Channel-Constrained Information Scheduling for Quantum Diffusion

arXiv:2609.26273 · quant-ph · Submitted 2026-08-14 · Read on arXiv

quant-ph

Submitted: 2026-08-14

Updated: 2026-08-14

Terminology

• Diffusion Model — 8× in this paper · explained in 8 episodes
• Trace — 7× in this paper · explained in 2 episodes
• Diffusion Models — 4× in this paper · explained in 6 episodes
• Trace Distance — 3× in this paper · explained in 3 episodes
• Benchmark — 2× in this paper · explained in 2 episodes
• Generative Model — 2× in this paper · explained in 2 episodes
• Generative Models — 2× in this paper · explained in 2 episodes
• Adam — 1× in this paper · explained in 2 episodes
• Generalization — 1× in this paper · explained in 13 episodes
• Generative Modeling — 1× in this paper · explained in 3 episodes
• Hilbert Space — 1× in this paper · explained in 2 episodes

Sources

• From Atoms to Entropy: Optimal Noise Allocation for Diffusion Training in the Convex Regime
• Generating quantum ensembles via reverse-time quantum diffusions
• Quantum Generative Diffusion Model: A Fully Quantum-Mechanical Model for Generating Quantum State Ensemble
• Stochastic Schr\"odinger Equations for Quantum Reverse Diffusion
• Measurement-Based Quantum Diffusion Models
• Reverse Test and Characterization of Quantum Relative Entropy
• A new quantum version of f-divergence
• Noise Scheduling as Information-Guided Allocation in Diffusion Training
• Quantum relative entropy for unravelings of master equations
• Local-Time Riemannian Score Matching on the Quantum Pure-State Manifold
• Channel-Constrained Markovian Quantum Diffusion Model from Open System Perspective
• Quantum State Generation with Structure-Preserving Diffusion Model

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