  Principle of information causality, proposed as a generalization of no
signaling principle, has efficiently been applied to outcast beyond quantum
correlations as unphysical. In this letter we show that this principle when
utilized properly can provide physical rationale towards structural derivation
of multipartite quantum systems. In accordance with no signaling condition
state and effect spaces of a composite system can allow different possible
mathematical descriptions even when description for the individual systems are
assumed to be quantum. While in one extreme, namely the maximal tensor product
composition, the state space becomes quite exotic and permits composite states
that are not allowed in quantum theory, the other extreme -- minimal tensor
product composition -- contains only separable states and the resulting theory
allows only Bell local correlation. As we show, none of these compositions does
commensurate with information causality, and hence get invalidated to be the
bona-fide description of nature. Information causality, therefore, promises
information theoretic derivation of self-duality of state and effect cones for
composite quantum systems.
