Introduces Floquet codes — dynamical quantum error-correcting codes where the codespace emerges from a periodic sequence of two-body measurements rather than a fixed stabilizer group. The honeycomb Floquet code achieves topological protection using only weight-2 measurements.

Key Results

  • Codespace defined by periodic measurement cycle, not static stabilizers
  • Honeycomb lattice with 3-step XX/YY/ZZ cycle
  • Only weight-2 measurements (vs weight-4 for surface code)
  • Effective code after one cycle is topologically equivalent to toric code