Optimization of iterative wavefront shaping algorithms for quantum light

Wavefront manipulation and correction using feedback-based optimization have long been employed in optical applications such as microscopy, optical sensing, astronomical imaging, and communication. With recent advances in quantum optics, wavefront correction has become a crucial tool in quantum imaging, quantum communication, and efficient photon coupling. Consequently, understanding the performance of optimization algorithms under low-photon conditions is essential for the effective deployment of quantum optical systems. This study investigates the performance of two algorithms in the photon-counting regime across varying mean photon rates through experiments and numerical simulations. Furthermore, we propose, simulate, and implement a novel, to the best of our knowledge, augmented algorithm that combines the strengths of both methods and is particularly well suited for quantum applications.