Dataset Open Access
Dataset Tensor-Programmable Quantum Circuits for Solving Differential Equations
Pia Siegl;
Greta Sophie Reese;
Tomohiro Hashizume;
Nis-Luca van Hülst;
Dieter Jaksch
Citation Style Language JSON Export
{"DOI":"10.25592/uhhfdm.18010","abstract":"<p>We used a self-written Julia library to find unitary approximations of</p>\n\n<p>matrix product operators (MPO). We implemented the variational quantum algorithms in python,</p>\n\n<p>using pennylane, pyTorch and Jax.</p>\n\n<p> </p>\n\n<p>This dataset contains: </p>\n\n<p>- Unitaries that represent the MPO operators</p>\n\n<p>- Weights for all time steps parametrizing the solution of the linear Euler equation, the Burgers’</p>\n\n<p> equation and the Advection-Diffusion equation.</p>\n\n<p>- Weights encoding the initial condition for the the Burgers’ equation and the Advection-Diffusion </p>\n\n<p> equation.</p>\n\n<p>- Data used for Fig.4, Fig.7 , Fig.8</p>","author":[{"family":"Pia Siegl"},{"family":"Greta Sophie Reese"},{"family":"Tomohiro Hashizume"},{"family":"Nis-Luca van H\u00fclst"},{"family":"Dieter Jaksch"}],"id":"18010","issued":{"date-parts":[[2025,10,6]]},"language":"eng","title":"Dataset Tensor-Programmable Quantum Circuits for Solving Differential Equations","type":"dataset","version":"2"}
- Publication date:
- October 6, 2025
- DOI:
-
- Keyword(s):
- Computational Fluid Dynamics Variational Quantum Algorithms Non-Unitary Operators Quantum Computing
- Related identifiers:
- Supplement to:
https://arxiv.org/abs/2502.04425 - Communities:
- License (for files):
- Creative Commons Attribution 4.0 International