Title: Non-Euclidean Wave Function Theory for Quantum Simulation

Jincheng Zhang

Published Sep 4, 2026• 0 citations

Abstract

This paper explores the application of non-Euclidean geometry to quantum simulation, a novel approach aiming to enhance the accuracy and efficiency of quantum system modeling. Traditional quantum simulation methods often struggle with high computational costs and limited representation capabilities, particularly when dealing with complex quantum states. We propose a new framework based on the concept of non-Euclidean shapes to represent quantum states, offering a potential pathway to significantly reduce computational demands while maintaining a high degree of fidelity. This work details the design of the simulation framework, its underlying mathematical principles, and initial explorations demonstrating its potential impact on quantum simulation.

DOI: 10.5281/zenodo.22292986

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