Hubbard Model Quantum Simulation Benchmark

Benchmark for quantum simulation of the Hubbard model, a fundamental model of strongly correlated electrons in condensed matter physics. The relative simplicity of the Hubbard Hamiltonian allows efficient implementation on quantum hardware. Classical benchmarks show that even the most accurate VQE ansatze exhibit plateauing ground-state energy errors for larger lattices, with stronger electronic correlations magnifying the issue.[1]

  • Algorithm: Variational Quantum Eigensolver (VQE)
  • Category: simulation
  • Qubits: 16
  • Framework: Qiskit, PennyLane
  • Hardware: Various (IBM Quantum, simulators)
  • Reproducible: Yes
  • Published:
  • Hubbard-model
  • condensed-matter
  • VQE
  • strongly-correlated
  • simulation

What algorithm does Hubbard Model Quantum Simulation Benchmark use?

Hubbard Model Quantum Simulation Benchmark uses the Variational Quantum Eigensolver (VQE) algorithm, categorized under simulation.

Frequently Asked Questions

What is the Hubbard Model Quantum Simulation Benchmark benchmark?

Benchmark for quantum simulation of the Hubbard model, a fundamental model of strongly correlated electrons in condensed matter physics. The relative simplicity of the Hubbard Hamiltonian allows efficient implementation on quantum hardware. Classical benchmarks show that even the most accurate VQE ansatze exhibit plateauing ground-state energy errors for larger lattices, with stronger electronic correlations magnifying the issue.

Is Hubbard Model Quantum Simulation Benchmark reproducible?

Yes, this benchmark is reproducible.

Sources

  1. "Classical Benchmarks for Variational Quantum Eigensolver Simulations of the Hubbard Model", accessed 2026-03-19 — arXiv
  2. "Variational benchmarks for quantum many-body problems", accessed 2026-03-19 — DOI