We propose a quantum version of a generative diffusion model. In this algorithm, artificial neural networks are replaced with parameterized quantum circuits, in order to directly generate quantum states. We present both a full quantum and a latent quantum version of the algorithm; we also present a conditioned version of these models. The models' performances have been evaluated using quantitative metrics complemented by qualitative assessments. An implementation of a simplified version of the algorithm has been executed on real NISQ quantum hardware.
@article{arxiv.2311.15444,
title = {Quantum Diffusion Models},
author = {Andrea Cacioppo and Lorenzo Colantonio and Simone Bordoni and Stefano Giagu},
journal= {arXiv preprint arXiv:2311.15444},
year = {2023}
}