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Geometric Information Encoding for Quantum Computation

Jincheng Zhang

Published Aug 31, 2026• 0 citations
Publisher

Abstract

This paper explores the application of geometric information encoding as a novel approach to enhance quantum computation's efficiency and stability. The core concept revolves around leveraging the inherent geometric properties of quantum systems to guide algorithm design and improve quantum state preservation. We present a preliminary design of an algorithm that utilizes geometric transformations to subtly manipulate quantum states, potentially leading to enhanced coherence and reduced error rates. The investigation focuses on the potential benefits of this technique in specific quantum algorithms, particularly those involving complex rotations and transformations. The paper concludes with a discussion of future research directions, including theoretical analysis and experimental validation.

DOI
10.5281/zenodo.22197883

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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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