Quantum State Geometries for Quantum Computing Simulation

Jincheng Zhang

Published Sep 3, 2026• 0 citations

Abstract

This paper investigates the application of non-linear geometric transformations to quantum states to construct simulation environments for quantum computing. The core claim is that by manipulating the geometric structure of quantum states, we can achieve higher simulation accuracy and efficiency compared to traditional methods. This research explores a novel approach to generating complex geometric representations of quantum states, utilizing these representations to enhance the fidelity of quantum simulations. The paper details a method for creating a non-linear transformation that converts a quantum state into a complex geometric structure, and details how this structure is exploited to facilitate accurate simulations. The study focuses on the potential for this geometric approach to overcome limitations of existing simulation techniques.

DOI: 10.5281/zenodo.22272634

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