Why tensor networks?

The ground state of a Hamiltonian is a most suitable state to play with if one is interested in seeing quantum mechanics effects. These kinds of states naturally appear in a special "region" of the tensor space, namely on/very close to Tensor Network varieties. I would like to illustrate these connections and, in dependence on the time, to show one of the few examples where all the construction is exactly possibile, namely the so-called AKLT model.