Further improving quantum algorithms for nonlinear differential equations via higher-order methods and rescaling

Abstract The solution of large systems of nonlinear differential equations is essential for many applications in science and engineering. We present three improvements to existing quantum algorithms based on the Carleman linearisation technique. First, we use a high-precision method for solving the...

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Bibliographic Details
Main Authors: Pedro C. S. Costa, Philipp Schleich, Mauro E. S. Morales, Dominic W. Berry
Format: Article
Language:English
Published: Nature Portfolio 2025-08-01
Series:npj Quantum Information
Online Access:https://doi.org/10.1038/s41534-025-01084-z
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