AI RESEARCH
The Feedback Hamiltonian is the Score Function: A Diffusion-Model Framework for Quantum Trajectory Reversal
arXiv CS.LG
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ArXi:2604.21210v1 Announce Type: cross In continuously monitored quantum systems, the feedback protocol of Garc\'ia-Pintos, Liu, and Gorshko reshapes the arrow of time: a Hamiltonian $H_{\mathrm{meas}} = r A / \tau$ applied with gain $X$ tilts the distribution of measurement trajectories, with $X < -2$ producing statistically time-reversed outcomes. Why this specific Hamiltonian achieves reversal, and how the mechanism relates to score-based diffusion models in machine learning, has remained unexplained.