  We apply quantum integration to elementary particle-physics processes. In
particular, we look at scattering processes such as ${\rm e}^+{\rm e}^- \to q
\bar q$ and ${\rm e}^+{\rm e}^- \to q \bar q' {\rm W}$. The corresponding
probability distributions can be first appropriately loaded on a quantum
computer using either quantum Generative Adversarial Networks or an exact
method. The distributions are then integrated sing the method of Quantum
Amplitude Estimation which shows a quadratic speed-up with respect to classical
techniques. In simulations of noiseless quantum computers, we obtain per-cent
accurate results for one- and two-dimensional integration with up to six
qubits. This work paves the way towards taking advantage of quantum algorithms
for the integration of high-energy processes.
