A comment on "Tripartite entanglement versus tripartite nonlocality in 3-qubit GHZ-class states"

TL;DR

This paper comments on a previous study of Svetlichny inequalities in 3-qubit GHZ-class states, suggesting a possible mistake in the main result regarding the maximum expectation value of the Svetlichny operator.

Contribution

It critically examines the derivation of the maximum Svetlichny operator expectation value in the original work, proposing that there may be an error in the central result.

Findings

Potential mistake identified in the original maximum expectation value calculation.

Highlights the importance of accurate derivations in understanding tripartite nonlocality.

Stimulates further scrutiny of Svetlichny inequality results in GHZ-class states.

Abstract

The paper titled "Tripartite entanglement versus tripartite nonlocality in 3-qubit GHZ-class states", (Physical Review Letters 102, 250404 (2009)), does very important work on studying the nature of Svetlichny Inequalities (which are Bell-type inequalities) and sheds light on some important properties and relationship between Svetlichny inequality and tripartite entanglement. It derives a result for the maximum expectation value of Svetlichny operator for GGHZ and MS states. In this comment, it is put forth that there is probably a mistake in the central result derived in the paper.