Techniques for Hamiltonian Simulation and Beyond

This talk aims at providing an overview of some of the major ideas and techniques that were developed for Hamiltonian simulation, including Trotterization, linear combination of unitaries, oblivious amplitude amplification and quantum signal processing. The adaptation and clever combination of these techniques led to a flurry of new results in different variants of Hamiltonian simulation problems, as well as in other important quantum algorithmic tasks.