Fig. 7: Operations used within the Fermi-Hubbard VQE circuit. | Nature Communications

Fig. 7: Operations used within the Fermi-Hubbard VQE circuit.

From: Observing ground-state properties of the Fermi-Hubbard model using a scalable algorithm on a quantum computer

Fig. 7

From top to bottom, Givens rotations, hopping terms, onsite terms, fermionic swaps, and basis changes for hopping term measurement—and how they can be decomposed in terms of 1 and 2-qubit gates. Here, \(\eta=\arcsin (\sqrt{2}\sin (\phi /4))\), \(\xi=\arctan (\tan (\eta )/\sqrt{2})\), and ϕ ∈ [−π, π].

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