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001050204 005__ 20260113204522.0
001050204 0247_ $$2datacite_doi$$a10.34734/FZJ-2026-00022
001050204 037__ $$aFZJ-2026-00022
001050204 041__ $$aEnglish
001050204 1001_ $$0P:(DE-Juel1)144355$$aJin, Fengping$$b0$$eCorresponding author$$ufzj
001050204 1112_ $$aJUQCA Day 2025$$cJülich$$wGermany
001050204 245__ $$aFinding the ground state of the 1D Hubbard Model using quantum annealing$$f2025-12-03 - 
001050204 260__ $$c2025
001050204 3367_ $$033$$2EndNote$$aConference Paper
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001050204 520__ $$aWe want to illustrate how to find the ground state of the one-dimensional Hubbard model. We start by introducing the classical algorithms that can do this, like exact diagonalization, Lanczos algorithm and the Bethe-ansatz equations. Subsequently, we show how to solve the problem on a gate-based quantum computer using the quantum annealing algorithm. The procedure involves transforming the fermionic Hamiltonian using the Jordan-Wigner transformation, preparing the initial state for quantum annealing using Givens rotations, and constructing the circuit for the time evolution according to the Schrodinger equation using the second-order product-formula algorithm. We conclude by presenting some results and analysis of performance for the quantum annealing algorithm.
001050204 536__ $$0G:(DE-HGF)POF4-5111$$a5111 - Domain-Specific Simulation & Data Life Cycle Labs (SDLs) and Research Groups (POF4-511)$$cPOF4-511$$fPOF IV$$x0
001050204 8564_ $$uhttps://juser.fz-juelich.de/record/1050204/files/Juqca_workshop.pdf$$yOpenAccess
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