealing that high concurrence of assistance implies violation of Mermin inequality.

Contribution

It establishes a threshold for concurrence of assistance that guarantees Mermin inequality violation in three-qubit pure states.

Findings

States with concurrence of assistance > 1/2 violate Mermin inequality

Provides a link between entanglement measure and quantum nonlocality

Enhances understanding of quantum correlations in three-qubit systems

Abstract

We study a relation between the concurrence of assistance and the Mermin inequality on three-qubit pure states. We find that if a given three-qubit pure state has the minimal concurrence of assistance greater than 1/2 then the state violates some Mermin inequality.