Quantum-Enhanced Sampling of Schr"odinger Bridges

arXiv:2609.27103 · quant-ph, math.OC, math.PR · Submitted 2026-09-22 · Read on arXiv

quant-ph, math.OC, math.PR

Submitted: 2026-09-22

Updated: 2026-09-22

Terminology

• Spectral Gap — 23× in this paper · explained in 5 episodes
• Accuracy — 16× in this paper · explained in 1 episode
• Optimal Transport — 6× in this paper · explained in 5 episodes
• Calibration — 4× in this paper · explained in 7 episodes
• Generative Modeling — 4× in this paper · explained in 3 episodes
• Diffusion Processes — 2× in this paper · explained in 2 episodes
• Hilbert Space — 2× in this paper · explained in 2 episodes
• Symposium on Foundations of Computer Science — 2× in this paper
• Hallucination — 1× in this paper · explained in 4 episodes
• Quantum Circuits — 1× in this paper · explained in 2 episodes
• Robustness — 1× in this paper · explained in 5 episodes

Sources

• Schr\"odinger Bridge Samplers
• A simple algorithm to reflect through eigenspaces of unitaries
• Quantum Circuits for the Metropolis-Hastings Algorithm
• Quantum singular value transformation and beyond: exponential improvements for quantum matrix arithmetics
• From (Martingale) Schrodinger bridges to a new class of Stochastic Volatility Models
• Schr\"oMind: Mitigating Hallucinations in Multimodal Large Language Models via Solving the Schr\"odinger Bridge Problem
• Foundations of Schr\"odinger Bridges for Generative Modeling

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