Quantum State Nonlinear Geometry Mapping

Jincheng Zhang

Published Sep 5, 2026• 0 citations

Abstract

This paper presents a novel quantum state mapping algorithm designed to enhance the efficiency of quantum information processing by leveraging the unique properties of quantum entanglement. The core concept revolves around establishing a geometric representation of quantum states, allowing for the manipulation of these states through geometric operations. This approach offers a fundamentally new perspective on quantum computation, potentially unlocking enhanced computational capabilities. The study explores the potential of this methodology by demonstrating its efficacy in a simplified, yet illustrative, scenario. The resulting algorithm aims to improve the efficiency of quantum computations through the integration of geometric transformations, leading to increased computational speed and reduced complexity. This work provides a foundation for future research exploring the transformative potential of combining quantum mechanics with geometric principles.

DOI: 10.5281/zenodo.22321623

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