Bell-type inequalities for arbitrary observables

TL;DR

This paper derives a Bell-type inequality applicable to any observables and proposes an experimental setup using squeezed light and homodyne detection to demonstrate quantum violations, even with realistic detection efficiencies.

Contribution

It introduces a Bell-type inequality for arbitrary spectra and suggests a feasible experimental test with continuous variables.

Findings

Violation of the inequality is possible with current technology.

The violation persists despite realistic detection inefficiencies.

The approach extends Bell tests to a broader class of quantum observables.

Abstract

We derive a Bell-type inequality for observables with arbitrary spectra. For the case of continuous variable systems we propose a possible experimental violation of this inequality, by using squeezed light and homodyne detection together with methods of quantum-state reconstruction. It is shown that the violation is also possible for realistic detection efficiencies.