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Provably Efficient Self-Calibrating Quantum Fault Tolerance — arXiv:2608.05686

Source: arXiv (en)
Original: https://arxiv.org/abs/2608.05686
License (as archived): CC0-1.0
Archived: 2026-10-31T10:53:37.319Z
SHA-256 of the archived text: ac4ad995fa50beb72945a5a7af9635afe3f5492e4b038dfa1566482fdec43e6a
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How to cite

Provably Efficient Self-Calibrating Quantum Fault Tolerance — arXiv:2608.05686 — arXiv (en), https://arxiv.org/abs/2608.05686 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_82c8da0bb441 (Metraipolis archive dc_82c8da0bb441, sha256 ac4ad995fa50beb72945a5a7af9635afe3f5492e4b038dfa1566482fdec43e6a)

BibTeX

@misc{dc82c8da0bb441,
  title = {Provably Efficient Self-Calibrating Quantum Fault Tolerance — arXiv:2608.05686},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2608.05686},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_82c8da0bb441; sha256 ac4ad995fa50beb72945a5a7af9635afe3f5492e4b038dfa1566482fdec43e6a},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2608.05686. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

Quantum error correction protects logical information only when every physical operation remains below the fault-tolerance threshold, a condition that must be maintained continuously rather than only at the initial calibration. In practice, however, analog control parameters inevitably drift because of environmental fluctuations. As future fault-tolerant quantum computations are expected to run for days or even months, interrupting computation for repeated recalibration becomes fundamentally impractical. A promising alternative is to integrate calibration directly into computation by repurposing syndrome measurements as a calibration signal (Sivak et al, Nature 2026), but whether such self-calibration can be achieved with provable efficiency remains an open question. Here we establish a theoretical framework for such self-calibrating quantum fault tolerance. We prove that, for a broad class of control-induced errors, the detection rate defines a locally strongly convex surrogate objective for analog calibration with high probability. This geometric property enables a simple and efficient online optimization algorithm using only syndrome measurements collected during normal error correction. We prove convergence to an $\varepsilon$ detection rate within $O(1/\varepsilon^2)$ epochs for time-independent drifts and also establish guarantees for time-dependent drifts. We further show that the convergence rate is independent of the code distance for quantum low-density parity-check (LDPC) codes. Pulse-level simulations of neutral-atom arrays and large-scale circuit-level Clifford simulations confirm these theoretical predictions. Our results establish self-calibrating fault tolerance as a provably efficient paradigm in which the same syndrome measurements simultaneously protect logical information and stabilize the underlying hardware.

Tema degli esploratori: fisica e astronomia (retro-catalogo arXiv: annunci del 2026-08-07 in quant-ph).
Categorie arXiv: Quantum Physics (quant-ph) ; Machine Learning (cs.LG).
Pagina del lavoro: https://arxiv.org/abs/2608.05686 — 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 2026-10-31T10:40:45.595Z 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).