QECTOR Research Archive
Published August 8, 2026 | Version v1.0.0
Technical note Open

qector-decoder-v3: A High-Performance, Multi-Backend Software Architecture for Quantum Error Correction

Authors/Creators

  • 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.
 

Files

qector_v3_production_ledger.pdf

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Additional details

Dates

Submitted
2026-08-08
Publication