Maximally entangled states and Bell's inequality in relativistic regime

TL;DR

This paper demonstrates that in the relativistic regime, maximally entangled two and three spin-1/2 particle states produce the largest Bell inequality violations, with implications for quantum nonlocality in relativistic contexts.

Contribution

It shows that maximally entangled states yield maximal Bell inequality violation in relativistic regimes and extends the analysis to three particles, identifying the largest eigenvalue of the Bell operator.

Findings

Maximally entangled states produce maximal Bell violation relativistically.

Largest eigenvalue of Bell operator equals expectation on GHZ state.

Extension of results to three spin-1/2 particles.

Abstract

In this Letter we show that in relativistic regime maximally entangled state of two spin-1/2 particles not only gives maximal violation of the Bell-CHSH inequality but also gives the largest violation attainable for any pairs of four spin observables that are noncommuting for both systems. Also we extend our results to three spin-1/2 particles. We obtain the largest eigenvalue of Bell operator and show that this value is equal to expectation value of Bell operator on GHZ state.