English

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

High Energy Physics - Theory 2021-04-15 v3 High Energy Physics - Phenomenology Nuclear Theory Quantum Physics

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+1d+1 dimensional scalar ϕ4\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.

Keywords

Cite

@article{arxiv.2012.00020,
  title  = {Single-particle digitization strategy for quantum computation of a $\phi^4$ scalar field theory},
  author = {João Barata and Niklas Mueller and Andrey Tarasov and Raju Venugopalan},
  journal= {arXiv preprint arXiv:2012.00020},
  year   = {2021}
}

Comments

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