  We investigate the quantum teleportation between a conformal detector Alice
and an inertial detector Bob in de Sitter space in two schemes, (i) one uses
free scalar modes and (ii) one utilizes cavity to store qubit. We show that the
fidelity of the teleportation is degraded for Bob in both cases. While the
fidelity-loss is due to the Gibbons-Hawking effect associated with his
cosmological horizon in the scheme (i), the entanglement decreases in the
scheme (ii) because the ability to entangle the cavities is reduced by the
spacetime curvature. With a cutoff at Planck-scale, comparing with the standard
Bunch-Davies choice, we also show that the possible Planckian physics cause
extra modifications to the fidelity of the teleportation protocol in both
schemes.
