Shortnote on local hidden Grassmann variables vs. quantum correlations

TL;DR

This paper explores the use of Grassmannian local hidden variables to generate all quantum correlations in bipartite systems, offering a novel mathematical perspective on entanglement without challenging Bell's theorem.

Contribution

It introduces Grassmann hidden variables as a new mathematical tool for analyzing quantum correlations and entanglement in bipartite systems.

Findings

Grassmann hidden variables can generate all bipartite quantum correlations

Grassmann representation links fermions in field theory to quantum entanglement

Grassmann variables do not violate Bell's locality theorem

Abstract

Grassmannian local hidden variables are shown to generate all possible quantum correlations in a bipartite quantum system. Grassmann representation of fermions, common in field theory, opens a related perspective. Although Grassmann hidden variables can not challange Bell's locality theorem, they can become an interesting mathematical tool to investigate entanglement.