Quantum MeanFlow: single-shot generative sampling on NISQ hardware

arXiv:2609.02186 · quant-ph, cs.LG · Submitted 2026-09-02 · Read on arXiv

quant-ph, cs.LG

Submitted: 2026-09-02

Updated: 2026-09-02

Comments: 17 pages, 6 figures

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Flow Matching — 21× in this paper · explained in 7 episodes
• Accuracy — 20× in this paper · explained in 1 episode
• Diffusion Model — 9× in this paper · explained in 8 episodes
• Diffusion Models — 9× in this paper · explained in 6 episodes
• International Conference on Learning Representations — 6× in this paper
• Generative Model — 5× in this paper · explained in 2 episodes
• Generative Modeling — 5× in this paper · explained in 3 episodes
• Generative Models — 4× in this paper · explained in 2 episodes
• In International Conference on Machine Learning — 3× in this paper
• Latent Space — 3× in this paper · explained in 7 episodes
• Loss Function — 3× in this paper · explained in 2 episodes
• Normalizing Flow — 3× in this paper · explained in 3 episodes
• Quantum Circuits — 3× in this paper · explained in 2 episodes
• AdamW Optimizer — 2× in this paper · explained in 1 episode
• Entanglement — 2× in this paper · explained in 3 episodes
• Fidelity — 2× in this paper · explained in 2 episodes
• Rectified Flow — 2× in this paper · explained in 3 episodes
• Robustness — 2× in this paper · explained in 5 episodes
• Benchmark — 1× in this paper · explained in 2 episodes
• Benchmarking — 1× in this paper · explained in 3 episodes
• Best-of-N Sampling — 1× in this paper · explained in 2 episodes
• Consistency — 1× in this paper · explained in 3 episodes
• Distillation — 1× in this paper · explained in 2 episodes
• Generative Adversarial Networks (GANs) — 1× in this paper · explained in 3 episodes
• Latent Diffusion Model — 1× in this paper · explained in 2 episodes
• Latent Diffusion Models — 1× in this paper · explained in 2 episodes
• Normalizing Flows — 1× in this paper · explained in 4 episodes
• Scaffolding — 1× in this paper · explained in 3 episodes
• Variational Bayes — 1× in this paper · explained in 2 episodes
• World Premier International Research Center Initiative — 1× in this paper

Sources

• An Introduction to Flow Matching and Diffusion Models
• Quantum Diffusion Models
• Quantum Flow Matching
• Generative Modeling of Quantum Distribution with Functional Flow Matching
• Hybrid Quantum-Classical Normalizing Flow

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