Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Adelic Programme: Adelic QEC - Kodaira-Neron Classification (D4)

QNFO

Published Jul 23, 2026• 0 citations
Publisher

Abstract

Pre-registration for the Kodaira-Neron classification of UMF (ultrametric framework) quantum error-correcting codes. Tests the Gate Correspondence Theorem: QEC code space ? automorphic representation.
DOI
10.17605/osf.io/xver8

Related papers

p-Adic Quantum Error Correction Classifier Verification: A Computational Methodology

Rowan Brad Quni-Gudzinas

Computational methodology for verifying three conjectures connecting p-adic valuation to quantum error-correcting code classification: CSS-Ultrametric Correspondence, Kodaira-Neron fibre classification, Mahler v_p-spectral decomposition. 5-month protocol, 1000+ codes, Cloudflare Workers infrastructure with D1/R2/Vectorize.

•Jul 30, 2026•0 citations

The Arithmetic Geometry of Quantum Error Correction

QNFO Research Collective, Rowan Brad Quni-Gudzinas

Bridges Kodaira-Neron classification to Shor QEC code via p-adic Hodge theory.

•Jul 4, 2026•0 citations

p-Adic Quantum Error Correction Classifier Verification: A Computational Methodology

Rowan Brad Quni-Gudzinas

Computational methodology for verifying three conjectures connecting p-adic valuation to quantum error-correcting code classification: CSS-Ultrametric Correspondence, Kodaira-Neron fibre classification, Mahler v_p-spectral decomposition. 5-month protocol, 1000+ codes, Cloudflare Workers infrastructure with D1/R2/Vectorize.

•Jul 30, 2026•0 citations

A Kodaira-Neron Classification of Quantum Error-Correcting Codes

QNFO Research Collective, Rowan Brad Quni-Gudzinas

We establish a precise mathematical correspondence between the classification of quantum CSS stabilizer codes and the Kodaira-Neron classification of elliptic curves over p-adic fields. The stabilizer lattice of a CSS code defines a filtered (phi,N)-module over Q_p whose reduction type determines the code's error-correcting properties. We verify this classification across 7 code families (100% agreement on KN Propositions 3.1-3.7), present the first explicit construction of a semistable non-crystalline code from the Shor 9-qubit stabilizer monodromy, and catalogue 26 conjectures spanning code distance estimates via Hasse-Weil zeta functions, ultrametric tree structures in error syndromes, and Yamada (1969) weight calibration.

•Jul 4, 2026•0 citations

Adelic Quantum Error Correction: Code Constructions Beyond the Stabilizer Formalism

Rowan Brad Quni-Gudzinas

Adelic generalization of Heydeman holographic QEC. v0.1.1 adds professionally rendered PDF.

•Jul 5, 2026•0 citations

Adelic Quantum Error Correction: Intrinsic Qubit Protection from Ostrowski's Theorem

Rowan Brad Quni-Gudzinas

Construction of an adelic quantum error correction framework leveraging Ostrowski's theorem, providing intrinsic protection for qubits through ultrametric encoding across all completions of Q.

•Jul 13, 2026•0 citations
We establish a precise mathematical correspondence between the classification of quantum CSS stabilizer codes and the Kodaira-Neron classification of elliptic curves over p-adic fields. The stabilizer lattice of a CSS code defines a filtered (phi,N)-module over Q_p whose reduction type determines the code's error-correcting properties. We verify this classification across 7 code families (100% agreement on KN Propositions 3.1-3.7), present the first explicit construction of a semistable non-crystalline code from the Shor 9-qubit stabilizer monodromy, and catalogue 26 conjectures spanning code distance estimates via Hasse-Weil zeta functions, ultrametric tree structures in error syndromes, and Yamada (1969) weight calibration.