We will discuss three different aspects in the simulation of lattice gauge theories:
(1) we will see how tensor network methods allow to have access to real-time dynamics in these systems
(2) we will see how non-perturbative matrix elements (PDF, TMD,...), that are non local in both space and real-time and are essential to describe the scattering in particle physics, can be obtained from a quantum simulator
(3) we will mention ways to prepare non-trivial many-body quantum states in gauge invariant models
