%0 Journal Article
%A Jattana, Manpreet Singh
%A Jin, Fengping
%A De Raedt, Hans
%A Michielsen, Kristel
%T Assessment of the Variational Quantum Eigensolver: Application to the Heisenberg Model
%J Frontiers in physics
%V 10
%@ 2296-424X
%C Lausanne
%I Frontiers Media
%M FZJ-2022-02613
%P 907160
%D 2022
%X 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.
%F PUB:(DE-HGF)16
%9 Journal Article
%U <Go to ISI:>//WOS:000819201900001
%R 10.3389/fphy.2022.907160
%U https://juser.fz-juelich.de/record/908454