Speaker
Description
Understanding the dynamics of QCD at high energy or small Bjorken x is crucial for describing gluon saturation and non-linear interactions within hadronic wave functions. This regime, characterized by high gluon densities, pushes QCD into a dense domain where standard techniques are insufficient. Evolution equations like the JIMWLK equation capture this behavior. While the leading-order (LO) JIMWLK admits a formulation as a Langevin equation, allowing for classical simulations, the next-to-leading order (NLO) JIMWLK remains a significant computational challenge.
Recently, it was shown that the JIMWLK equation for hadronic density matrices can be expressed as a Lindblad equation, enabling formulation as a quantum simulation of an open quantum system. This work maps the functional problem to a simplified toy quantum system in zero dimensions. It proposes a quantum algorithm to solve the Lindblad-JIMWLK equation in this reduced setting.
