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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 φ⁴ 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.

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