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Paper · arXiv

Generative Modeling of Quantum Distribution with Functional Flow Matching

The emergence of powerful deep generative models based on diffusion and flow matching has enabled the learning and modeling of complex distributions. Learning quantum distributions, however, remains challenging due to the inherent difficulty of accurately modeling the meaningful physical properties of quantum states. We propose Quantum Flow Matching (QFM), a novel generative model designed to learn quantum distribution by utilizing spin Wigner function and flow matching. By converting density matrix into the spin Wigner function and leveraging functional flow matching to learn distributions in function space, QFM enables accurate and effective learning of multi-qubit quantum distributions...

AuthorsJaehoon Hahm, Tak Hur, Joonseok Lee et al.
Primary categorycs.LG
Published1 July 2026
Last updated at source1 July 2026
cs.LGquant-ph
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