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Title: Quantum-Accelerated Symbolic Computation with Holographic Representation

Jincheng Zhang

Published Sep 7, 2026• 0 citations
Publisher

Abstract

Quantum-Accelerated Symbolic Computation with Holographic Representation addresses the limitations of traditional symbolic computation by introducing a novel framework leveraging holographic representations to significantly enhance computational efficiency. The core claim centers on the ability to represent and manipulate symbolic logic within a holographic projection, facilitating faster and more scalable computations. This work presents a preliminary investigation into this approach, focusing on demonstrating potential improvements in symbolic reasoning and manipulation compared to existing methods. The paper begins with a detailed explanation of the holographic concept, its application to symbolic systems, and the proposed architecture for this quantum computational system. It then outlines the initial implementation and results, highlighting the benefits of the holographic representation for symbolic processing. Finally, the paper concludes with a discussion of future research directions and potential impact.

DOI
10.5281/zenodo.22577417

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This paper introduces a novel approach to quantum computation leveraging high-dimensional symbolic logic, aiming to accelerate the evaluation and verification of complex logical expressions. We propose a quantum-enhanced symbolic logic system that utilizes quantum entanglement and superposition to achieve significantly faster computation compared to classical methods. The core mechanism centers around exploiting these quantum phenomena to represent and manipulate logical statements with unprecedented efficiency. The system focuses on automating the generation of logical inference models, reducing the reliance on manual effort. This work addresses the limitations of traditional symbolic logic computation by introducing a fundamentally different algorithmic structure. We present initial results demonstrating the potential for substantial speedups in specific scenarios, highlighting the promise of this approach for complex problem-solving.
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