This project follows a concrete 2D Fermi-Hubbard simulation route: from the earlier 1D IBM/TDVP validation series, through a cuprate-oriented square-lattice Hubbard model, to exact 3×3 validation, IBM and Fire Opal diagnostics, and tensor-network baselines up to the current 6×6 diagnostic step.

The claim boundary is practical and cautious. The current 2D results are diagnostic validation data. They are not a claim of d-wave superconductivity, not material evidence for cuprates, and not a quantum-advantage claim.

Article series

1. Part 1: from 1D to 2D
2. Part 2: 2D Hubbard, cuprates, and Google/Willow context
3. Part 3: our 3×3 implementation
4. Part 4: time evolution and hardware diagnostics
5. Part 5: 4×4 hardware and tensor baselines
6. Part 6: 6×6 tensor baseline, IBM diagnostics, and Fire Opal Fez

Project links

• Project repository
• First Fermi-Hubbard project page
• Google/Willow 2D Fermi-Hubbard paper
• Google/Willow dataset
• Q-CTRL 1D Fermi-Hubbard paper