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Standard Model Particles as Closed Walks on K_7, II: Cross-Vendor and Cross-Architecture Stabilizer-Syndrome Reproduction on Quantum Hardware

James P. Galasyn, Claude Théodore

Published May 26, 2026• 1 citation
Publisher

Abstract

Experimental companion (Paper 21b) of the NWT program. The substrate-canonical Steane [[7,1,3]] preparation circuits are executed on real quantum hardware (IBM Heron r2, IQM Garnet, AQT Ibex-Q1), reproducing the predicted stabilizer-syndrome structure cross-vendor and cross-architecture, including the cross-sector syndrome equivalences. Honest scope: the experiments establish that the predicted syndrome structure is preparable, mutually distinguishable, and architecture-independent on real hardware (realizability), not framework validation. Companion to Paper 21a (theory) and Paper 22 (cosmogenesis).

DOI
10.5281/zenodo.20402045

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Experimental companion (Paper 21b) of the NWT program. The substrate-canonical Steane [[7,1,3]] preparation circuits are executed on real quantum hardware (IBM Heron r2, IQM Garnet, AQT Ibex-Q1), reproducing the predicted stabilizer-syndrome structure cross-vendor and cross-architecture, including the cross-sector syndrome equivalences. Honest scope: the experiments establish that the predicted syndrome structure is preparable, mutually distinguishable, and architecture-independent on real hardware (realizability), not framework validation. Companion to Paper 21a (theory) and Paper 22 (cosmogenesis).
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Standard quantum error correction assumes that all syndrome activations represent errors requiring correction. This paper presents evidence from 756 QEC runs across three IBM Eagle r3 processors (ibm_brisbane, ibm_kyoto, ibm_osaka) that this assumption is incomplete. The hardware exhibits sub-Poissonian syndrome statistics — Fano factor F = 0.856 (t = −131 against Poisson) with zero dependence on code distance (ANOVA p = 0.79) and linear burst scaling (R² = 0.9999). These statistics indicate that a fraction of syndrome events are not random noise but structured cooperative transitions arising from the Z₃ chirality classes of IBM's heavy-hex (Eisenstein-compatible) lattice connectivity. A regime classifier decoder is introduced that distinguishes binary errors from ternary transitions using five structural features (isolation, boundary status, density contrast, chirality, temporal consistency). On a mixed error model calibrated to the IBM hardware statistics, the classifier reduces logical error rates by 7–19% at static detection depth (τ = 1) across all cell sizes, with p < 0.0001 in all four τ = 1 conditions. The improvement mechanism is selective abstention: the classifier correctly identifies 75–80% of ternary transitions at τ = 1 (88–98% at τ = 5) and leaves them uncorrected, whereas a standard decoder miscorrects them. A cross-platform control on Google's 105-qubit Willow processor (420 experiments, d = 3, 5, 7) shows the opposite statistics: super-Poissonian (F = 2.42), super-linear burst scaling, and positive spatial correlation. The Willow result is a prospective prediction of the Merkabit framework (Paper 15), which identifies hexagonal connectivity as the structural requirement for Z₃ chirality-driven anti-bunching. IBM's heavy-hex architecture satisfies this requirement; Google's grid architecture does not. The classifier applied to Willow produces zero improvement, confirming the effect is architecture-specific. The IBM sub-Poissonian statistics were consistent with Paper 15's framework when the DAQEC benchmark became available. The Willow analysis was conducted after Paper 15 was complete, on data not previously examined, and constitutes the prospective test. Direct hardware validation (§2.7): A hexagonal syndrome circuit (7-node cell, 12 CNOTs per round, T = 20 rounds, 4,000 shots) was run on real IBM Quantum hardware by Thor Henning Hetland. On ibm_strasbourg (Eagle r3) with native-direction CX gates, F = 0.9611 < 1 — sub-Poissonian, confirming the prediction on a processor and circuit independent of the original analysis. The routed circuit on the same processor gives F = 1.207, and ibm_fez (Heron r2) gives F = 18.75 — both super-Poissonian. The signal is gate-direction-sensitive: wrong-direction CX gates inflate circuit depth from 1163 to 2045, destroying the anti-bunching structure. This sensitivity confirms the effect is geometric: it depends on preserving native hexagonal connectivity at the gate level. Key results: F = 0.856 ± 0.03 (IBM) vs F = 2.42 ± 0.36 (Willow) · linear burst scaling R² = 0.9999 (IBM) · 7–19% LER improvement · zero classifier effect on Willow · f = 14.4% ternary fraction Data sources: IBM DAQEC benchmark, Zenodo 10.5281/zenodo.17881116 · Google Willow surface code data, Zenodo 10.5281/zenodo.13273331
Version 4.0: Definitive experimental validation of structural coherence protection (N2) in GHZ entangled states across five quantum computing platforms. KEY RESULTS:- IonQ Forte: +7.27% GHZ advantage over product states (p = 7.17×10⁻²⁷, Cohen's d = 6.11)- IBM Heron: 2.4–13.8× slower decay for GHZ vs product states- Rigetti Ankaa-3, IQM Garnet, IQM Emerald: No N2 detected (negative controls) MAIN FINDINGS:1. N2 is real and statistically incontrovertible (p << 5σ particle physics standard)2. N2 is cross-platform: confirmed on superconducting (IBM) and trapped-ion (IonQ) technologies3. N2 requires high-fidelity hardware: >99.5% 2Q gate fidelity threshold4. N2 is GHZ-specific: W-states and Cluster states show no protection5. Negative results on Rigetti/IQM provide mechanistic insight into fidelity thresholds PLATFORMS TESTED:- IBM Heron (ibm_torino, ibm_fez, ibm_boston)- IonQ Forte 1 (trapped ions, 36 qubits)- Rigetti Ankaa-3 (84 qubits)- IQM Garnet (20 qubits)- IQM Emerald (5 qubits) Total experimental investment: ~$3,700 USD This version incorporates Panel Cerezo methodology recommendations and extends v3.1 (DOI: 10.5281/zenodo.18291164) with definitive statistical analysis meeting all rigor criteria. Experiment dates: January 15-19, 2026
Data, simulation code, and figures for: "Spatial Scrambling Profiles and System-Size Scaling of the Scrambling Residual Ω across Dynamical Regimes: Exact Simulation and Cross-Platform Quantum Hardware Validation" E. F. Perez-Eugenio (2026) This repository contains exact statevector simulations (N=4-18) of five dynamical models (KI chaotic, KI mixing, KI integrable, KI dual-unitary, SYK-inspired), cross-platform quantum hardware measurements (IBM Heron, Rigetti Ankaa-3, AQT IBEX Q1), and analysis scripts for the Ω scrambling diagnostic. Key results: spatial scrambling profiles Ω(r), 15× ion trap fidelity advantage over superconducting hardware, and first empirical characterization of an autonomous accessibility flow from quantum hardware. Companion to Paper I: https://doi.org/10.5281/zenodo.18752608