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This chapter describes methods for mapping systems of ordinary differential equations (ODEs) to block-linear systems solvable by quantum algorithms, addressing both homogeneous and inhomogeneous problems. Asymptotic complexity results are presented and recent progress is reviewed.

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Quantum Ordinary Differential Equation Algorithms: Block-Matrix Algorithms

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  • 发表日期：

    2026年

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  • Osama M. Raisuddin,
  • Suvranu De

摘要

This chapter describes methods for mapping systems of ordinary differential equations (ODEs) to block-linear systems solvable by quantum algorithms, addressing both homogeneous and inhomogeneous problems. Asymptotic complexity results are presented and recent progress is reviewed.