Fully quantum algorithm for lattice Boltzmann methods with application to partial differential equations

Code for reproducing the results of the "Fully quantum algorithm for lattice Boltzmann methods with application to partial differential equations" paper, https://arxiv.org/abs/2305.07148.

Authors: Fatima Ezahra Chrit, Sriharsha Kocherla, Bryan Gard, Eugene F. Dumitrescu, Alexander Alexeev, Spencer H. Bryngelson

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/, you need to install the Qiskit package (https://qiskit.org/). To run the files in xacc/, you need to install the XACC package with tnqvm-exatn accelerator (https://xacc.readthedocs.io/en/latest/install.html) and qcor compiler (https://aide-qc.github.io/deploy/getting_started/). One possible way to do that using Docker containers is given in xacc_install/Readme.md.