A Unified Hardware-to-Decoder Architecture for Hybrid Continuous-Variable and Discrete-Variable Quantum Error Correction in LiDMaS+

arXiv (Cornell University)

Abstract

We present an architecture-level hardware-to-logical-to-decoder execution stack for hybrid continuous-variable and discrete-variable quantum error correction in LiDMaS+. Provider-native records are normalized into a single decoder IO contract and replayed under fixed controls across MWPM, UF, BP, and neural-MWPM. In a Xanadu case study using fixture inputs and sampled public datasets, replay integrity was complete: 108/108 fixture and 4000/4000 real-slice request-response lines, with zero request-parse errors, zero response-parse errors, and zero decoder-name mismatches. Under matched inputs, decoder behavior is clearly regime-dependent. For weighted fixture summaries, average flip count was 1.296 (MWPM), 1.296 (UF), 0.667 (BP), and 1.296 (neural-MWPM). For weighted real-data summaries, average flip count was 0.641 (MWPM), 0.741 (UF), 0.318 (BP), and 0.641 (neural-MWPM); corresponding nonempty-flip rates were 0.490, 0.490, 0.318, and 0.490. Across fixture data, BP reduced weighted correction volume by 48.6\% versus MWPM; across real slices, BP reduced weighted correction volume by 50.4\% versus MWPM and 57.1\% versus UF. Quality controls show the central interpretability tradeoff: BP is intervention-conservative but leaves higher residual burden, while MWPM-family decoders intervene more aggressively and clear more syndrome. Warning-no-syndrome rates remained decoder-invariant and dataset-driven (fixture weighted 0.259; real weighted 0.510), confirming preserved sparsity semantics from hardware input to logical correction. Re-running analysis stages reproduced identical SHA-256 artifacts, enabling deterministic study iteration. These results establish a practical benchmarking foundation for photonic GKP-oriented hardware programs where decoder policy must be selected as a function of operating regime.

Authors 4

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

   Volkswagen Group (Germany) · RWTH Aachen University

   Affiliation as printed

   Department of Physics , RWTH Aachen , Germany

   Volkswagen AG , Berliner Ring 2 , Wolfsburg 38440 , Germany

3. 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

4. Sven Groppe

   TU Bergakademie Freiberg

   Affiliation as printed

   Institut für Informatik , Fakultät für Mathematik und Informatik , TU Bergakademie Freiberg , Bernhard-von-Cotta-Straße 2 , D-09599 Freiberg , Germany