How can quantum field operators encode entanglement?

TL;DR

This paper develops techniques to represent quantum field operators in the Deutsch-Hayden form, enabling explicit, separable descriptions of entangled fermionic systems and their spin correlations in localized regions.

Contribution

It introduces methods to construct Deutsch-Hayden representations for quantum field operators and demonstrates their use in analyzing entanglement and spin correlations.

Findings

Constructed Deutsch-Hayden field operators for fermions

Verified spin correlation measurements match expected quantum predictions

Provided a separable description of entangled quantum fields

Abstract

We present techniques to construct the Deutsch-Hayden representation for quantum field operators and apply them to an entangled state of identical nonrelativistic spin-1/2 fermions localized in well-separated spatial regions. Using these entangled field operators we construct operators measuring spin in localized spatial regions, and verify that matrix elements of the spin-measurement operators in the information-free Deutsch-Hayden state yield the expected correlations between pairs of both entangled and unentangled particles. The entangled Deutsch-Hayden-representation field operators furnish an explicitly separable description of the entangled system.