Quantum Lattice Representation of Nonlinear Classical Physics
Plasma Physics
2024-12-20 v2 Fluid Dynamics
Abstract
Using the Madelung transformation on a generalized scalar Gross-Pitaevski equation, a nonlinear continuum fluid equations are derived for a classical fluid. A unitary quantum lattice algorithm is then determined as a second order discrete representation of this Gross-Pitaevski equation and the simulations are compared to those using classical fluid dynamic techniques.
Cite
@article{arxiv.2409.17520,
title = {Quantum Lattice Representation of Nonlinear Classical Physics},
author = {Min Soe and George Vahala and Linda Vahala and Abhay K. Ram and Efstratios Koukoutsis and Kyriakos Hizanidis},
journal= {arXiv preprint arXiv:2409.17520},
year = {2024}
}
Comments
4 pages, 1 figure