Quantum Topology-Based Nonlinear Matrix Operations

Jincheng Zhang

Published Sep 4, 2026• 0 citations

Abstract

Quantum topology, a relatively new field, offers a promising avenue for revolutionizing matrix operations by incorporating quantum mechanical principles. This paper explores the design and theoretical foundation of a novel set of non-linear matrix operations predicated on quantum topology. We detail the core mechanism of introducing quantum topology, its potential benefits in mitigating numerical instability, and the rationale behind the proposed approach. The paper presents a conceptual framework for these operations, including a formal description of the quantum topology framework and preliminary results demonstrating the potential for improved efficiency and robustness compared to traditional methods. The research highlights the significant potential of this approach to advance computational capabilities, particularly in areas requiring precise matrix manipulations.

DOI: 10.5281/zenodo.22296912

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