Matteo Polettini - Università di Bologna & INFN # Schnakenberg's network theory revisited: from the minEP principle to spin networks# In a celebrated paper, Julian Schnakenberg proposed a general theory of fluxes of information and conservation laws on a network, identifying the macroscopic external observables which keep a system out of equilibrium. In this talk we show that his observables are indeed the correct constraints to be imposed to Prigogine's minimum entropy production principle. Speculation about the possible quantum version of Schnakenberg's theory leads to the identification of SU(2) spin networks as an useful mathematical instrument -the very same spin networks that have been used by Rasetti in a quantum information perspective to engineer a model of a quantum Turing machine.