Technical Validation of the Q-Strings Framework: Scalability and Ground State Convergence in TFIM (6-20 Qubits)

We present Q-Strings, a computational framework for the simulation of string-inspired dynamics using variational quantum algorithms. We implement a mapping of vibrational degrees of freedom onto a quantum register, achieving ground state convergence through the Variational Quantum Eigensolver (VQE). This technical dataset provides validation metrics and scalability results for the Transverse Field Ising Model (TFIM) across 6, 10, 15, and 20 qubits. The results highlight a specific configuration where optimal θ parameters show symmetric convergence to π values (14-decimal precision) and Von Neumann entropy profiles consistent with the system's topology (S_{VN} ≈ 1.144 for N=20). Data Availability: The technical checkpoint files (JSON format) containing the specific θ parameters and Hamiltonian mappings are strictly proprietary to protect the framework's architectural novelty. These records are maintained for institutional audit or peer-review purposes and are available only upon formal, reasonable request to the author.