Single-particle digitization strategy for quantum computation of a $\phi^4$ scalar field theory

TL;DR

This paper presents a novel single-particle digitization method for simulating relativistic scattering in scalar 4 field theory on quantum computers, including algorithms for state prep, evolution, and measurement.

Contribution

It introduces a new single-particle digitization approach and non-perturbative renormalization strategy for quantum simulation of 4 field theory.

Findings

Developed quantum algorithms for state preparation, evolution, and measurement.

Outlined a non-perturbative renormalization method within the single-particle framework.

Provides a foundation for efficient quantum simulation of relativistic scattering processes.

Abstract

Motivated by the parton picture of high energy quantum chromodynamics, we develop a single-particle digitization strategy for the efficient quantum simulation of relativistic scattering processes in a $d+1$ dimensional scalar $\phi^4$ field theory. We work out quantum algorithms for initial state preparation, time evolution and final state measurements. We outline a non-perturbative renormalization strategy in this single-particle framework.