Substrate Logistics: The Architecture of Quantum Information
Year: 2026
Type: article
Abstract: Title: Substrate Logistics: The Architecture of Quantum Information — Deriving the $1.67 \times 10^{-37}\,\text{J}$ Erasure Floor, Master Clock Decoherence, and Active $36^\circ$ Chiral Phase Compensation Author: Marco Lindenbeck Description: Standard Quantum Information Science (QIS) treats qubit state vectors as continuous Hilbert-space objects and relies on empirical noise models to characterize decoherence and error floors in noisy intermediate-scale quantum (NISQ) devices. This manuscript applies Substrate Logistics to reclassify quantum information from continuous wavefunctions into the discrete hardware execution logs of a finite state machine governed by The Topological Resolution Constant ($\kappa=50$) anchored to a closed Poincaré Dodecahedral Space (PDS). By framing spatial nodes as a pre-tensioned computational metric sampled at the Master Clock rate ($f_\Omega \approx 1.85 \times 10^{43}\,\text{Hz}$), this paper derives the fundamental limits of quantum computing from zero-parameter metric geometry. At $T = 0\,\text{K}$, bit erasure is floored at the Substrate Landauer Limit ($E_{\text{min}} \approx 1.6751 \times 10^{-37}\,\text{J}$), proving that continuous zero-dissipation operations are physically impossible. Furthermore, background metric sampling jitter creates an impermeable single-gate error floor ($\epsilon_{\text{floor}} = \mathcal{C}_\delta \cdot \phi \approx 7.6371 \times 10^{-4}$), natively explaining why transmon fidelities plateau near $99.92\%$ and why this value naturally sits below the $1\%$ 2D surface code fault-tolerance threshold. This work introduces the Substrate-Aware Open System Dynamics Master Equation, incorporating the full 5-channel pentagonal jump operator and the $36^\circ$ chiral metric torque. Numerical open-system telemetry proves that uncompensated coherent phase precession causes complete state collapse at anti-phase nodes ($N=25, 75$, fidelity $\mathcal{F} = 1.87\%$), whereas active $R_z(-36^\circ)$ chiral pulse compensation restores fidelity to $98.13\%$ ($52.5\times$ recovery). These results establish exact mathematical transpiler truncation bounds ($D_{\text{block}} \le 1309$) and provide direct blueprints for fault-tolerant quantum hardware design.
Author: Lindenbeck, Marco
Language: English
Subfield: Artificial Intelligence
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7203711290
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