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Probability Topological Field Theory for Quantum Computing Modeling

Jincheng Zhang

Published Sep 7, 2026• 0 citations
Publisher

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.

DOI
10.5281/zenodo.22617066

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Quantum Topology Field Theory Probability explores the intersection of quantum mechanics and probability theory, offering a novel framework for analyzing quantum systems and their evolution. The core claim is to establish a probability-based model for quantum systems, facilitating the calculation of probability distributions and revealing key evolution patterns. This paper investigates how the properties of quantum topology fields can be leveraged to simplify probability distribution calculations and understand the fundamental dynamics of quantum systems. We introduce a new mechanism that connects quantum topology's inherent probabilistic nature with the evolution of quantum states, ultimately providing a more precise and insightful approach to quantum system modeling. This work contributes to the advancement of both quantum probability theory and quantum field theory by providing a framework for enhanced analysis and prediction of quantum phenomena.
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