  Counter-intuitively, quantum mechanics enables quantum particles to propagate
simultaneously among multiple space-time trajectories. Hence, a quantum
information carrier can travel through different communication channels in a
quantum superposition of different orders, so that the relative time-order of
the communication channels becomes indefinite. This is realized by utilizing a
quantum device known as quantum switch. In this paper, we investigate, from a
communication-engineering perspective, the use of the quantum switch within the
quantum teleportation process, one of the key functionalities of the Quantum
Internet. Specifically, a theoretical analysis is conducted to quantify the
performance gain that can be achieved by employing a quantum switch for the
entanglement distribution process within the quantum teleportation with respect
to the case of absence of quantum switch. This analysis reveals that, by
utilizing the quantum switch, the quantum teleportation is heralded as a
noiseless communication process with a probability that, remarkably and
counter-intuitively, increases with the noise levels affecting the
communication channels considered in the indefinite-order time combination.
