Quantum computers are expected to give major speed-ups for the simulation of quantum systems. On the other hand, Monte Carlo simulations are the backbones of scattering experiments. In this presentation, I will first explain how quantum Monte Carlo simulations can be realised for high-energy scatterings and show quadratic improvements. In this context, I will then discuss the quantum implementation of the colour part of Feynman amplitudes. These works constitute important steps towards a quantum simulation of generic scattering processes in perturbative QCD.
