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Core Claim: Design a dynamic matrix calculation validation method applied to quantum computers, leveraging the dynamic properties of matrices to enhance computational efficiency.

Jincheng Zhang

Published Sep 7, 2026• 0 citations
Publisher

Abstract

The development of quantum algorithms requires rigorous validation to ensure their correctness and stability. Static matrix representations often present challenges in efficiently verifying complex quantum circuits. This paper introduces a novel dynamic matrix calculation validation method specifically tailored for quantum computing, aiming to improve computational efficiency by dynamically adapting matrix properties during the verification process. We propose a mechanism that converts linear algebra calculations into quantum operations, optimizing the algorithm's execution flow. This approach offers a significant improvement over existing methods by dynamically adjusting matrix characteristics, reducing computational complexity and improving the overall accuracy of quantum algorithm validation. The paper details the design of the dynamic matrix validation framework, its implementation using a quantum simulator, and the resulting performance gains compared to traditional validation techniques. Furthermore, we discuss the potential benefits and limitations of this approach in the context of quantum computing.

DOI
10.5281/zenodo.22575421

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