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# 🔄 Quantum Diffusion Models (QDiffusion) Papers

This section of the **Quantum AI Papers** repository focuses on **Quantum Diffusion Models (QDiffusion)**.  
QTL leverages knowledge from pre-trained quantum or hybrid quantum-classical models and adapts it to new tasks or domains. This paradigm plays a crucial role in overcoming limitations of small datasets, reducing training costs, and accelerating the deployment of quantum-enhanced AI systems.

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## 📚 Scope
Research papers in this category explore:
- Transfer of learned quantum circuit parameters between tasks  
- Hybrid classical–quantum transfer learning frameworks  
- Applications of QTL in physics, chemistry, medical imaging, and natural language processing  
- Optimization strategies to mitigate issues such as barren plateaus  
- Cross-domain transfer of quantum models for practical real-world problems

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## 🗂️ Papers List

| title                                                                                                                  |   year | publisher                                                                                               | Author                                                                                                         | link                                                                                                           | category   |
|:-----------------------------------------------------------------------------------------------------------------------|-------:|:--------------------------------------------------------------------------------------------------------|:---------------------------------------------------------------------------------------------------------------|:---------------------------------------------------------------------------------------------------------------|:-----------|
| Quantum diffusion and large primordial perturbations from inflation                                                    |   2024 | arXiv                                                                                                   | Vennin, Vincent, and David Wands.                                                                              | https://arxiv.org/abs/2402.12672                                                                               | Qdiffusion |
| Asymptotic analysis of time-fractional quantum diffusion                                                               |   2024 | Applied Mathematics Letters                                                                             | Hislop, Peter D., and Eric Soccorsi.                                                                           | https://www.sciencedirect.com/science/article/abs/pii/S0893965924000533                                        | Qdiffusion |
| Quantum Denoising Diffusion Models                                                                                     |   2024 | arXiv                                                                                                   | Kölle, Michael, et al.                                                                                         | https://arxiv.org/abs/2401.07049                                                                               | Qdiffusion |
| Corrections to Diffusion in Interacting Quantum Systems                                                                |   2024 | Physical Review X                                                                                       | Michailidis, Alexios A., Dmitry A. Abanin, and Luca V. Delacrétaz.                                             | https://journals.aps.org/prx/abstract/10.1103/PhysRevX.14.031020                                               | Qdiffusion |
| Generative quantum machine learning via denoising diffusion probabilistic models.                                      |   2024 | Physical Review Letters                                                                                 | Zhang, Bingzhi, et al.                                                                                         | https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.132.100602                                           | Qdiffusion |
| Two quantum algorithms for solving the one-dimensional advection–diffusion equation                                    |   2024 | Computers & Fluids                                                                                      | Ingelmann, Julia, et al.                                                                                       | https://www.sciencedirect.com/science/article/pii/S0045793024002019                                            | Qdiffusion |
| Clustering of primordial black holes from quantum diffusion during inflation                                           |   2024 | arXiv                                                                                                   | Animali, Chiara, and Vincent Vennin.                                                                           | https://arxiv.org/abs/2402.08642                                                                               | Qdiffusion |
| Quantum circuit synthesis with diffusion models                                                                        |   2024 | Nature Machine Intelligence                                                                             | Fürrutter, Florian, Gorka Muñoz-Gil, and Hans J. Briegel.                                                      | https://www.nature.com/articles/s42256-024-00831-9                                                             | Qdiffusion |
| Quantum State Generation with Structure-Preserving                                                                     |   2024 | arXiv                                                                                                   | Zhu, Yuchen, et al.                                                                                            | https://arxiv.org/abs/2404.06336                                                                               | Qdiffusion |
| Diffusion Model                                                                                                        |        |                                                                                                         |                                                                                                                |                                                                                                                |            |
| variational Quantum Simulation of Lindblad Dynamics via Quantum State Diffusion                                        |   2024 | The Journal of Physical Chemistry Letters                                                               | Luo, Jianming, Kaihan Lin, and Xing Gao.                                                                       | https://pubs.acs.org/doi/10.1021/acs.jpclett.4c00576                                                           | Qdiffusion |
| Quantum diffusion models for quantum data learning in                                                                  |   2024 | nan                                                                                                     | Cacioppo, Andrea, et al.                                                                                       | https://indico.qtml2024.org/event/1/contributions/178/attachments/178/183/QuantumDiffusion_forHEP_QTML2024.pdf | Qdiffusion |
| high-energy physics                                                                                                    |        |                                                                                                         |                                                                                                                |                                                                                                                |            |
| Diffusion quantum Monte Carlo approach to the polaritonic ground state                                                 |   2024 | Physical Review A                                                                                       | Weight, Braden M., Sergei Tretiak, and Yu Zhang.                                                               | https://journals.aps.org/pra/abstract/10.1103/PhysRevA.109.032804                                              | Qdiffusion |
| Diffusion, Long-Time Tails, and Localization in Classical and Quantum Lorentz Models: A Unifying Hydrodynamic Approach |   2024 | arXiv                                                                                                   | Kirkpatrick, T. R., and D. Belitz.                                                                             | https://arxiv.org/abs/2409.08123                                                                               | Qdiffusion |
| Quantum diffusion in sharp transition to non-slow-roll phase                                                           |   2022 | Journal of Cosmology and Astroparticle Physics                                                          | Nahid Ahmadi1, Mahdiyar Noorbala1,2, Niloufar Feyzabadi1, Fatemeh Eghbalpoor1 and Zahra Ahmadi                 | https://iopscience.iop.org/article/10.1088/1475-7516/2022/08/078/meta                                          | Qdiffusion |
| Variational quantum solutions to the advection–diffusion equation for applications in fluid dynamics                   |   2022 | Quantum Information Processing                                                                          | Reuben Demirdjian, Daniel Gunlycke, …Sergio Tafur                                                              | https://link.springer.com/article/10.1007/s11128-022-03667-7                                                   | Qdiffusion |
| Learning Quantum Drift-Diffusion Phenomenon by Physics-Constraint Machine Learning                                     |   2022 | IEEE/ACM Transactions                                                                                   | Chun Li School of Science, Harbin Institute of Technology, Shenzhen, China ; Yunyun Yang; Hui Liang; Boying Wu | https://ieeexplore.ieee.org/abstract/document/9751143                                                          | Qdiffusion |
| Many-Body Quantum State Diffusion for Non-Markovian Dynamics in Strongly Interacting Systems                           |   2022 | Phys. Rev. Lett. 128                                                                                    | S. Flannigan, F. Damanet, and A. J. Daley                                                                      | https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.128.063601                                           | Qdiffusion |
| Research on Quantum Communication Technology Based on Markov's Quantum Diffusion                                       |   2022 | 2022 2nd International Signal Processing, Communications and Engineering Management Conference (ISPCEM) | Wenyu Hu; Min Nie                                                                                              | https://ieeexplore.ieee.org/abstract/document/10070269                                                         | Qdiffusion |
| Diffusion Monte Carlo approaches for studying nuclear quantum effects in fluxional molecules                           |   2022 | WIREs Computational Molecular Science                                                                   | Ryan J. DiRisio, Jacob M. Finney, Anne B. McCoy                                                                | https://wires.onlinelibrary.wiley.com/doi/abs/10.1002/wcms.1615                                                | Qdiffusion |
| Diffusion Quantum-Least Mean Square Algorithm with Steady-State Analysis                                               |   2022 | Circuits, Systems, and Signal Processing                                                                | Muhammad Arif, Muhammad Moinuddin, Imran Naseem, Abdulrahman U. Alsaggaf & Ubaid M. Al-Saggaf                  | https://link.springer.com/article/10.1007/s00034-021-01934-z                                                   | Qdiffusion |
| Modeling quantum diffusion in linear aggregates coupled to colored noise baths                                         |   2022 | Bachelor's Thesis, Physics.                                                                             | Wobben, Hans Douwe                                                                                             | https://fse.studenttheses.ub.rug.nl/27743/                                                                     | Qdiffusion |
| Quantum-Noise-Driven Generative Diffusion Models                                                                       |   2024 | Advanced Quantum Technologies                                                                           | Parigi, Marco, Stefano Martina, and Filippo Caruso.                                                            | https://onlinelibrary.wiley.com/doi/abs/10.1002/qute.202300401                                                 | Qdiffusion |
| Quantum Generative Diffusion Model: A Fully                                                                            |   2024 | arXiv                                                                                                   | vennin, Vincent, and David Wands.                                                                              | https://arxiv.org/abs/2401.07039                                                                               | Qdiffusion |
| Quantum-Mechanical Model for Generating                                                                                |        |                                                                                                         |                                                                                                                |                                                                                                                |            |
| Quantum State Ensemble                                                                                                 |        |                                                                                                         |                                                                                                                |                                                                                                                |            |
| Towards Efficient Quantum Hybrid Diffusion Models                                                                      |   2024 | arXiv                                                                                                   | De Falco, Francesca, et al.                                                                                    | https://arxiv.org/pdf/2402.16147                                                                               | Qdiffusion |

