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基于量子态的概率论的统一理论

Jincheng Zhang

Published Sep 1, 2026• 0 citations
Publisher

Abstract

This paper investigates the potential for a unified probabilistic framework based on quantum state dynamics, bridging the seemingly disparate realms of probability theory and quantum mechanics. We propose a novel approach that leverages the inherent dynamism of quantum states to redefine probability, offering a conceptual foundation for a more complete and consistent understanding of probabilistic processes. The core of this research lies in developing a probabilistic framework intrinsically linked to quantum mechanics, moving beyond traditional probability distributions to explore the fundamental relationship between quantum states and the underlying probability. The proposed mechanism centers on the observation that quantum states evolve through a continuous process of change, offering a pathway to a unified probabilistic representation. This work explores the implications of this framework for various applications, including quantum information theory and statistical mechanics. Ultimately, this paper lays the groundwork for a new approach to probabilistic theory, emphasizing the crucial role of quantum states in shaping the nature of probability.

DOI
10.5281/zenodo.22227018

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This paper explores the utilization of quantum state properties to construct a probabilistic model for quantum system evolution and states. Traditional probabilistic models often rely on classical probability distributions, but this work proposes a novel approach leveraging quantum superposition and entanglement to achieve a more precise description of quantum systems and potentially unlock significant advantages within the field of quantum computing. The core of this research lies in the design of a probabilistic model predicated on the unique characteristics of quantum states, offering a potential pathway toward enhanced accuracy and a fundamentally different perspective on quantum system dynamics. The paper presents the model's structure, underlying principles, and potential applications, emphasizing the significance of quantum states in shaping the probabilistic landscape of quantum systems.
Quantum entanglement, a cornerstone of quantum mechanics, presents a profound challenge to classical probability theory. This paper explores the potential of leveraging entanglement to extend probability theory, offering a novel framework for modeling complex systems and facilitating a more precise probabilistic computation. We propose a new approach that utilizes the inherent correlations within entangled states to provide a fundamentally different perspective on probability, potentially offering advantages over traditional methods in scenarios requiring high accuracy and efficient computation. We present a mathematical model and discuss the implications for probabilistic reasoning, emphasizing the crucial role of entanglement in shaping the observed outcomes of quantum systems.
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