A simple test for hidden variables in spin-1 system

TL;DR

This paper introduces a Bell-type inequality for spin-1 systems, demonstrating the nonclassical nature of most states and providing a new method to test for hidden variables in such quantum systems.

Contribution

It presents a novel Bell-type inequality specifically designed for spin-1 systems, addressing a longstanding problem about hidden variables in three-dimensional quantum systems.

Findings

Most spin-1 states violate the inequality, indicating nonclassical behavior.

The inequality provides a practical test for hidden variables in spin-1 systems.

Discussion of physical implications and potential experimental verification.

Abstract

We resolve an old problem about the existence of hidden parameters in a three-dimensional quantum system by constructing an appropriate Bell's type inequality. This reveals a nonclassical nature of most spin-$1$ states. We shortly discuss some physical implications and an underlying cause of this nonclassical behavior, as well as a perspective of its experimental verification.