Multipartite information causality

As a physical principle, information causality has thus far only been studied by using bipartite protocols. In this paper, we consider information causality in multireceiver random access codes, in which no receiver can gain any information only from classical communication. To precisely distinguish physical correlations from nonphysical ones, information causality in the multipartite scenario can be stated as follows: The information gain of total receivers cannot be greater than the amount of classical communication. Operationally, the distributive multiparty physical nonlocal resource can be exploited only for information splitting, rather than for accessing more information. Multipartite information causality is demonstrated to yield entanglement monogamy.