Non-local network coding in interference channels

Network information theory establishes communication protocols among multiple senders and multiple receivers in the presence of correlations introduce noise over a network. We here present a framework of non-local network coding of multiple senders whereby network communication capacities improve over their classical counterparts. The framework exploits a Bell scenario and shows the usefulness of non-local and quantum resources in network information theory. Two-sender and two-receiver interference channels are considered in particular, for which network coding is characterized by two-input and four-outcome Bell scenarios. Resources for the network coding are classified 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.