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Hamiltonian Simulation

Hamiltonian simulation methods are used to model and analyze physical systems in a controlled way. The present folder showcases a range of advanced Hamiltonian simulation methods, including product-formula decompositions and block-encoding–based techniques such as QSP, qubitization, and QSVT. The examples illustrate how quantum time evolution can be implemented efficiently within modern algorithmic frameworks.

  • Hamiltonian simulation guide - Provides an introduction and overview to standard Hamiltonian simulation methods. The methods are described and implemented utilizing Classiq's built-in functions. First, the product formula based methods, Suzuki-Trotter decomposition and qDrift are introduced and implemented.
  • Hamiltonian simulation with block encoding - The notebook demonstrates how to implement Hamiltonian simulation with three block-encoding methods: Generalized Quantum Signal Processing (QSP), Qubitization, and Quantum Singular Value Transformation (QSVT). Each method is explained and defined independently and finally compared.