qector-decoder-v3: A High-Performance, Multi-Backend Software Architecture for Quantum Error Correction | Zenodo
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QECTOR Research Archive
Published August 8, 2026
| Version v1.0.0
Technical note
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qector-decoder-v3: A High-Performance, Multi-Backend Software Architecture for Quantum Error Correction
Authors/Creators
Lessard, Guillaume<br>(Researcher)1
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1.
iD01t Productions
Description
This technical monograph details the mathematical architecture, algorithmic formulations, exact proofs, and hardware acceleration mechanisms of qector-decoder-v3 v1.0.0. The platform is engineered as an industrial-grade, multi-backend offline decoding suite dedicated to:
Threshold benchmarking
Quantum simulation routines
Large-scale quantum hardware analysis
Supported Code Topologies & Frameworks
The software incorporates fifteen specialized decoding backend variants optimized to handle complex error structures across diverse geometries:
Surface Layouts : Planar, toric, color, and higher-genus surface codes.
Hypergraph Topologies : Quantum Low-Density Parity-Check (qLDPC) codes.
Formalized Software Optimization Targets
The text explicitly formalizes the core mathematical mapping engine:
Primal-dual Edmonds linear programming routines.
Belief-propagation message-passing updates.
Space-time 3D matching lattice models.
Neural message-passing edge-readout networks.
Bit-packed lookup table index systems.
Performance, Verifiability, & Hardware Invariance
The library guarantees mathematical and execution stability through rigorous verification paradigms:
Syndrome-Faithfulness : Strict mathematical proofs validating \(Hc \equiv s \pmod 2\) across all routines.
Bit-Identical Invariance : Cross-platform execution parity proving bit-for-bit identity across single-shot CPU, lock-free parallel Rayon, and accelerated GPU hardware batch execution engines (CUDA and OpenCL).
Comparative Asymptotics : An exhaustive analytical matrix detailing asymptotic time/space complexities and threshold behaviors under circuit-level and phenomenological noise conditions.
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2026-08-08
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Keywords and subjects
Keywords
Quantum Error Correction
Quantum Decoding
Minimum-Weight Perfect Matching
Union-Find
Belief Propagation
qLDPC
GPU Acceleration
Rust
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DOI
10.5281/zenodo.21850315
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Resource type<br>Technical note
Publisher<br>Zenodo
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English
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Creative Commons Attribution 4.0 International
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Creative Commons Attribution 4.0 International (CC-BY-4.0)
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Created
August 8, 2026
Modified
August 8, 2026
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