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Long-range entangled criticality from coherent errors — arXiv:2611.03811

Source: arXiv (en)
Original: https://arxiv.org/abs/2611.03811
License (as archived): CC0-1.0
Archived: 2026-11-04T13:01:38.839Z
SHA-256 of the archived text: 86a29cc8c2a61d7504a389a35aeaf241e8107052933838834ccd5c2276a3eed3
Stable URL of this page: https://metraipolis.com/documento/dc_aa41dbddffa8

How to cite

Long-range entangled criticality from coherent errors — arXiv:2611.03811 — arXiv (en), https://arxiv.org/abs/2611.03811 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_aa41dbddffa8 (Metraipolis archive dc_aa41dbddffa8, sha256 86a29cc8c2a61d7504a389a35aeaf241e8107052933838834ccd5c2276a3eed3)

BibTeX

@misc{dcaa41dbddffa8,
  title = {Long-range entangled criticality from coherent errors — arXiv:2611.03811},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2611.03811},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_aa41dbddffa8; sha256 86a29cc8c2a61d7504a389a35aeaf241e8107052933838834ccd5c2276a3eed3},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2611.03811. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

We find that coherent error can induce a phase transition from the clean surface code phase into an extended long-range entangled critical regime with diverging Markov length. To demonstrate this, we establish two general results of independent interest. The first relates topology and quantum information to mixed-state entanglement: we show that when a noise channel acting on a topological code preserves a higher-form symmetry and nonzero coherent information, the noisy state for generic logical input is long-range entangled. The second generalizes the local recovery construction based on finite Markov length to any locally parameterized family, thus encompassing local Lindbladian evolution, coherent errors followed by syndrome dephasing, and thermal states. We apply these results to the honeycomb surface code, in which we find an extended long-range entangled critical regime that is a quasi-long-ranged counterpart of 1-form strong-to-weak spontaneous symmetry breaking. As a byproduct of these studies, we relate the conditional mutual information to conductance in a Majorana network model.

Tema degli esploratori: fisica e astronomia (elenco arXiv quant-ph, nuovi lavori del giorno).
Categorie arXiv: Quantum Physics (quant-ph) ; Statistical Mechanics (cond-mat.stat-mech).
Pagina del lavoro: https://arxiv.org/abs/2611.03811 — 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 2026-11-04T12:36:48.019Z dalla pagina https://arxiv.org/list/quant-ph/new (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).