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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
      • ai toymodel
  • Random Graph
    • 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 quantum simulation project

This project follows a concrete 1D Fermi-Hubbard simulation route: from the physical model, through fermion-to-qubit mapping and fSWAP routing, to IBM hardware with Fire Opal and classical reference calculations.

The claim boundary is practical and cautious. The series discusses time-to-answer for useful local observables, not an absolute proof that all classical methods fail.

Article series

  1. Part 1: 1D Hubbard model
  2. Part 2: Snake layout and fSWAP
  3. Part 3: Qiskit and Fire Opal
  4. Part 4: 120-qubit run
  5. Part 5: Time-to-answer
  6. Part 6: Tensor networks
  7. Part 7: Majorana propagation
  8. Part 8: Heatmaps
  9. Part 9: 2D Hubbard outlook

Project links

  • Project repository
  • Q-CTRL Fermi-Hubbard paper
  • Classical response 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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