Would the fidelity of quantum teleportation be increased by a local filtering operation near a dilaton black hole under decoherence?

Abstract Previous studies have shown that the effects of black holes and environmental decoherence generally negatively influence quantum correlations and the fidelity of quantum teleportation in curved spacetime. In our paper, we find that as the dilaton parameter increases, the fidelity of quantum teleportation can either decrease or increase, which suggests that even in the presence of system-environment coupling, the dilaton effect of black hole can positive influence teleportation fidelity; specifically, the dilaton effect can create net fidelity in quantum teleportation under decoherence. This interesting result challenges the long-held belief that the effects of black holes and environmental decoherence can only reduce the fidelity of quantum teleportation. Additionally, we observe an unreported result: if the fidelity of quantum teleportation remains in the classical region, it can be transformed into the quantum region by utilizing a local filtering operation, thereby achieving better fidelity than classical communication. This impressive result may provide new insights for developing an experimental scheme to effectively implement quantum teleportation in the context of dilaton black holes under decoherence.