Refining the EIC Model for Quantum Computing: Large-Scale QEC, Fractal Noise, and Experimental Validation

This repository presents an extended version of the Entropy-Induced Collapse (EIC) model, integrating fractal noise and quantum error correction (QEC) for fault-tolerant quantum computing. The EIC model proposes that wavefunction collapse occurs when the environmental von Neumann entropy S(t) surpasses a dynamically evolving threshold S_{\mathrm{crit}}(t), modulated by quantum error correction and non-Markovian stochastic effects. This work includes: • A Rigorous Theoretical Framework: Formulation of entropy-driven collapse using stochastic differential equations (SDEs) and non-Markovian memory kernels. • Expanded Simulation Data: Large-scale high-performance computing (HPC) simulations for QEC code distances up to d=11, quantifying entropy shifts and coherence time extensions. • Experimental Roadmap: A detailed plan for short-term, mid-term, and long-term experimental validation on superconducting (IBM Quantum, Google Sycamore) and trapped-ion platforms. • Quantum Cryptography Applications: Analysis of non-Markovian fractal noise effects on quantum key distribution (QKD) protocols, including BB84, E91, and CV-QKD. All simulation codes, datasets, and Python analysis scripts are provided in this repository for full reproducibility. The results offer new insights into quantum measurement theory, quantum computing hardware limitations, and potential implications for quantum cryptography. Keywords: Quantum Computing, Quantum Measurement, Wavefunction Collapse, Quantum Error Correction, Fractal Noise, Non-Markovian Dynamics, Quantum Cryptography, High-Performance Computing, Quantum Key Distribution (QKD), Superconducting Qubits, Trapped Ions.