Communication Enhancements through Asymptotically Long Sequences of Noisy Quantum Channels

Conventionally, information suffers from exponential decay in long distance transmission. However, in exciting projects like building the quantum internet, an information carrier has to pass through many intermediate quantum servers before reaching the receiver. Such a goal cannot be achieved without a scheme of reliably transmitting data over a long sequence of noisy channels. Chiribella et al. formulated the second level of quantization of quantum information theory by considering the superposition of quantum trajectories and quantum channels and demonstrated communication advantage of this model. We apply the model further and show the theoretical feasibility of communication through asymptotically many noisy channels.