Quantum teleportation in expanding FRW universe

TL;DR

This paper explores how cosmic expansion in FRW universes influences quantum teleportation fidelity, revealing that spacetime curvature and expansion rate significantly impact quantum information transfer.

Contribution

It introduces a field-theoretical analysis of quantum teleportation in expanding cosmological backgrounds, highlighting the effects of curvature and expansion on teleportation fidelity.

Findings

Spacetime curvature affects quantum teleportation fidelity.

Expansion rate influences mode mixing and entanglement.

Comparison with Minkowski space shows degradation of quantum information.

Abstract

We investigate the process of quantum teleportation in an expanding universe modeled by Friedmann-Robertson-Walker spacetime, focusing on two cosmologically relevant scenarios: a power-law expansion and the de Sitter universe. Adopting a field-theoretical approach, we analyze the quantum correlations between two comoving observers who share an entangled mode of a scalar field. Using the Bogoliubov transformation, we compute the teleportation fidelity and examine its dependence on the expansion rate, initial entanglement, and the mode frequency. Our findings indicate that spacetime curvature and the underlying cosmological background significantly affect the efficiency of quantum teleportation, particularly through mode mixing and vacuum structure. We also compare our results with the flat Minkowski case to highlight the role of cosmic expansion in degrading or preserving quantum information.