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  • Hubbard 1D
    • Part 1: 1D Hubbard model
    • Part 2: Snake layout and fSWAP
    • Part 3: Qiskit and Fire Opal
    • Part 4: 120-qubit run
    • Part 5: Time-to-answer
    • Part 6: Tensor networks
    • Part 7: Majorana propagation
    • Part 8: Heatmaps
    • Part 9: 2D Hubbard outlook
  • Hubbard 2D
    • Part 1: 1D to 2D
    • Part 2: Cuprates
    • Part 3: 3×3
    • Part 4: Time
    • Part 5: 4×4
    • Part 6: 6×6 Fez
  • Hadron
    • Deel 1: Hadron op quantumprocessor
    • Deel 2: Quarks en confinement
    • Deel 3: SU(2) en LSH
    • Deel 4: Hamiltoniaan en circuit
    • Deel 5: Fire Opal
    • Deel 6: Klassieke simulaties
    • Deel 7: Quantumvoordeel
  • Black Hole OLE
    • Part 1: What we ran
    • Part 2: How OLE works
    • Part 3: Fire Opal and Kingston
    • Part 4: The tensor-network challenge
    • Part 5: Hawking and scrambling
    • Part 6: What the result proves
    • Part 7: Local toy model
  • Random Graph
    • Start here
    • Part 1: Theory
    • Part 2: Circuit
    • Part 3: Qiskit
    • Part 4: Complexity
    • Part 5: Verification
    • Part 6: Workflow
    • Part 7: Conclusion
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Fermi-Hubbard 2D cuprate series

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

Recent Posts

  • Black Hole OLE, part 7: a local toy model with theory and user guide
  • Black Hole OLE, part 6: what the result proves and what comes next
  • Black Hole OLE, part 5: Hawking, black holes, and scrambling
  • Black Hole OLE, part 4: the tensor-network challenge
  • Black Hole OLE, part 3: Fire Opal on IBM Kingston

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