Quantum Entanglement and Teleportation in Higher Dimensional Black Hole Spacetimes

TL;DR

This paper investigates how quantum entanglement and teleportation are affected by black hole spacetimes with extra dimensions, revealing degradation of entanglement and teleportation fidelity due to Hawking-Unruh effects.

Contribution

It provides a detailed analysis of entanglement degradation and teleportation fidelity in higher-dimensional black hole backgrounds, incorporating effects of black hole parameters and extra dimensions.

Findings

Entanglement decreases with increasing extra dimensions.

Higher mode frequencies can mitigate entanglement loss.

Teleportation fidelity is reduced by Hawking-Unruh effects.

Abstract

We study the properties of quantum entanglement and teleportation in the background of stationary and rotating curved space-times with extra dimensions. We show that a maximally entangled Bell state in an inertial frame becomes less entangled in curved space due to the well-known Hawking-Unruh effect. The degree of entanglement is found to be degraded with increasing the extra dimensions. For a finite black hole surface gravity, the observer may choose higher frequency mode to keep high level entanglement. The fidelity of quantum teleporation is also reduced because of the Hawking-Unruh effect. We discuss the fidelity as a function of extra dimensions, mode frequency, black hole mass and black hole angular momentum parameter for both bosonic and fermionic resources.