Alice and Bob in an anisotropic expanding spacetime

TL;DR

This paper studies quantum teleportation fidelity between two observers in an anisotropic expanding universe, revealing oscillatory behavior and conditions affecting teleportation efficiency influenced by spacetime anisotropy and expansion rate.

Contribution

It introduces a model analyzing quantum teleportation in anisotropic expanding spacetime and identifies how anisotropy and expansion dynamics impact fidelity.

Findings

Fidelity oscillates with azimuthal angle.

Teleportation efficiency decreases under certain angular conditions.

Anisotropic effects are more significant during smooth expansion and for massless particles.

Abstract

We investigate a quantum teleportation process between two comoving observers Alice and Bob in an anisotropic expanding spacetime. In this model, we calculate the fidelity of teleportation and we noted an oscillation of its spectrum as a function of the azimuthal angle. We found that for the polar angle $\phi = \frac{\pi}{2}$ and the azimuthal angle $\theta \neq \frac{3\pi}{4} + n\pi$ with $n = 0, 1, 2, ...$ the efficiency of the process decreases, i.e., the fidelity is less than one. In addition, it is shown that the anisotropic effects on the fidelity becomes more significative in the regime of smooth expansion and the limit of massless particles. On the other hand, the influence of curvature coupling becomes noticeable in the regime of fast expansion (values of $\frac{\rho}{\omega} \gg 1$).