English | Nederlands | Project page | Previous The 1D Fermi-Hubbard chain is a good testbed. But the bigger physics ambition is in 2D. Why? Because the 2D Hubbard model is much…
Fermi-Hubbard on a quantum computer, part 8: heatmaps as a material-like measurement
English | Nederlands | Project page | Previous | Next A table of RMSE values is useful, but it is not a physical picture. For a material-like story, we want to see…
Fermi-Hubbard on a quantum computer, part 7: Majorana propagation as a laptop competitor
English | Nederlands | Project page | Previous | Next A good quantum-advantage discussion needs a strong classical competitor. In this series, tensor-network TDVP is the standard competitor, but there is another…
Fermi-Hubbard on a quantum computer, part 6: tensor networks, TDVP, and chi
English | Nederlands | Project page | Previous | Next If we want to benchmark a quantum computer, we need a strong classical competitor. For 1D quantum chains, that competitor is usually…
Fermi-Hubbard on a quantum computer, part 5: quantum advantage or time-to-answer?
English | Nederlands | Project page | Previous | Next "Quantum advantage" is a dangerous phrase. It sounds absolute: the quantum computer wins and the classical computer loses. For near-term many-body simulation,…
Fermi-Hubbard on a quantum computer, part 4: the 120-qubit quantum run
English | Nederlands | Project page | Previous | Next Now we reach the question that motivates this project: what happens when we run the Fermi-Hubbard simulation on real quantum hardware? The…
Fermi-Hubbard on a quantum computer, part 3: Qiskit, IBM Runtime, and Fire Opal
English | Nederlands | Project page | Previous | Next The first two parts were about the physics and the circuit structure. This part is about the practical route: how do we…
Fermi-Hubbard op een quantumcomputer, deel 2: snake layout en fSWAP
Nederlands | English | Project page | Previous | Next Een Fermi-Hubbard Hamiltoniaan is nog geen quantumcircuit. Eerst moeten de fermionische modes naar qubits worden vertaald. Daarna moet het circuit op een…
Fermi-Hubbard on a quantum computer, part 2: snake layout and fSWAP
English | Nederlands | Project page | Previous | Next A Fermi-Hubbard Hamiltonian is not yet a quantum circuit. First, the fermionic modes must be mapped to qubits. Then the circuit must…
Fermi-Hubbard on a quantum computer, part 1: the 1D Hubbard model
English | Nederlands | Project page | Next This project does not start with qubits. It starts with a physical model: the one-dimensional Fermi-Hubbard model. The model describes fermions that can hop…