Reduction of entanglement degradation and teleportation improvement in Einstein-Gauss-Bonnet gravity

TL;DR

This paper studies how Einstein-Gauss-Bonnet gravity influences entanglement degradation near black holes, showing that the Gauss-Bonnet term can reduce entanglement loss caused by Hawking-Unruh effects, with higher dimensions increasing degradation.

Contribution

It demonstrates the role of the Gauss-Bonnet term in mitigating entanglement degradation and explores the effects of higher dimensions on entanglement behavior in black hole spacetimes.

Findings

Gauss-Bonnet term decreases entanglement degradation.

Higher dimensions lead to increased entanglement loss.

Distinct behaviors of entanglement near five-dimensional and higher-dimensional black holes.

Abstract

Bipartite entanglement for states of a non-interacting bosonic or fermionic field in the spacetime of a spherically symmetric black hole of Einstein-Gauss-Bonnet gravity, is investigated. Although the initial state is chosen to be maximally entangled as the Bell states, the Hawking-Unruh effect causes the state to be mixed and the entanglement degrades, but with different asymptotic behaviors for the fermionic and bosonic fields. The Gauss-Bonnet term with positive $\alpha$ can play an anti-gravitation role and so this causes to decrease the Hawking-Unruh effect and consequently reduces the entanglement degradation. On the other hand, the suggested higher dimensions for the spacetime, lead to more entanglement degradation by increasing the dimension. There is a dramatic difference between the behaviors of the entanglement in terms of the radius of the horizon for a five-dimensional black hole and that for higher dimensional black holes.