TY  - JOUR
AU  - Jattana, Manpreet Singh
AU  - Jin, Fengping
AU  - De Raedt, Hans
AU  - Michielsen, Kristel
TI  - Assessment of the Variational Quantum Eigensolver: Application to the Heisenberg Model
JO  - Frontiers in physics
VL  - 10
SN  - 2296-424X
CY  - Lausanne
PB  - Frontiers Media
M1  - FZJ-2022-02613
SP  - 907160
PY  - 2022
AB  - 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.
LB  - PUB:(DE-HGF)16
UR  - <Go to ISI:>//WOS:000819201900001
DO  - DOI:10.3389/fphy.2022.907160
UR  - https://juser.fz-juelich.de/record/908454
ER  -