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

30 Nov 2020  ·  João Barata, Niklas Mueller, Andrey Tarasov, Raju Venugopalan ·

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.

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High Energy Physics - Theory High Energy Physics - Phenomenology Nuclear Theory Quantum Physics