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Geometric Information Theory: A Quantum Computing Paradigm

Jincheng Zhang

Published Sep 3, 2026• 0 citations
Publisher

Abstract

Geometric Information Theory (GIT) offers a novel approach to quantum computation by leveraging geometric structure as a fundamental basis for quantum information. This paper explores the integration of GIT with quantum computing, focusing on the design of a quantum algorithm specifically tailored for efficient processing of large geometric datasets. We present a detailed conceptual framework, outlining the core mechanisms and potential benefits of this hybrid approach. The research demonstrates the feasibility of utilizing geometric structures as a key component of a quantum computation, aiming to significantly enhance computational performance for complex geometric tasks.

DOI
10.5281/zenodo.22279539

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Geometric Information Theory (GIT) offers a novel approach to quantum state generation and computation, leveraging geometric structures to encode and manipulate quantum states. This paper investigates the potential of GIT to enhance the efficiency of quantum algorithms. We explore the concept of utilizing geometric transformations and geometric information to optimize quantum state representations and control, ultimately aiming to improve the performance of quantum computation. The core claim is that by explicitly modeling quantum states through geometric structures, we can achieve a significant improvement in efficiency and scalability. This work presents a framework for applying GIT principles to specific quantum algorithms, focusing on key areas such as state manipulation, quantum error correction, and optimization of quantum circuits. The paper will delve into the mathematical foundations of GIT, demonstrate the practical implementation of key algorithms, and analyze the potential benefits of this approach. We will also discuss the challenges and future directions for this burgeoning field.
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