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Bosonic Continuous Variable Quantum Computing
Qubit Coherence Noise Stability Characterization
Entanglement Theory Quantum Correlations
Quantum Simulation
Quantum Diffusion Models: Score Reversal Is Not Free in Gaussian Dynamics
arXiv
Authors: Ammar Fayad
Year
2026
Paper ID
28678
Status
Preprint
Abstract Read
~2 min
Abstract Words
71
Citations
N/A
Abstract
Diffusion-based generative modeling suggests reversing a noising semigroup by adding a score drift. For continuous-variable Gaussian Markov dynamics, complete positivity couples drift and diffusion at the generator level. For a quantum-limited attenuator with thermal parameter ν and squeezing r, the fixed-diffusion Wigner-score (Bayes) reverse drift violates CP iff cosh(2r)>ν. Any Gaussian CP repair must inject extra diffusion, implying -2ln Fge cgeom\(νmin\)Idecwc.
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- Diffusion-based generative modeling suggests reversing a noising semigroup by adding a score drift.
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