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I generally think of it the other way around. Simulating dynamics (ie. evolving a system in time) is used in Quantum Phase Estimation (QPE). That is, the $U$ appearing in QPE is the time-evolution operator $U=e^{-iHt}$, where $H$ is the Hamiltonian of the system. Part of the QPE protocol requires implementing $U^k$ for increasing powers $k$. This reduces to ...


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After some research I found an illustrating example on how QPE is used for simulation of many-body systems. The idea is the following: Start with a (possibly time dependent) Hamiltonian $H$ of a many-body system, e.g. a molecular system. The evolution operator then reads: $$ U = \mathrm{e}^{-{\rm i}Ht}. $$ Use Trotter decomposition so as to break this ...


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