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Paper · arXiv

Diffusion Language Models as Open Quantum Systems

Diffusion language models generate text by reversing a classical diffusion process over token sequences. We show that their continuous-time forward and reverse dynamics can be embedded in the framework of open quantum systems, which describes quantum systems interacting with their environment. This connection provides a basis for extending diffusion sampling to superpositions of sentence states and for modifying the underlying generation dynamics. We construct a $τ$-leaping unraveling scheme that simulates stochastic trajectories of these states while updating multiple token positions at each step. This enables generation conditioned on superposed prompts or thoughts, which we call Superp...

AuthorsAkinori Tanaka, Yukinao Akamatsu, Takuki Tomita et al.
Primary categorycs.LG
Published15 October 2026
Last updated at source15 October 2026
cs.LGcs.CLquant-ph
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