Learning Quantum Data Distribution via Chaotic Quantum Diffusion Model

Fuente: arXiv
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Main Authors: Tran, Quoc Hoan, Chinzei, Koki, Endo, Yasuhiro, Oshima, Hirotaka
Format: Preprint
Published: 2026
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author Tran, Quoc Hoan
Chinzei, Koki
Endo, Yasuhiro
Oshima, Hirotaka
author_facet Tran, Quoc Hoan
Chinzei, Koki
Endo, Yasuhiro
Oshima, Hirotaka
contents Generative models for quantum data pose significant challenges but hold immense potential in fields such as chemoinformatics and quantum physics. Quantum denoising diffusion probabilistic models (QuDDPMs) enable efficient learning of quantum data distributions by progressively scrambling and denoising quantum states; however, existing implementations typically rely on circuit-based random unitary dynamics that can be costly to realize and sensitive to control imperfections, particularly on analog quantum hardware. We propose the chaotic quantum diffusion model, a framework that generates projected ensembles via chaotic Hamiltonian time evolution, providing a flexible and hardware-compatible diffusion mechanism. Requiring only global, time-independent control, our approach substantially reduces implementation overhead across diverse analog quantum platforms while achieving accuracy comparable to QuDDPMs. This method improves trainability and robustness, broadening the applicability of quantum generative modeling.
format Preprint
id arxiv_https___arxiv_org_abs_2602_22061
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Learning Quantum Data Distribution via Chaotic Quantum Diffusion Model
Tran, Quoc Hoan
Chinzei, Koki
Endo, Yasuhiro
Oshima, Hirotaka
Quantum Physics
Machine Learning
Chaotic Dynamics
Generative models for quantum data pose significant challenges but hold immense potential in fields such as chemoinformatics and quantum physics. Quantum denoising diffusion probabilistic models (QuDDPMs) enable efficient learning of quantum data distributions by progressively scrambling and denoising quantum states; however, existing implementations typically rely on circuit-based random unitary dynamics that can be costly to realize and sensitive to control imperfections, particularly on analog quantum hardware. We propose the chaotic quantum diffusion model, a framework that generates projected ensembles via chaotic Hamiltonian time evolution, providing a flexible and hardware-compatible diffusion mechanism. Requiring only global, time-independent control, our approach substantially reduces implementation overhead across diverse analog quantum platforms while achieving accuracy comparable to QuDDPMs. This method improves trainability and robustness, broadening the applicability of quantum generative modeling.
title Learning Quantum Data Distribution via Chaotic Quantum Diffusion Model
topic Quantum Physics
Machine Learning
Chaotic Dynamics
url https://arxiv.org/abs/2602.22061