This chapter explores quantum algorithms for partial differential equations (PDEs), focusing on strategies for discretization, reduction to ODE systems, and direct quantum solution techniques for high-dimensional problems in engineering and the sciences. Methods like Schrodingerization and lifting operations are presented.

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Quantum Partial Differential Equation Algorithms

  • Osama M. Raisuddin,
  • Suvranu De

摘要

This chapter explores quantum algorithms for partial differential equations (PDEs), focusing on strategies for discretization, reduction to ODE systems, and direct quantum solution techniques for high-dimensional problems in engineering and the sciences. Methods like Schrodingerization and lifting operations are presented.