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How can we perform a time evolution of a quantum state for a given Hamiltonian with qiskit Aqua operator flow? I'm interested in it due to its higher efficiency.

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This is a very general question, and I myself am only beginning to learn how to implement Hamiltonian simulations on Qiskit, but here are some resources which may be useful.

This Stack Exchange thread details basic theory of Hamiltonian simulation.

This tutorial on Hamiltonian simulations outlines how to implement a basic one assuming you have already decomposed your matrix into component Pauli matrices. I myself am looking to learn how to automatically decompose a Hermitian matrix into its Pauli matrices using qiskit if possible.

Additionally, I am linking a similar thread here.

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