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I have heard about Quantum chemistry as one of the main applications of quantum computers. However, I have not found concrete related articles with circuit-implementations for these applications.

Does anyone have articles on simulating molecules (such as for instance hydrogen or helium) with a circuit implementation to run it?

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Have you read Towards quantum chemistry on a quantum computer (Nature Chemistry 2010, or here in the arXiv version)? They present "a photonic implementation for the smallest problem: obtaining the energies of H$_2$ (the hydrogen molecule) in a minimal basis". In the figure S1 of the Supporting information there is an equivalence of the operations they implement in circuit notation.

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