Quantum Algorithm for Nonlinear and Stochastic Homogenization
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Quantum Algorithm for Nonlinear and Stochastic Homogenization via a Young-Measure based Linear Programming Formulation
Announce Type: new Abstract: We study quantum algorithms for nonlinear and stochastic homogenization via a Young-measure based linear programming (LP) formulation, which lifts the nonlinear problem to a linear one in higher dimensions by treating the microscale, the gradient, and possible random variables as independent variables, thereby capturing effective macroscopic quantities without directly resolving fine-scale oscillations. The resulting LP is large but structured, and its...
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