Auditing Syndrome-to-Decoder Mappings for Repetition, Surface, CSS, and Digitized-GKP Interfaces

arXiv:2607.19447 · quant-ph · Submitted 2026-07-21 · Read on arXiv

quant-ph

Submitted: 2026-07-21

Updated: 2026-10-12

Comments: The article has been accepted by Frontiers of Computer Science (FCS), with the DOI: 10.1007/s11704-026-61541-6

DOI: 10.1007/s11704-026-61541-6

Code: https://github.com/DennisWayo/lidmas

License: http://creativecommons.org/licenses/by/4.0/

The gist: Quantum error-correction experiments increasingly require a verified interface between measured syndrome bits and decoder-native correction requests.

Terminology

Abstract

Quantum error-correction experiments increasingly require a verified interface between measured syndrome bits and decoder-native correction requests. We report a four-branch syndrome-to-decoder mapping audit spanning a five-data-qubit repetition code, a distance-five surface Z-check interface, a compact Steane CSS benchmark, and a digitized-GKP proxy. For the surface interface, an independent noiseless interpreter verifies 40/40 single-X syndrome columns and data-bit round trips, while a reversed-register negative control fails for all 40 targets. Sampled hardware and local-noise streams are then analyzed with exact binary minimum-weight representatives to separate mapping validity from noisy localization. The results establish a narrow interface-conformance claim, not a decoder benchmark, threshold estimate, or logical-QEC demonstration.

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