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

2020/12/31 by João Barata, Niklas Mueller, Andrey Tarasov +1
Mathematics · Physics and Astronomy · #Algorithm #Computation #Computer science #Digitization #Geometry #High-Energy Particle Collisions Research #Mathematics #Particle physics theoretical and experimental studies #Physics #Quantum #Quantum Chromodynamics and Particle Interactions #Quantum computer #Quantum field theory #Quantum mechanics #Renormalization #Scalar (mathematics) #hep-ph #hep-th #nucl-th #quant-ph

paper · pdf · doi:10.1103/physreva.103.042410

published as Phys. Rev. A 103, 042410 (2021) · 31 pages, 13 figures; journal version published in Phys. Rev. A 103, 042410 (2021); Table I modified to to include more precise estimate for cost of initial state preparation; Appendix B (discussion of state preparation) significantly extended & figures 10 and 11 added

openalex created_date 2020/12/07 · openalex publication_date 2021/04/08 · arxiv created 2021/04/14 · arxiv updated 2021/04/15 · openalex updated_date 2026/08/05

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 \ensuremathφ⁴ 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.

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