An exact Eulerian Cole-Hopf reformulation converts compressible Navier-Stokes flow into nonlinear imaginary-time Schrödinger equations with self-consistent potentials in two and three dimensions.
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A quantum solver for PDEs is introduced via flexible matrix product operator representations with mid-circuit measurements and state-dependent norm correction to handle non-unitary dynamics.
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Compressible Navier--Stokes Flow in Schr\"odinger-Type Variables
An exact Eulerian Cole-Hopf reformulation converts compressible Navier-Stokes flow into nonlinear imaginary-time Schrödinger equations with self-consistent potentials in two and three dimensions.
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Tensor-Programmable Quantum Circuits for Solving Differential Equations
A quantum solver for PDEs is introduced via flexible matrix product operator representations with mid-circuit measurements and state-dependent norm correction to handle non-unitary dynamics.