Quantum Lattice Representation of Nonlinear Classical Physics
arXiv:2409.17520
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.
4 pages, 1 figure