This chapter introduces Hamiltonian simulation, the central challenge of simulating quantum time evolution. Several quantum approaches are reviewed, including product formulas, Taylor series methods, and quantum signal processing. Hamiltonian simulation underpins the approximation of the dynamics of quantum systems relevant to chemistry, materials, and physics

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Hamiltonian Simulation Techniques

  • Osama M. Raisuddin,
  • Suvranu De

摘要

This chapter introduces Hamiltonian simulation, the central challenge of simulating quantum time evolution. Several quantum approaches are reviewed, including product formulas, Taylor series methods, and quantum signal processing. Hamiltonian simulation underpins the approximation of the dynamics of quantum systems relevant to chemistry, materials, and physics