Quantum Information Geometry Turing Domain
Jincheng Zhang
Abstract
Quantum information geometry is a foundational concept in quantum information theory, offering a powerful framework for understanding and manipulating quantum states. This paper proposes a novel quantum information geometry Turing domain, characterized by its reliance on quantum entanglement and topological structures to define and analyze quantum information properties. The core mechanism involves constructing a quantum information coding framework based on topological structures, leveraging the unique properties of quantum entanglement to achieve robust and efficient information transfer and encoding. We argue that this approach significantly expands the scope of quantum information theory by extending the geometric interpretation of quantum states beyond traditional algorithmic applications.