arXiv Machine Learning By Tianhao Guo, Dianxin Zheng, Yuhua Qian, Yaohui Zheng, Yuzhi Yang, Merouane Debbah, Chau Yuen

Leveraging Quantum Measurement Randomness for Shot-Efficient Diffusion Models

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The paper proposes using the inherent shot‑noise from quantum measurements as a resource for diffusion models, replacing part of the stochastic noise normally injected during generation. By modeling measurement error as multinomial sampling noise and mapping the diffusion process onto a bounded hyperplane, the authors derive a state‑dependent adaptive shot budget that matches the mean and covariance of a shot‑noise‑free update. Experiments on an eight‑dimensional Gaussian mixture and MNIST latent diffusion demonstrate that this approach achieves comparable generation quality with dramatically fewer shots—down to 303 shots per sample versus 1.6 × 10⁶ in a high‑shot baseline.

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