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This chapter introduces quantum algorithms that simulate the time evolution of ordinary differential equations (ODE) using time-marching schemes. The discovery of time-marching methods is recent; as such there is great potential for extending the domain of application for these techniques and improve their asymptotic complexity.

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Quantum Ordinary Differential Equation Algorithms: Time-Marching Algorithms

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  • 发表日期：

    2026年

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  • Osama M. Raisuddin,
  • Suvranu De

摘要

This chapter introduces quantum algorithms that simulate the time evolution of ordinary differential equations (ODE) using time-marching schemes. The discovery of time-marching methods is recent; as such there is great potential for extending the domain of application for these techniques and improve their asymptotic complexity.