Quantum Non-Linear Operator: A Novel Computational Framework for Complex Quantum Nonlinear Equations

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

Quantum Non-Linear Operators (QNOs) represent a paradigm shift in computational methods, offering the potential to tackle complex quantum nonlinear equations with unprecedented efficiency. This paper introduces a novel computational framework based on QNOs, designed to accelerate the solution of these equations and facilitate advanced quantum computation and simulation. Traditional approaches often struggle with the inherent complexity and non-linearity of these equations. We propose a specific QNO structure and its associated mechanisms, demonstrating its efficacy through theoretical analysis and preliminary simulations. The core claim is that this framework will significantly enhance the speed and scalability of quantum calculations, opening doors to new research and applications in quantum information science.

DOI: 10.5281/zenodo.22203996

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