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
- 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: Reading charge and spin heatmaps
- Part 9: Digital versus cold-atom labs
- Part 10: Official Monoprop benchmark
Continue in 2D: the former 2D outlook has grown into a separate Hubbard 2D series, beginning with From 1D to 2D.