Title: Non-Euclidean Topology for Quantum State Encoding

Jincheng Zhang

Published Sep 7, 2026• 0 citations

Abstract

Quantum state encoding is a fundamental challenge in quantum information theory, demanding novel approaches to maintain quantum coherence. This paper investigates the application of non-Euclidean topology as a potential tool for achieving this goal. We propose a method for representing quantum states using a non-Euclidean space, exploiting its inherent properties for enhanced quantum coherence. The core mechanism centers around a representation of the quantum state using a non-Euclidean space, leveraging its unique properties for encoding and manipulation. This research explores the implications of this approach, particularly its potential to improve quantum entanglement and information processing. The significance of this work lies in the potential to offer a fundamentally new paradigm for quantum state management, driven by the intersection of topology and quantum mechanics.

DOI: 10.5281/zenodo.22626889

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