Quantum Information Entropy Non-Linear Geometric Mapping
Jincheng Zhang
Abstract
Quantum information entropy, a fundamental concept in quantum mechanics, presents a unique challenge for computational efficiency. This paper explores a novel approach to utilizing this entropy – a non-linear geometric mapping – to extract physical laws from probability distributions and generate verifiable physical models. We propose a framework where geometric transformations are employed to reveal hidden correlations and patterns within the data, ultimately leading to a more robust and efficient understanding of quantum systems. The core mechanism revolves around the creation of a mapping that inherently encodes physical relationships, offering a pathway to enhance quantum computation. This work demonstrates the potential of this method to unlock new insights and provide tangible physical models, thereby contributing to the advancement of both theoretical and practical applications of quantum information.