https://github.com/comp-physics/fully-qlbm

Code accompanying quantum LBM paper

https://github.com/comp-physics/fully-qlbm

Repository

Code accompanying quantum LBM paper

https://github.com/comp-physics/fully-QLBM/blob/master/

### Fully quantum algorithm for mesoscale fluid simulations with application to partial differential equations

 

  


  



Archival repository for reproducing the paper,
`Full paper reference: Kocherla, S., Song, Z., Chrit, F. E., Gard, B., Dumitrescu, E. F., Alexeev, A., & Bryngelson, S. H. (2024). Fully quantum algorithm for lattice Boltzmann methods with application to partial differential equations. AVS Quantum Science, 6, 033806.`, which can be cited as
```bibtex
@article{kocherla24,
  author = {Kocherla, S. and Song, Z. and Chrit, F. E. and Gard, B. and Dumitrescu, E. F. and Alexeev, A. and Bryngelson, S. H.},
  title = {Fully quantum algorithm for lattice {B}oltzmann methods with application to partial differential equations},
  doi = {10.1116/5.0217675},
  year = {2024},
  volume = {6},
  pages = {033806},
  journal = {AVS Quantum Science},
}
```

### Files

 * `code/`
   * `Qiskit/`
      * `QLBM_diffusion_D1Q2.ipynb`: QLBM algorithm solving diffusion equation using D1Q2 scheme (Section III and IV-A) 
      * `QLBM_Burgers_D1Q2.ipynb`: QLBM algorithm solving Burgers equation using D1Q2 scheme (Section III and IV-A) 
      * `QLBM_diffusion_D1Q3.ipynb`: QLBM algorithm solving diffusion equation using D1Q3 scheme (Section IV-B) 
      * `QLBM_diffusion_D1Q2_measurement_free.ipynb`: QLBM algorithm solving diffusion equation using D1Q2 scheme and IPE algorithm (Section IV-C)
   * `XACC/`
      * `QLBM_diffusion_D1Q2_xacc.py`: QLBM algorithm solving diffusion equation using D1Q2 scheme on XACC framework (Section V) 
 * `xacc_install/`
   * `Readme.md`: Guide to install the XACC package with tnqvm-exatn accelerator and qcor compiler
   * `qcor_install.sh`: Script to install qcor compiler

### Run the code

You'll need a working Python environment to run the code. To run the files in `Qiskit/`, install [Qiskit](https://qiskit.org/).
To run the files in `xacc/`, you need to install the XACC package with the `tnqvm-exatn` accelerator, [here](https://xacc.readthedocs.io/en/latest/install.html) and `qcor` compiler [here](https://aide-qc.github.io/deploy/getting_started/).
One way to do this is by using Docker containers documented in `xacc_install/Readme.md`.

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