Using the Lieb-Robinson inequality and the continuity property of the quantum
capacities in terms of the diamond norm, we derive an upper bound on the values
that these capacities can attain in spin-network communication i.i.d. models of
arbitrary topology. Differently from previous results we make no assumptions on
the encoding mechanisms that the sender of the messages adopts in loading
information on the network.Comment: 9 pages, 1 figur
