Gauge fields and quantum entanglement

TL;DR

This paper investigates the connection between SU(2) gauge fields and quantum entanglement, revealing that gauge field holonomies relate to maximally entangled states and suggesting a deeper link with spin systems and quantum gravity frameworks.

Contribution

It introduces a novel perspective linking gauge fields to quantum entanglement, providing evidence that gauge properties can be derived from entangled states.

Findings

Holonomies of SU(2) gauge fields relate to maximally entangled two-particle states.

Gauge fields can be inferred from the transformation properties of entangled states.

The work suggests a connection between gauge theories, spin systems, and quantum gravity models.

Abstract

The purpose of this letter is to explore the relation between gauge fields, which are at the base of our understanding of fundamental interactions, and the quantum entanglement. To this end, we investigate the case of ${\rm SU}(2)$ gauge fields. It is first argued that holonomies of the ${\rm SU}(2)$ gauge fields are naturally associated with maximally entangled two-particle states. Then, we provide some evidence that the notion of such gauge fields can be deduced from the transformation properties of maximally entangled two-particle states. This new insight unveils a possible relation between gauge fields and spin systems, as well as contributes to understanding of the relation between tensor networks (such as MERA) and spin network states considered in loop quantum gravity. In consequence, our results turn out to be relevant in the context of the emerging Entanglement/Gravity duality.