JIMWLK on a quantum computer
Anjali A. Agrawal, Evan Budd, Alexander F. Kemper, Vladimir V. Skokov, Andrey Tarasov, Shaswat Tiwari

TL;DR
This paper presents a quantum computing approach to simulate the JIMWLK evolution equation in high-energy QCD, using approximations and a truncated basis to make the problem tractable for quantum algorithms.
Contribution
It introduces a novel quantum simulation method for the JIMWLK equation by reformulating it as a Lindblad master equation and implementing it with a truncated basis and approximations.
Findings
Rapid convergence of dipole expectation values with basis truncation
Successful quantum simulation of Lindblad evolution with a simple truncation
Establishment of a pathway for quantum simulation of high-energy QCD equations
Abstract
We propose a method for solving the Jalilian-Marian-Iancu-McLerran-Weigert-Leonidov-Kovner (JIMWLK) evolution equation on quantum computers. Our approach exploits the reformulation of the JIMWLK equation as a Lindblad master equation governing the rapidity evolution of the hadronic density matrix, as established in prior work. To render the problem tractable for quantum simulation, we introduce several approximations: the two-dimensional transverse plane is reduced to a one-dimensional radial lattice by assuming azimuthal symmetry of the jump operators; the gauge group is restricted to ; and the infinite Wilson lines of the JIMWLK equation are replaced by finite Wilson links along the light-cone direction. The resulting bosonic Hilbert space is truncated using the electric field basis familiar from Hamiltonian lattice gauge theory, with states restricted to angular…
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Taxonomy
TopicsQuantum Computing Algorithms and Architecture · Quantum Chromodynamics and Particle Interactions · High-Energy Particle Collisions Research
