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In theories of communication, it is usually presumed that the involvedparties perform actions in a fixed causal order. However, practical andfundamental reasons can induce uncertainties in the causal order. Here we showthat a maximal uncertainty in the causal order forbids asymptotic quantumcommunication, while still enabling the noisy transfer of classicalinformation. Therefore causal order, like shared entanglement, is an additionalresource for communication. The result is formulated within an asymptoticsetting for processes with no fixed causal order, which sets a basis for aquantum information theory in general quantum causal structures.

Causal order as a resource for quantum communication