Single-particle digitization strategy for quantum computation of a <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msup><mml:mi>ϕ</mml:mi><mml:mn>4</mml:mn></mml:msup></mml:math> scalar field theory
João Barata, Niklas Mueller, Andrey Tarasov, Raju Venugopalan
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.
Topics & Concepts
RenormalizationPhysicsDigitizationQuantum computerComputationQuantum field theoryScalar (mathematics)QuantumQuantum mechanicsComputer scienceAlgorithmMathematicsGeometryComputer visionParticle physics theoretical and experimental studiesQuantum Chromodynamics and Particle InteractionsHigh-Energy Particle Collisions Research