Probability Topological Field Theory for Quantum Computing Modeling
Jincheng Zhang
Abstract
This paper investigates the application of probability topological field theory (PTFT) to quantum computing modeling, offering a novel approach to simulating quantum systems through probabilistic state distributions. We propose a framework where PTFT principles are leveraged to represent quantum states, facilitating quantum computation through probabilistic modeling. The core mechanism centers around utilizing the inherent probabilistic nature of PTFT to provide a distinct viewpoint for quantum system simulation. This research explores the potential of PTFT as a foundational tool for enhancing quantum computing's implementation and offering a new perspective on the challenges of quantum system representation. The paper details the conceptual framework, the mathematical basis of the proposed modeling approach, and the expected benefits of this method.