Quantum Entanglement's Non-Linear Geometry for Complex State Representation

Jincheng Zhang

Published Sep 3, 2026• 0 citations

Abstract

Quantum entanglement, a cornerstone of quantum mechanics, exhibits unique properties that challenge classical geometric intuition. This paper explores the potential of leveraging this non-linear geometry to design a novel representation method for quantum states, specifically emphasizing their complexity and non-linearity. We propose a framework centered around the manipulation of entangled states, aiming to enhance our understanding of quantum phenomena. The core claim is that this approach offers a more nuanced and expressive method for representing quantum states, particularly crucial for advancing quantum computation and information processing. This investigation will delve into the mathematical underpinnings of this geometric approach, detailing the design of a new representation scheme and its implications for various quantum algorithms and applications.

DOI: 10.5281/zenodo.22266940

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