Violation of Clauser-Horne-Shimony-Holt inequality for states resulting from entanglement swapping

TL;DR

This paper investigates how entanglement swapping can lead to violations of the CHSH inequality in quantum states that initially do not violate it, highlighting a non-intuitive aspect of quantum correlations.

Contribution

It demonstrates that entanglement swapping can induce CHSH inequality violations in states that originally do not violate it, revealing new insights into quantum entanglement.

Findings

Initial states do not violate CHSH inequality.

Post-swapping states can violate CHSH inequality.

Entanglement swapping can reveal hidden quantum correlations.

Abstract

We consider violation of CHSH inequality for states before and after entanglement swapping. We present a pair of initial states which do not violate CHSH inequality however the final state violates CHSH inequality for some results of Bell measurements performed in order to swap entanglement.