How can quantum field operators encode entanglement?
Quantum Physics
2023-01-11 v2
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.
Cite
@article{arxiv.2207.09020,
title = {How can quantum field operators encode entanglement?},
author = {Mark A. Rubin},
journal= {arXiv preprint arXiv:2207.09020},
year = {2023}
}
Comments
29 pages, no figures. Typos corrected, minor changes in wording, conclusions unchanged