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2025 · Radiation effects and defects in solids

Quantum lattice representation of nonlinear classical physics

Min Soe, George Vahala, Linda Vahala, A. K. Ram, Efstratios Koukoutsis, Kyriakos Hizanidis

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.

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DOI: 10.1080/10420150.2025.2474967