ITU Tier 1+ #1: Quantum Error-Correction (mKQEC)

Tier 1+ Pass-1.5 paper 1 of 45. Modular K-Flow Quantum Error Correction. Defines K_mKQEC = -log ρ_mKQEC as the operator-algebraic modular Hamiltonian on H_qubit ⊗ H_code ⊗ H_syndrome. K_mKQEC inherits from K_QG via the CLPW 2023 type II crossed-product specialised to this scale. Numerical results. Surface code threshold simulation; modular flow on stabilizer codes; entanglement entropy verification. Topics covered. Surface codes, Kitaev 2003 toric code, Google Quantum AI 2023 below-threshold, IBM Heron 2024, modular Hamiltonian for QEC. 45-vertex polytope #1 top couplings: #2 AI (0.95), #17 K_QG (0.92), #3 K_crypto (0.85). Ten falsifiable predictions: P_avg=0.62, S/M/W=2/6/2: arXiv 2026 (0.90 S), Google QEC threshold 2026 (0.75 M), Logical qubit demos 2027 (0.65 M). Pass-2 roadmap: ~$1.5M: QEC analytics ($500K) + Lean Mathlib ($200K) + Quantum hardware collab ($800K). Copyright © 2026 Munehiro Terada / Roboken. Licensed under CC-BY-4.0.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-05-19
DOI
https://doi.org/10.5281/zenodo.20269435
Primary Topic
Quantum Computing Algorithms and Architecture
Type
preprint
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preprint

ITU Tier 1+ #1: Quantum Error-Correction (mKQEC)

Munehiro Terada
Zenodo (CERN European Organization for Nuclear Research)
Quantum Computing Algorithms and Architecture
preprint

ITU Tier 1+ #1: Quantum Error-Correction (mKQEC)

Munehiro Terada
preprint en

Abstract

Tier 1+ Pass-1.5 paper 1 of 45. Modular K-Flow Quantum Error Correction. Defines K_mKQEC = -log ρ_mKQEC as the operator-algebraic modular Hamiltonian on H_qubit ⊗ H_code ⊗ H_syndrome. K_mKQEC inherits from K_QG via the CLPW 2023 type II crossed-product specialised to this scale. Numerical results. Surface code threshold simulation; modular flow on stabilizer codes; entanglement entropy verification. Topics covered. Surface codes, Kitaev 2003 toric code, Google Quantum AI 2023 below-threshold, IBM Heron 2024, modular Hamiltonian for QEC. 45-vertex polytope #1 top couplings: #2 AI (0.95), #17 K_QG (0.92), #3 K_crypto (0.85). Ten falsifiable predictions: P_avg=0.62, S/M/W=2/6/2: arXiv 2026 (0.90 S), Google QEC threshold 2026 (0.75 M), Logical qubit demos 2027 (0.65 M). Pass-2 roadmap: ~$1.5M: QEC analytics ($500K) + Lean Mathlib ($200K) + Quantum hardware collab ($800K). Copyright © 2026 Munehiro Terada / Roboken. Licensed under CC-BY-4.0.

Zenodo (CERN European Organization for Nuclear Research)
Stroke Association (GB)
Peace, Justice and strong institutions
Quantum Computing Algorithms and Architecture
DOIOpen Access PDFOpenAlex
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ITU Tier 1+ #1: Quantum Error-Correction (mKQEC) — Munehiro Terada · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS