Adelic Quantum Error Correction: Intrinsic Qubit Protection from Ostrowski

DOI: 10.5281/zenodo.21336099 July 5, 2026
We propose a quantum error-correcting code whose protection derives from Ostrowski's theorem. The code leverages the classification of non-trivial absolute values on Q to achieve intrinsic fault tolerance without active syndrome extraction.

Adelic Quantum Error Correction: Intrinsic Qubit Protection from Ostrowski

Authors: Rowan Quni

Published: 2026-07-05

DOI: [10.5281/zenodo.21336099](https://doi.org/10.5281%2Fzenodo.21336099)

Abstract

We propose a quantum error-correcting code whose protection derives from Ostrowski's theorem. The code leverages the classification of non-trivial absolute values on Q to achieve intrinsic fault tolerance without active syndrome extraction.

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