Quantum Computing Hadron Fragmentation Functions in Light-Front Chromodynamics

Abstract

We deploy Quantum Chromodynamics (QCD) in Light-front Quantization (and Gauge), discretized and truncated in both Fock -- and momentum -- spaces with a particle-register encoding suited for quantum simulation; we show for the first time how to calculate fragmentation functions, a problem heretofore untractable in general from \emph{ab-initio} approaches. We provide a classical-simulator based proof-of-concept by computing the charm-to-charmonium fragmentation, $c\to J/\psi$, in a simplified setup, an interesting case where we can (reasonably) compare with the known 1993 perturbative evaluation within Nonrelativistic QCD.