Quantum-Assisted Learning of Time-Dependent Parabolic PDEs
Fuente:
arXiv
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866914002526797824 |
|---|---|
| author | Dehaghani, Nahid Binandeh Tran, Ban Aguiar, A. Pedro Wisniewski, Rafal Mengel, Susan |
| author_facet | Dehaghani, Nahid Binandeh Tran, Ban Aguiar, A. Pedro Wisniewski, Rafal Mengel, Susan |
| contents | We present a hybrid quantum-classical framework for solving general time-dependent parabolic partial differential equations (PDEs) using quantum variational circuits. Building on the QPINN approach, this method applies broadly to parabolic PDEs. To demonstrate its effectiveness, we focus on the 1D and 2D heat equations as representative examples and analyze its performance under constrained quantum resources. Our results show that the framework can accurately capture spatiotemporal dynamics, offering a promising direction for quantum-assisted scientific computing. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_17553 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quantum-Assisted Learning of Time-Dependent Parabolic PDEs Dehaghani, Nahid Binandeh Tran, Ban Aguiar, A. Pedro Wisniewski, Rafal Mengel, Susan Quantum Physics We present a hybrid quantum-classical framework for solving general time-dependent parabolic partial differential equations (PDEs) using quantum variational circuits. Building on the QPINN approach, this method applies broadly to parabolic PDEs. To demonstrate its effectiveness, we focus on the 1D and 2D heat equations as representative examples and analyze its performance under constrained quantum resources. Our results show that the framework can accurately capture spatiotemporal dynamics, offering a promising direction for quantum-assisted scientific computing. |
| title | Quantum-Assisted Learning of Time-Dependent Parabolic PDEs |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2508.17553 |