Geometrical view of quantum entanglement

TL;DR

This paper presents a geometric interpretation of quantum entanglement within the de Broglie-Bohm framework, linking entanglement to angular momentum dynamics in hidden variable space, offering new conceptual insights.

Contribution

It introduces a novel geometrical visualization of quantum entanglement in the de Broglie-Bohm interpretation, connecting entanglement to angular momentum behavior.

Findings

Entanglement linked to concurrent angular momentum motion.

Average angle between momenta characterizes entanglement.

Provides a geometric language for entanglement analysis.

Abstract

Although a precise description of microscopic physical problems requires a full quantum mechanical treatment, physical quantities are generally discussed in terms of classical variables. One exception is quantum entanglement which apparently has no classical counterpart. We demonstrate here how quantum entanglement may be within the de Broglie-Bohm interpretation of quantum mechanics visualized in geometrical terms, giving new insight into this mysterious phenomenon and a language to describe it. On the basis of our analysis of the dynamics of a pair of qubits, quantum entanglement is linked to concurrent motion of angular momenta in the Bohmian space of hidden variables and to the average angle between these momenta.