Relativistic quantum nonlocality for the three-qubit Greenberger-Horne-Zeilinger state

TL;DR

This paper investigates how relativistic effects influence quantum nonlocality in three-qubit GHZ states, demonstrating maximal Bell inequality violation even at ultrarelativistic speeds, with implications for quantum information in relativistic regimes.

Contribution

It provides a detailed analysis of Lorentz transformations on three-qubit GHZ states and derives the relativistic spin measurement, revealing the persistence of Bell inequality violations at high velocities.

Findings

Bell's inequality is maximally violated in relativistic regime.

Identifies critical boost speed where violation ceases.

Maximal violation persists in ultrarelativistic limit.

Abstract

Lorentz transformation of three-qubit Greenberger-Horne-Zeilinger (GHZ) state is studied. Also we obtain the relativistic spin joint measurement for the transformed state. Using these results it is shown that Bell's inequality is maximally violated for three-qubit GHZ state in relativistic regime. For ultrarelativistic particles we obtain the critical value for boost speed which Bell's inequality is not violated for velocities smaller than this value. We also show that in ultrarelativistic limit Bell's inequality is maximally violated for GHZ state.