Non-Euclidean Geometry of Quantum State Transfer Models

Jincheng Zhang

Published Sep 5, 2026• 0 citations

Abstract

Non-Euclidean Geometry presents a novel approach to quantum state transfer modeling, offering a framework for analyzing the evolution of quantum states through complex geometric transformations. This paper proposes a dynamic model leveraging non-Euclidean geometry to capture the intricate interplay of quantum entanglement and spatial distribution, leading to a new quantum state transfer algorithm. The core mechanism focuses on mapping initial quantum states to non-Euclidean spaces, enabling the exploration of novel quantum pathways and efficient state transitions. We investigate the implications of this approach through a series of simulations and preliminary results demonstrating the potential for enhanced state fidelity and adaptability compared to traditional approaches. This work offers a promising avenue for advancing our understanding of quantum phenomena and developing robust quantum control techniques.

DOI: 10.5281/zenodo.22314286

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