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Approximate Quantum Error Correction at Chiral Topological Edges — arXiv:2608.06258

Source: arXiv (en)
Original: https://arxiv.org/abs/2608.06258
License (as archived): CC0-1.0
Archived: 2026-10-31T10:53:48.723Z
SHA-256 of the archived text: 419ba821c97d147a99d6a73a502e6d5e0d760e94654afc1a1ef8b3439cc5daf6
Stable URL of this page: https://metraipolis.com/documento/dc_be359f2e554b

How to cite

Approximate Quantum Error Correction at Chiral Topological Edges — arXiv:2608.06258 — arXiv (en), https://arxiv.org/abs/2608.06258 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_be359f2e554b (Metraipolis archive dc_be359f2e554b, sha256 419ba821c97d147a99d6a73a502e6d5e0d760e94654afc1a1ef8b3439cc5daf6)

BibTeX

@misc{dcbe359f2e554b,
  title = {Approximate Quantum Error Correction at Chiral Topological Edges — arXiv:2608.06258},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2608.06258},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_be359f2e554b; sha256 419ba821c97d147a99d6a73a502e6d5e0d760e94654afc1a1ef8b3439cc5daf6},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2608.06258. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

Topologically ordered phases naturally realize quantum error correction through nonlocal encoding of quantum information. More recently, conformal field theories have been shown to realize approximate quantum error-correcting codes, but such constructions generally require fine tuning to criticality. Here we introduce a family of approximate quantum error-correcting codes realized by the chiral edges of two-dimensional topologically ordered phases. The proposed encoding combines the robustness of a gapped topological bulk with the flexibility of gapless edge conformal field theories. To characterize its robustness, we study coherent-information loss under local erasure. We derive an exact expression relating coherent-information loss to relative entropy, reducing the recoverability problem to universal properties of the edge theory. This leads to power-law scaling of coherent-information loss with the size of the erased region. We further show that, for geometrically local erasures near one edge, the two-dimensional chiral edge code is at least as robust as the dimensionally reduced CFT code, and is strictly more robust in several representative examples. For Abelian code subspaces, we further construct a power-law-range recovery map supported on the erased region together with a power-law-range buffer; this recovery map depends only on the code subspace, not on the unknown encoded state. We provide numerical calculations for lattice realizations of compact free boson and Ising CFT examples that support the theoretical predictions of the power-law exponents.

Tema degli esploratori: fisica e astronomia (retro-catalogo arXiv: annunci del 2026-08-07 in quant-ph).
Categorie arXiv: Quantum Physics (quant-ph) ; Strongly Correlated Electrons (cond-mat.str-el); High Energy Physics - Theory (hep-th).
Pagina del lavoro: https://arxiv.org/abs/2608.06258 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-10-31T10:40:45.626Z dalla pagina https://arxiv.org/catchup/quant-ph/2026-08-07?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).