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| 001 | 1050204 | ||
| 005 | 20260113204522.0 | ||
| 024 | 7 | _ | |a 10.34734/FZJ-2026-00022 |2 datacite_doi |
| 037 | _ | _ | |a FZJ-2026-00022 |
| 041 | _ | _ | |a English |
| 100 | 1 | _ | |a Jin, Fengping |0 P:(DE-Juel1)144355 |b 0 |e Corresponding author |u fzj |
| 111 | 2 | _ | |a JUQCA Day 2025 |c Jülich |w Germany |
| 245 | _ | _ | |a Finding the ground state of the 1D Hubbard Model using quantum annealing |f 2025-12-03 - |
| 260 | _ | _ | |c 2025 |
| 336 | 7 | _ | |a Conference Paper |0 33 |2 EndNote |
| 336 | 7 | _ | |a Other |2 DataCite |
| 336 | 7 | _ | |a INPROCEEDINGS |2 BibTeX |
| 336 | 7 | _ | |a LECTURE_SPEECH |2 ORCID |
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| 336 | 7 | _ | |a Other |2 DINI |
| 520 | _ | _ | |a We 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. |
| 536 | _ | _ | |a 5111 - Domain-Specific Simulation & Data Life Cycle Labs (SDLs) and Research Groups (POF4-511) |0 G:(DE-HGF)POF4-5111 |c POF4-511 |f POF IV |x 0 |
| 856 | 4 | _ | |u https://juser.fz-juelich.de/record/1050204/files/Juqca_workshop.pdf |y OpenAccess |
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| 920 | _ | _ | |l yes |
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| 980 | _ | _ | |a talk |
| 980 | _ | _ | |a VDB |
| 980 | _ | _ | |a UNRESTRICTED |
| 980 | _ | _ | |a I:(DE-Juel1)JSC-20090406 |
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