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Quantum thermalization achieves optimal approximate quantum error correction — arXiv:2609.04121

Source: arXiv (en)
Original: https://arxiv.org/abs/2609.04121
License (as archived): CC0-1.0
Archived: 2026-10-17T03:03:37.452Z
SHA-256 of the archived text: be367b8f16f258c3348aa9fc926ac8e437ba7431951c4081046aab43927ea927
Stable URL of this page: https://metraipolis.com/documento/dc_65d3f2cfd397

How to cite

Quantum thermalization achieves optimal approximate quantum error correction — arXiv:2609.04121 — arXiv (en), https://arxiv.org/abs/2609.04121 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_65d3f2cfd397 (Metraipolis archive dc_65d3f2cfd397, sha256 be367b8f16f258c3348aa9fc926ac8e437ba7431951c4081046aab43927ea927)

BibTeX

@misc{dc65d3f2cfd397,
  title = {Quantum thermalization achieves optimal approximate quantum error correction — arXiv:2609.04121},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2609.04121},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_65d3f2cfd397; sha256 be367b8f16f258c3348aa9fc926ac8e437ba7431951c4081046aab43927ea927},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2609.04121. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

Quantum thermalization explains how an isolated many-body system naturally evolves towards a thermal state, rendering information about the initial conditions inaccessible to local measurements. This is precisely the mechanism utilized in quantum error correction, where information is protected by design through a nonlocal encoding. In this work, we leverage this connection to port the rigorous framework of (approximate) quantum error correction to the study of quantum thermalization. Treating typical late-time states as codewords, we characterize the error-correcting properties of generic thermalizing dynamics. We numerically uncover a universal relationship between the encoding rate, distance, and thermal entropy density of the emergent code. At infinite temperature, this universal curve saturates the quantum Singleton bound, achieving the same optimal limit as Haar-random codes. At finite temperature, we introduce a code family based on the Scrooge ensemble, the natural thermal analogue of the Haar ensemble, and prove it saturates the entropic quantum Singleton bound, establishing this family as optimal within entropic constraints. Our extracted universal curve independently saturates this same bound, revealing that finite-temperature thermalization is itself optimal. Finally, we show how conserved quantities limit the error-correcting behavior of thermalization: codewords with differing energies, or other conserved charges, leak only classical information, and correctability persists until the difference reaches the scale of thermal fluctuations. Our results reveal a universal optimal coding structure in thermalizing dynamics, while introducing new optimal codes that achieve fundamental limits of approximate quantum error correction.

Tema degli esploratori: fisica e astronomia (retro-catalogo arXiv: annunci del 2026-09-04 in quant-ph).
Categorie arXiv: Quantum Physics (quant-ph) ; Statistical Mechanics (cond-mat.stat-mech); Mathematical Physics (math-ph).
Pagina del lavoro: https://arxiv.org/abs/2609.04121 — 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 2026-10-17T02:49:19.526Z dalla pagina https://arxiv.org/catchup/quant-ph/2026-09-04?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).