How can quantum field operators encode entanglement?

• URL: http://arxiv.org/abs/2207.09020v2
• Date: Sat, 19 Nov 2022 20:15:57 GMT
• Title: How can quantum field operators encode entanglement?
• Authors: Mark A. Rubin
• Abstract summary: We present techniques to construct the Deutsch-Hayden representation for quantum field operators. We apply them to an entangled state of identical nonrelativistic spin-1/2 fermions localized in well-separated spatial regions.
• Score: 0.07614628596146598
• License: http://creativecommons.org/licenses/by/4.0/
• 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.

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