Quantum State Transformation and Quantum Probability Calculation via Nonlinear Transformations

Jincheng Zhang

Published Sep 3, 2026• 0 citations

Abstract

Quantum state transformation is a fundamental aspect of quantum computation, enabling the manipulation of quantum states and facilitating complex algorithms. This paper explores the design of a novel quantum state transformation algorithm based on nonlinear transformations and quantum probability calculations, aiming to enhance computational precision. We introduce a method that leverages the inherent properties of quantum mechanics to achieve non-linear transformations, offering a potential advancement over existing approaches. The core mechanism centers around the application of a carefully crafted transformation process, utilizing quantum probability calculations to guide the state evolution. The paper details the algorithm's design, its mathematical underpinnings, and its potential impact on quantum computation. The research highlights the advantages of this approach in terms of improved accuracy and efficiency, and implicitly addresses the challenge of achieving the required precision through the strategic use of nonlinear transformations.

DOI: 10.5281/zenodo.22264895

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