Single-particle digitization strategy for quantum computation of a ϕ4 scalar field theory

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 ${\ensuremath{\phi}}^{4}$ field theory. We work out quantum algorithms for initial state preparation, time evolution, and final state measurements. We outline a nonperturbative renormalization strategy in this single-particle framework.