Indefinite causal order enables perfect quantum communication with zero capacity channels

Abstract Quantum mechanics is compatible with scenarios where the relative order between two events can be indefinite. Here we show that independent instances of a noisy process behave as perfect quantum communication channel when used in coherent superposition alternative orders. This phenomenon occurs even if original has zero capacity to transmit information. In contrast, does not occur message sent directly from sender receiver through paths, an noise acting on each path. The possibility channels highlights fundamental difference orders time and paths space.