Future quantum computers can be a promising tool to solve problems exponentially hard for classical computers, among which are the real-time simulations of quantum many-body systems. In this talk, I will review why and how we can use them for the real-time simulations of gauge theories in particle physics, and present our recent works to accelerate it by reducing errors from space-time discretization and quantum noise. (2107.01166, 2203.02823, 2208.10417, and work to-appear)