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arXiv · 2409.17520

Quantum Lattice Representation of Nonlinear Classical Physics

Min Soe·George Vahala·Linda Vahala·Abhay K. Ram·Efstratios Koukoutsis·Kyriakos Hizanidis
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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.

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Min Soe, George Vahala, Linda Vahala, Abhay K. Ram, Efstratios Koukoutsis, Kyriakos Hizanidis. 2024-09-26. Quantum Lattice Representation of Nonlinear Classical Physics. https://arxiv.org/abs/2409.17520

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