Author

Henry D. Pfister

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Preprint Sep 2026

Quantum Message Passing Convergence and Vanishing Block-Error Probability for Random LDPC Codes

Belief propagation with quantum messages (BPQM) is a quantum algorithm that decodes classical codes transmitted over classical--quantum channels. It realizes optimal decoding on tree factor graphs over pure-state classical-quantum channels. However, this tree-based analysis does not ensure vanishing block-error probabi...

Avijit Mandal, C. Piveteau, J. Renes et al. · 1 citation

Jul 2026

Conservation Laws for Diffusion Models

While autoregressive models optimize the exact data likelihood via the chain rule, diffusion models are typically trained with denoising objectives. We develop conservation laws based on generalized extrinsic information transfer (GEXIT) functions for a broad class of memoryless noise processes, showing that the data--...

Ziv Aharoni, Henry D. Pfister · arXiv.org · 0 citations