Asymmetric Sugar–Phosphate Backbone and Base-Pair Bloch Sphere Representation in DNA Computing Linked to Artificial Intelligence
Abstract
In DNA computing models, the sugar–phosphate backbone exhibits structural asymmetry, where phosphate groups covalently connect the 5′ carbon of one deoxyribose to the 3′ carbon of the next, producing a directionally polarized framework. This molecular asymmetry serves not only as a fundamental basis for replication fidelity and biological transcription but also as a topological precursor for encoding quantum states. In this paper, we propose that the canonical DNA bases, embedded in this asymmetric backbone, can be modeled as qubits projected onto a Bloch sphere, whose coordinates—x, y, z—arise from the intrinsic asymmetry and base stacking interactions. These quantum models of DNA bases are elements of a two-dimensional Hilbert space H2, establishing a framework for linking DNA computation to artificial intelligence (AI), specifically through entanglement, quantum superposition, and state collapse. We explore the implications of this Bloch sphere–Hilbert space representation for information processing, quantum learning architectures, and AI-enhanced encryption systems.
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