Hamiltonian simulation for hyperbolic partial differential equations

This codes implement quantum circuits for hyperbolic partial differential equations via Hamiltonian simulation

Requirement

Software	Version
python	3.10
tqdm	4.66
qiskit	1.0
qiskit-aer	0.13

Usage

See advection_equation_2D.ipynb and wave_equation_2D.ipynb as sample codes.

Citing the library

If you find it useful to use this module in your research, please cite the following paper.

Yuki Sato, Ruho Kondo, Ikko Hamamura, Tamiya Onodera, and Naoki Yamamoto, Hamiltonian simulation for hyperbolic partial differential equations by scalable quantum circuits, Physical Review Research, 6, 033246, 2024.

In bibtex format:

@article{sato2024hamiltonian,
  title={Hamiltonian simulation for hyperbolic partial differential equations by scalable quantum circuits},
  author={Sato, Yuki and Kondo, Ruho and Hamamura, Ikko and Onodera, Tamiya and Yamamoto, Naoki},
  journal={Physical Review Research},
  volume={6},
  number={3},
  pages={033246},
  year={2024},
  publisher = {American Physical Society},
  doi = {10.1103/PhysRevResearch.6.033246},
  url = {https://link.aps.org/doi/10.1103/PhysRevResearch.6.033246}
}

License

This project is licensed under the Apache License Version 2.0 - see the LICENSE.txt file for details