Dynamic Topological Field Theory: A Quantum Entanglement-Based Superspace Geometry Interpretation
Jincheng Zhang
Abstract
This paper explores the potential of dynamic topological field theory, leveraging quantum entanglement as a fundamental geometric structure, to facilitate non-standard quantum computation. We propose a novel approach that dynamically adjusts the geometric properties of a superspace through quantum entanglement, offering a framework for highly adaptable and computationally-advantageable quantum algorithms. The core mechanism centers around the concept of entangled quantum states as the primary source of geometric topology, enabling a self-corrective and adaptable geometric structure. This work investigates the potential for utilizing this dynamic geometry to unlock novel computational pathways, particularly within the context of quantum information processing. We present a conceptual framework and initial results demonstrating the feasibility of this approach.