Topological Quantum Fields: A Novel Approach to Quantum Computation and Spacetime
Jincheng Zhang
Abstract
This paper introduces Topological Quantum Fields (TQF), a novel framework for quantum computation and spacetime modeling based on the principles of topological quantum field theory. We propose a fundamental shift in understanding quantum systems by incorporating the concept of "quantum topology," which provides a geometric framework for describing the inherent structure and behavior of quantum states. The core claim is that TQF offers a fundamentally different approach to quantum mechanics, potentially leading to enhanced computational capabilities and a deeper understanding of spacetime. We detail the core mechanism of introducing this concept, exploring its implications for quantum state representation and quantum computing. The paper begins with a review of existing quantum field theories and highlights the limitations of current approaches, culminating in the introduction of TQF as a potential paradigm shift.