Hubbard Model Quantum Simulation Benchmark
Variational Quantum Eigensolver (VQE) · Simulation · 16 qubits · Qiskit, PennyLane
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.
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.
Reveals fundamental scalability limitations of VQE for strongly correlated systems, with error plateauing even for the most accurate ansatze.
Various (IBM Quantum, simulators)
Qiskit, PennyLane