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| Hauptseite > Publikationsdatenbank > Assessment of the Variational Quantum Eigensolver: Application to the Heisenberg Model > print |
| Hauptseite > Publikationsdatenbank > Assessment of the Variational Quantum Eigensolver: Application to the Heisenberg Model > print |
| 001 | 908454 | ||
| 005 | 20230404095008.0 | ||
| 024 | 7 | _ | |a 10.3389/fphy.2022.907160 |2 doi |
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| 037 | _ | _ | |a FZJ-2022-02613 |
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| 100 | 1 | _ | |a Jattana, Manpreet Singh |0 P:(DE-Juel1)174485 |b 0 |e Corresponding author |u fzj |
| 245 | _ | _ | |a Assessment of the Variational Quantum Eigensolver: Application to the Heisenberg Model |
| 260 | _ | _ | |a Lausanne |c 2022 |b Frontiers Media |
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| 520 | _ | _ | |a We present and analyze large-scale simulation results of a hybrid quantum-classical variational method to calculate the ground state energy of the anti-ferromagnetic Heisenberg model. Using a massively parallel universal quantum computer simulator, we observe that a low-depth-circuit ansatz advantageously exploits the efficiently preparable Néel initial state, avoids potential barren plateaus, and works for both one- and two-dimensional lattices. The analysis reflects the decisive ingredients required for a simulation by comparing different ansätze, initial parameters, and gradient-based versus gradient-free optimizers. Extrapolation to the thermodynamic limit accurately yields the analytical value for the ground state energy, given by the Bethe ansatz. We predict that a fully functional quantum computer with 100 qubits can calculate the ground state energy with a relatively small error. |
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| 700 | 1 | _ | |a Michielsen, Kristel |0 P:(DE-Juel1)138295 |b 3 |u fzj |
| 773 | _ | _ | |a 10.3389/fphy.2022.907160 |g Vol. 10, p. 907160 |0 PERI:(DE-600)2721033-9 |p 907160 |t Frontiers in physics |v 10 |y 2022 |x 2296-424X |
| 856 | 4 | _ | |u https://juser.fz-juelich.de/record/908454/files/fphy-10-907160.pdf |y OpenAccess |
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