What can a hobbyist investigate with a real quantum computer today? In XXZham, we follow how an ordered pattern of 80 spins changes under their mutual interactions. We use IBM Heron, compare the measured curve with classical calculations, and investigate the role of error mitigation. Our aim is a reproducible NISQ demonstration and a serious research candidate for quantum advantage, not an announcement of proven quantum advantage.
Research status: 21 September 2026. The hardware measurement was performed on 20 September; the classical convergence checks followed on 21 September.
The series
- The XXZ model and imbalance
Spins, the quasiperiodic field, and what we measure.
- From dynamics to a quantum circuit
The interaction picture, Trotter steps, and approximations.
- The classical simulation methods
MPS, TEBD, TDVP, and Pauli propagation.
- Error mitigation on real hardware
TREX, Pauli twirling, XY4, and zero-noise extrapolation.
- Results and the classical comparison
The full trajectory, runtimes, errors, and convergence.
- Original study and next steps
Source code, the Tracker submission, Nighthawk, and candidate status.