A study of the violation of the Bell-CHSH inequality through a pairing mechanism

TL;DR

This paper investigates how pairing mechanisms using pseudospin operators can demonstrate Bell-CHSH inequality violations in bipartite quantum systems, including N00N, coherent, and squeezed states.

Contribution

It introduces a pairing approach with pseudospin operators to test Bell-CHSH violations using a single pair of modes, simplifying experimental procedures.

Findings

Single pair testing can reveal Bell-CHSH violations.

The method applies to N00N, coherent, and squeezed states.

Pairing mechanism simplifies Bell inequality tests.

Abstract

The violation of the Bell-CHSH inequality for bipartite systems is discussed by making use of the pseudospin operators which enable us to group all modes of the Hilbert space of the system in pairs. We point out that a single pair can be already employed to perform a test of the Bell-CHSH inequality in order to check out its violation. The mechanism is illustrated with the help of $N00N$ states as well as with coherent and squeezed states.