Quantum Manybody Systems, Tensor Networks and Neural Networks

In condensed matter physics, finding the wave function of a quantum many-body system is the most important issue. Theoretical development in recent years includes a wave function approximation using a tensor network. At first glance, the tensor network looks very similar to neural network diagrams, but how are they actually related? In this chapter we will see the relation and the mapping, and that the restricted Boltzmann machine is closely related to tensor networks.