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

arXiv (Cornell University)

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.

Authors 5

1. Dennis Delali Kwesi Wayo
2. Chinonso Onah Aachen Department of Physics

   RWTH Aachen University · Volkswagen Group (Germany)

   Affiliation as printed

   Department of Physics , RWTH Aachen , Germany

   Volkswagen AG , Berliner Ring 2 , Wolfsburg 38440 , Germany

3. Rodrigo Alves Dias

   Universidade Federal de Juiz de Fora

   Affiliation as printed

   Department of Physics , Federal University of Juiz de Fora , Juiz de Fora , 36036-900 , Brazil

4. Leonardo Goliatt

   Universidade Federal de Juiz de Fora

   Affiliation as printed

   Department of Computational and Applied Mechanics , Federal University of Juiz de Fora , Juiz de Fora , 36036-900 , Brazil

5. Sven Groppe

   TU Bergakademie Freiberg

   Affiliation as printed

   Institute of Computer Science , Faculty of Mathematics and Computer Science , TU Bergakademie Freiberg , Bernhard-von-Cotta-Straße 2 , D-09599 Freiberg , Germany