A resource frugal quantum lattice Boltzmann method

Code for reproducing results from the paper:

A multiple-circuit approach to quantum resource reduction with application to the quantum lattice Boltzmann method
Authors: Melody Lee, Zhixin Song, Sriharsha Kocherla, Austin Adams, Alexander Alexeev, Spencer H. Bryngelson
Future Generation Computing Systems, 174 107975 (2026)
Georgia Institute of Technology, Atlanta, GA USA 30332

It can be cited as

@article{lee25,
  author = {Lee, M. and Song, Z. and Kocherla, S. and Adams, A. and Alexeev, A. and Bryngelson, S. H.},
  title = {A multiple-circuit approach to quantum resource reduction with application to the quantum lattice {B}oltzmann method},
  doi = {10.1016/j.future.2025.107975},
  journal = {Future Generation Computing Systems},
  pages = {107975},
  volume = {174},
  year = {2026}
}

Files

• advectionDiffusion/: Contains code for solving the advection-diffusion equation
  • QuantumD1Q2.ipynb: D1Q2 QLBM advection-diffusion simulation
  • QuantumD1Q3.ipynb: D1Q3 QLBM advection-diffusion simulation
  • QuantumD2Q5.ipynb: D2Q5 QLBM advection-diffusion simulation
• twoCircuitLBM.ipynb: Two-circuit QLBM 2D lid driven cavity flow simulation
• oneCircuitLBM.ipynb: Single-circuit QLBM 2D-lid driven cavity flow simulation
• classicalLBM.ipynb: Classical LBM 2D lid driven cavity flow simulation
• visualizations/: Contains code for graphing and visualizing results
  • errorAnalysis.ipynb: Graphs error plots from output files
  • graphics.ipynb: Graphs results from output files

License

MIT