An explicit quantum circuit implementation, built from level-set linearization and Schrödingerisation, estimates observables of nonlinear scalar conservation laws with complexity that beats classical finite differences in high dimensions.
A level set method for the computation of multi-valued solutions to quasi-linear hyperbolic PDEs and Hamilton–Jacobi equations,
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An Efficient Explicit Implementation of a Quantum Algorithm with Quantum Advantage for Nonlinear Scalar Conservation Laws
An explicit quantum circuit implementation, built from level-set linearization and Schrödingerisation, estimates observables of nonlinear scalar conservation laws with complexity that beats classical finite differences in high dimensions.