Topological Quantum Routing and Geometric Trapping in Macroscopic Vogel Lattices: A Pathway to Defect-Tolerant QCCD Architectures
Year: 2026
Type: preprint
Abstract: ⚠️ Important Note on File Loading: The attached manuscript is a comprehensive, high-resolution document (15.73 MB) containing detailed macroscopic vector graphics and computational 3D mappings. The Zenodo in-browser PDF preview may take some time to load fully. Please be patient, or download the file directly for the optimal reading experience. We investigate the quantum transport, spatial localization, and topological scaling properties of two-dimensional and three-dimensional point sets generated by the metallic-mean Vogel construction. Utilizing highly optimized tight-binding sparse Hamiltonians on macroscopic arrays (up to N=10,946 nodes), we track wavepacket sub-diffusion, Inverse Participation Ratio (IPR) spectra, many-body localization (MBL) indicators, and the Aharonov-Bohm geometric phase under uniform magnetic flux. Our findings reveal a paradigm-shifting divergence from classical condensed matter: the Vogel architecture supports the deterministic coexistence of strongly localized topological memory states and rapid sub-diffusive extended transport channels (alpha ≈ 0.76) within a monolithic substrate. By mapping the quasiperiodic hierarchy onto Genus-1 toroidal manifolds, we demonstrate Curvature-Induced Geometric Trapping, wherein negative spatial curvature strictly confines wavepackets without the necessity for random microscopic defects. Furthermore, the integration of opposing spiral chiralities in a bilayer configuration generates a Topological Moiré Interference pattern, enabling critical state routing and programmable magnetic flux-dependent memory capacity. We establish that these macroscopic aperiodic topologies are intrinsically defect-tolerant and natively immune to inter-qubit cross-talk. To bridge theory with industrial application, we propose scalable fabrication pathways including standard CMOS projection, 3D femtosecond laser inscription, and autologous Tobacco Mosaic Virus (TMV) bio-templating on graphene. *Defensive Publication & Open License:* This manuscript, alongside its accompanying simulation frameworks and architectural blueprints, is officially released to the global public domain by the Industrial Island Research Institute. It serves as established Prior Art and a defensive publication. All core architectures described herein are released under an unrestricted, royalty-free Open Source framework, ensuring absolute freedom for global academic research and commercial hardware innovation.
Author: Hefetz, Yaron Admon
Language: English
Subfield: Materials Chemistry
Field: Materials Science
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7225664385
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