UXE (Laser Und XFEL Experiment) is a proposed DESY experiment using the European XFEL
electron beam and a high-intensity laser. The experiment’s primary aim is to investigate the
transition from the well-probed perturbative to the non-perturbative Quantum Electrodynamics
regime. In LUXE, positrons are generated and directed towards a four-layered silicon pixel
detector, with occupancies of up to 100 hits/mm2 for the initial phase. Reconstructing tracks
from a substantial set of hits poses a significant challenge for classical computers. To address
this challenge, the novel approach based on formulating the track pattern recognition task as
a quadratic unconstrained binary optimisation (QUBO) problem is adopted. Classically, the
expected performance of a quantum annealer for QUBO problems can be studied using Simulated
Annealing. In this report, the performance of reconstructing tracks from LUXE using Simulated
Annealing is benchmarked against results from a gate-based quantum computing simulator, as
well as against the classical method of employing a Combinatorial Kalman Filter.