Frame independent nonlocality for three qubit state

TL;DR

This paper examines the invariance of Bell's inequality violation for three-qubit GHZ states under Lorentz boosts using different relativistic spin operators, confirming maximal violation persists in relativistic regimes.

Contribution

It demonstrates that Bell's inequality remains maximally violated for three-qubit GHZ states in relativistic frames, regardless of the relativistic spin operator used.

Findings

Bell's inequality is maximally violated in Lorentz-boosted frames.

The violation persists for different relativistic spin operators.

Maximal violation is invariant under relativistic transformations.

Abstract

Bell's inequality is investigated for the three qubit GHZ state in relativistic regime. Two different relativistic spin operator are considered. One of them is defined by Lee, and the other is the Pauli-Lubanski pseudovector used by Kim \textit{et al}. It is shown that for both spin operator Bell's inequality is still maximally violated in a Lorentz-boosted frame.