Nonlocality of two-qubit and three-qubit Schmidt-Correlated states

TL;DR

This paper analyzes the nonlocality of two- and three-qubit Schmidt-correlated states, providing analytical expressions for Bell inequality violations and exploring their relation to entanglement measures.

Contribution

It offers the first analytical expressions for maximum Bell inequality violations of Schmidt-correlated states and clarifies their connection to entanglement and nonlocality.

Findings

CHSH violation is necessary and sufficient for two-qubit nonlocality.

Svetlichny violation is sufficient for three-qubit genuine nonlocality.

Relations among violation values, concurrence, and entanglement are discussed.

Abstract

We investigate the nonlocality of Schmidt-correlated (SC) states, and present analytical expressions of the maximum violation value of Bell inequalities. It is shown that the violation of Clauser-Horne-Shimony-Holt (CHSH) inequality is necessary and sufficient for the nonlocality of two-qubit SC states, whereas the violation of the Svetlichny inequality is only a sufficient condition for the genuine nonlocality of three-qubit SC states. Furthermore, the relations among the maximum violation values, concurrence and relative entropy entanglement are discussed.