Multipartite omnidirectional generalized Bell inequality

TL;DR

This paper introduces a new multipartite Bell inequality involving all local settings, demonstrating stronger non-locality in six-qubit states and revealing insights into quantum correlations and local realistic models.

Contribution

It derives a comprehensive Bell inequality for multipartite systems that surpasses previous inequalities in detecting non-locality in specific quantum states.

Findings

Demonstrates stronger non-locality in six-qubit GHZ states

Shows existence of local realistic models under certain noise conditions

Reveals the new inequality's increased stringency over previous Bell inequalities

Abstract

We derive a multipartite generalized Bell inequality which involves the entire range of settings for each of the local observers. Especially, it is applied to show non-local behavior of a six-qubit mixture of Greenberger-Horne-Zeilinger correlations stronger than previous Bell inequalities. For certain noise admixture to the correlations an explicit local realistic model exists in the case of a standard Bell experiment. Bell experiments with many local settings reveal the non-locality of the state. It turns out that the new inequality is more stringent than many other Bell inequalities in the specific quantum state.