$\psi$-Epistemic Models and Bell Theorem

TL;DR

This paper explores the conditions under which mixed quantum states, decomposable in multiple ways, cannot be explained by a single hidden variable model, linking this to Bell's theorem.

Contribution

It establishes a connection between the decomposability of mixed states and the implications of Bell's theorem for hidden variable theories.

Findings

Identifies conditions preventing a mixed state from having a single hidden variable explanation.

Links the decomposability of mixed states to Bell's theorem.

Provides insights into the foundations of quantum mechanics.

Abstract

We consider a question in what condition a mixed state which can be decomposed in different ways cannot be described by a single set of hidden variables. The condition is closely related with Bell theorem.