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Preprint Aug 2026

Quantum algorithm for differential equations via permutation matrix representation with application to the Burgers equation

We develop a quantum algorithm for solving the dynamics of the nonlinear viscous Burgers equation. We apply the Carleman linearization procedure on the spatially discretized equation, followed by a padding scheme that allows implementation on qubit registers. Existing Carleman-based quantum algorithms commonly formulat...

Hriday Sabharwal, A. Kalev, Itay Hen · 0 citations

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