Quantum Entanglement and Error-Correcting Codes in Non-Local DNA Nucleotide Dynamics: A Topological Approach to Genetic Information Stability

This paper establishes a rigorous theoretical and analytical framework positioning the double-helix Deoxyribonucleic Acid (DNA) molecule as a functional topological quantum computing system. Traditional molecular biology fails to address the thermodynamic paradox regarding the absolute informational fidelity of genetic transmission against high thermal noise within the intracellular medium (T ≈ 310 K). We propose a quantum bio-cryptographic model where nucleotide base pairs function as highly entangled qubits protected by non-local Quantum Error Correction (QEC) stabilizer codes. By analyzing the density matrix dynamics under localized environmental perturbations via the Lindblad master equation, we demonstrate that non-local quantum correlations suppress thermal dephasing. This mathematical architecture bridges functional quantum mechanics with structural genetics, providing an analytical blueprint for advanced bio-computing and computer-verified topological data storage.