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## 🔗 Cross-References
- [Quantum Computing Fundamentals](https://github.com/Q-brain/awesome-QAI-Papers-QComputing)  
- [Quantum Machine Learning](https://github.com/Q-brain/awesome-QAI-Papers-QML)  
- [Quantum Neural Networks and Quantum Recurrent Neural Networks](https://github.com/Q-brain/awesome-QAI-Papers-QNN-QRNN)  
- [Quantum Convolutional Neural Networks](https://github.com/Q-brain/awesome-QAI-Papers-QCNN)  
- [Quantum Reinforcement Learning](https://github.com/Q-brain/awesome-QAI-Papers-QRL)  
- [Quantum Generative Models](https://github.com/Q-brain/awesome-QAI-Papers-QGenerative)  
- [Quantum Diffusion Models](https://github.com/Q-brain/awesome-QAI-Papers-QDiffusion)  
- [Quantum Graph Learning](https://github.com/Q-brain/awesome-QAI-Papers-QGraph)  
- [Quantum Natural Language Processing](https://github.com/Q-brain/awesome-QAI-Papers-QText)  
- [Quantum Transfer Learning](https://github.com/Q-brain/awesome-QAI-Papers-QTL)   
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## 🤝 Contributions
Contributions are welcome! Please ensure that new entries include:
1. Correct metadata (title, year, authors, publisher, link)  
2. Category tag (`QDiffusion`)  
3. Optional short summary of the contribution

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