Journal Article

FZJ-2022-02613

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Assessment of the Variational Quantum Eigensolver: Application to the Heisenberg Model

Jattana, M. S. (Corresponding author)FZJ* ; Jin, F.FZJ* ; De Raedt, H.FZJ* ; Michielsen, K.FZJ*

2022
Frontiers Media Lausanne

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Please use a persistent id in citations: http://hdl.handle.net/2128/31432  doi:10.3389/fphy.2022.907160

Abstract: 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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Contributing Institute(s):

1. Jülich Supercomputing Center (JSC)

Research Program(s):

1. 5111 - Domain-Specific Simulation & Data Life Cycle Labs (SDLs) and Research Groups (POF4-511) (POF4-511)
2. OpenSuperQ - An Open Superconducting Quantum Computer (820363) (820363)

Appears in the scientific report 2022

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