Fermionic entanglement ambiguity in non-inertial frames

TL;DR

The paper investigates an ambiguity in measuring fermionic entanglement in non-inertial frames caused by anticommutation properties, and shows that introducing detectors resolves this ambiguity.

Contribution

It identifies the source of ambiguity in fermionic entanglement calculations and demonstrates that detector inclusion removes the non-uniqueness.

Findings

Ambiguity arises from fermionic anticommutation in entanglement measures.

Using detectors eliminates the non-uniqueness in results.

Detectors are essential for consistent entanglement analysis in non-inertial frames.

Abstract

We analyse an ambiguity in previous works on entanglement of fermionic fields in non-inertial frames. This ambiguity, related to the anticommutation properties of field operators, leads to non-unique results when computing entanglement measures for the same state. We show that the ambiguity disappears when we introduce detectors, which are in any case necessary as a means to probe the field entanglement.