A quantum algorithm pathway using block encoding and QSVT to solve differential equations, with demonstrations on heat and Burgers' equations plus hardware resource estimates.
Carleman, Application of the theory of lin- ear integral equations to systems of nonlinear differential equations (1932)
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A Quantum Linear Systems Pathway for Solving Differential Equations
A quantum algorithm pathway using block encoding and QSVT to solve differential equations, with demonstrations on heat and Burgers' equations plus hardware resource estimates.