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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},}

• 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

You'll need a working Python environment to run the code. To run the files inQiskit/, installQiskit.To run the files inxacc/, you need to install the XACC package with thetnqvm-exatn accelerator,here andqcor compilerhere.One way to do this is by using Docker containers documented inxacc_install/Readme.md.