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基于自适应的非线性矩阵运算的量子算法 (QMAPQ)

Jincheng Zhang

Published Sep 7, 2026• 0 citations
Publisher

Abstract

Quantum Algorithm Mapping and Parallelization with Adaptive Matrix Operations (QMAPQ) presents a novel quantum algorithm designed to address the limitations of traditional matrix operations in quantum computing. This research explores the implementation of a dynamically adjustable matrix operation scheme, leveraging quantum algorithms and adaptive complexity control to enhance the efficiency of large-scale matrix computations. The core of QMAPQ is based on the concept of iteratively adjusting the computational complexity of matrix operations through quantum entanglement and superposition. This allows the algorithm to potentially surpass the performance limitations of fixed-parameter algorithms, offering a pathway toward more scalable and efficient quantum computations. The paper details the design of the adaptive matrix operation module, the quantum circuit implementation, and preliminary results demonstrating the algorithm's potential for increased computational throughput.

DOI
10.5281/zenodo.22608862

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This paper introduces the ANMQ, a novel quantum algorithm leveraging adaptive matrix operations to enhance the efficiency of large-scale matrix computations. Traditional quantum algorithms often employ static complexity, limiting performance in scenarios requiring high throughput. ANMQ dynamically adjusts the computational complexity of matrix operations, enabling efficient processing of massive datasets. The core mechanism involves integrating quantum algorithms with adaptive matrix operations, allowing for a flexible and optimized computation strategy. This approach addresses the challenges associated with scaling quantum computation to large matrices, offering a potentially transformative advancement in quantum algorithm design. The paper details the algorithm's architecture, demonstrates its efficacy through theoretical analysis and preliminary simulations, and explores potential applications across various quantum computing domains.
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