Title: Algorithmic Simulation of Quantum Superposition in Non-Euclidean Space

Jincheng Zhang

Published Sep 2, 2026• 0 citations

Abstract

Quantum superposition, a fundamental principle of quantum mechanics, allows particles to exist in multiple states simultaneously. Simulating this phenomenon is a significant challenge in quantum computing. This paper explores the algorithmic implementation of quantum superposition within a non-Euclidean space, aiming to create complex multi-dimensional states through entanglement. We propose a novel algorithm, the "Quantum Entanglement Mapper," designed to efficiently map a system's state into a non-Euclidean representation, leveraging entanglement to generate intricate superposition states. The core mechanism involves encoding the system's variables within a dynamically evolving, multi-dimensional space, and utilizing entanglement to dynamically adjust the state's representation. We demonstrate the algorithm's capability to produce complex superposition states, offering a potential pathway toward more sophisticated quantum simulations. The paper concludes with a discussion of the potential applications and limitations of this approach.

DOI: 10.5281/zenodo.22254809

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