Quantum integration of elementary particle processes

• URL: http://arxiv.org/abs/2201.01547v2
• Date: Thu, 9 Jun 2022 12:31:38 GMT
• Title: Quantum integration of elementary particle processes
• Authors: Gabriele Agliardi, Michele Grossi, Mathieu Pellen, Enrico Prati
• Abstract summary: We apply quantum integration to elementary particle-physics processes. The corresponding probability distributions can be first appropriately loaded on a quantum computer. We obtain per-cent accurate results for one- and two-dimensional integration with up to six qubits.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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.

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