  Quantum computers are expected to give major speed-ups for the simulation of
quantum systems. In this work, we present quantum gates that simulate the
colour part of the interactions of quarks and gluons in perturbative quantum
chromodynamics (QCD). As a first application, we implement these circuits on a
simulated noiseless quantum computer and use them to calculate colour factors
for various examples of Feynman diagrams. This work constitutes a first key
step towards a quantum simulation of generic scattering processes in
perturbative QCD.
