A general approach to quantum integration of cross sections in high-energy physics

TL;DR

This paper introduces a quantum Monte Carlo integration method for high-energy physics cross sections, achieving quadratic speed-up over classical methods by utilizing quantum circuits, demonstrated on a decay process example.

Contribution

It develops a universal quantum integration framework for cross sections, leveraging Fourier quantum Monte Carlo and quantum circuits for improved efficiency.

Findings

Quadratic speed-up in error convergence compared to classical methods

Implementation of quantum circuits for generic cross-section calculations

Application to a 1→3 decay process example

Abstract

We present universal building blocks for the quantum integration of generic cross sections in high-energy physics. We make use of Fourier quantum Monte Carlo integration (MCI) as implemented in Quantinuum's quantum MCI engine to provide an extendable methodology for generating efficient circuits that can implement generic cross-section calculations, providing a quadratic speed-up in root mean-squared error convergence with respect to classical MCI. We focus on a concrete example of a $1 \to 3$ decay process to illustrate our work.