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A Tutorial on Floquet Codes

Talkat Advances in Quantum Coding Theory 2024 · 2024-02-12..02-16
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slides:none on file

Shows that toric‑code behavior arises from repeated two-body measurements by cycling condensations of color‑code anyons, concretely the red x → green y → blue z sequence that swaps e and m after two rounds. Uses the color‑code parent, measures edge hopping operators, tracks detector cells in a 3D space‑time picture, and demonstrates error correction with a matching decoder and circuit‑level simulations reporting about a 0.3% threshold, all consistent with anyon condensation.

AI-written summary · about

  1. 0:00Introduction
  2. 1:06Floquet codes importance
  3. 9:40Color code anyons
  4. 16:56Anyon condensation toric code
  5. 22:38Microscopic construction
  6. 31:39Honeycomb code properties
  7. 38:34Error correction with Floquet
  8. 48:12Alternative perspectives
  9. 56:37Future directions
  10. 1:00:13Q&A
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