  The framework of distributed computing, consisting of several spatially
separated input-output servers, has immense importance in distant data
manipulation. One of the most challenging parts of this setting is to optimize
the use of information transmission lines among distant servers. In this work,
we have modeled such a physically motivated distributed computing setup for
which quantum communication outperforms its classical counterpart, in terms of
a limited usage of noiseless transmission lines. Moreover, a broader class of
communication entities, that allow state-effect description more exotic than
quantum and are described within the framework of generalized probabilistic
theory, also fail to meet the strength of quantum theory. The computational
strength of quantum communication has further been justified in terms of a
stronger version of this task, namely the delayed-choice distributed
computation. The proposed task thus provides a new approach to operationally
single out quantum theory in the theory-space and hence promises a novel
perspective towards the axiomatic derivation of Hilbert space quantum
mechanics.
