  In a network, a channel introduces correlations to the parties that aim to
establish a communication protocol. In this work, we present a framework of
non-local network coding by exploiting a Bell scenario and show the usefulness
of non-local and quantum resources in network coding. Two-sender and
two-receiver interference channels are considered, for which network coding is
characterized by two-input and four-outcome Bell scenarios. It is shown that
non-signaling (quantum) correlations lead to strictly higher channel capacities
in general than quantum (local) correlations. It is also shown that, however,
more non-locality does not necessarily imply a higher channel capacity. The
framework can be generally applied to network communication protocols.
