Speaker
Description
With the future Electron Ion Collider on the horizon, Generalized Parton Distributions (GPDs) have attracted significant interest over the past years. As a tool to map out the three-dimensional structure of hadrons, they offer unique opportunities to study Quantum Chromodynamics (QCD) and complex partonic correlators at non-perturbative scales. However, their experimental extraction is complicated by the deconvolution problem, model dependence, and the limited reach of current lattice calculations. Quantum computers, including qudit-based architectures, offer a potential route to study such observables in a controlled setting.
In this talk, I present an 8-dimensional qudit formulation of the $SU(3)$ color structure of QCD$_{1+1}$ on a lattice. After introducing the baryon and boost operators, I show how the off-forward matrix elements relevant for GPDs can be measured directly on quantum hardware, avoiding an explicit deconvolution step in this framework. I validate the approach using state-of-the-art tensor network simulations, estimate the resource requirements, and feasibility of the required measurements on current and near-term quantum devices.