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

@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. To run the files in xacc/, you need to install the XACC package with the tnqvm-exatn accelerator, here and qcor compiler here. One way to do this is by using Docker containers documented in xacc_install/Readme.md.