Fermi-Hubbard VQE Optimizer Benchmark

Comprehensive benchmark of 30 classical optimizers on 372 instances of VQE for the Fermi-Hubbard system using the Hamiltonian variational ansatz. Best-performing optimizers are gradient-descent variants (Momentum, ADAM with finite differences), SPSA, CMA-ES, and BayesMGD. The study demonstrates that finite-difference step size has a very significant impact on VQE convergence quality.[1]

  • Algorithm: VQE with Hamiltonian Variational Ansatz
  • Category: simulation
  • Qubits: 12
  • Framework: Qiskit, PennyLane
  • Reproducible: Yes
  • Published:
  • Fermi-Hubbard
  • VQE
  • optimizer-benchmark
  • condensed-matter
  • simulation

What algorithm does Fermi-Hubbard VQE Optimizer Benchmark use?

Fermi-Hubbard VQE Optimizer Benchmark uses the VQE with Hamiltonian Variational Ansatz algorithm, categorized under simulation.

Frequently Asked Questions

What is the Fermi-Hubbard VQE Optimizer Benchmark benchmark?

Comprehensive benchmark of 30 classical optimizers on 372 instances of VQE for the Fermi-Hubbard system using the Hamiltonian variational ansatz. Best-performing optimizers are gradient-descent variants (Momentum, ADAM with finite differences), SPSA, CMA-ES, and BayesMGD. The study demonstrates that finite-difference step size has a very significant impact on VQE convergence quality.

Is Fermi-Hubbard VQE Optimizer Benchmark reproducible?

Yes, this benchmark is reproducible.

Sources

  1. "Benchmarking a wide range of optimisers for solving the Fermi-Hubbard model using the variational quantum eigensolver", accessed 2026-03-19 — arXiv
  2. "Observing ground-state properties of the Fermi-Hubbard model using a scalable algorithm on a quantum computer", accessed 2026-03-19 — DOI