Google AI blog has just [announced](https://ai.googleblog.com/2019/06/introducing-tensornetwork-open-source.html) TensorNetwork, a library on top Tensorflow enabling important speedups of tensor network calculations with applications in Physics and Machnie Learning. Since Penrose's Tensor Networks are one avatar of the theory of Monoidal Categories, this allows one to experiment with this higher abstractions via hardware accelerated calculations.