This title appears in the Scientific Report :
2022
Please use the identifier:
http://dx.doi.org/10.3389/fphy.2022.907160 in citations.
Please use the identifier: http://hdl.handle.net/2128/31432 in citations.
Assessment of the Variational Quantum Eigensolver: Application to the Heisenberg Model
Assessment of the Variational Quantum Eigensolver: Application to the Heisenberg Model
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 advantag...
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Personal Name(s): | Jattana, Manpreet Singh (Corresponding author) |
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Jin, Fengping / De Raedt, Hans / Michielsen, Kristel | |
Contributing Institute: |
Jülich Supercomputing Center; JSC |
Published in: | Frontiers in physics, 10 (2022) S. 907160 |
Imprint: |
Lausanne
Frontiers Media
2022
|
DOI: |
10.3389/fphy.2022.907160 |
Document Type: |
Journal Article |
Research Program: |
An Open Superconducting Quantum Computer Domain-Specific Simulation & Data Life Cycle Labs (SDLs) and Research Groups |
Link: |
OpenAccess |
Publikationsportal JuSER |
Please use the identifier: http://hdl.handle.net/2128/31432 in citations.
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. |