Quantum Chaos in the Realm of Non-Linear Geometry: A Modeling Framework for Quantum Computation

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

This paper explores the potential of utilizing non-linear geometry within the framework of quantum chaos to develop a novel modeling approach for complex dynamical systems. The core claim is to establish a quantum chaos system as a foundation for a geometric interpretation, leveraging the inherent properties of quantum field theory to abstract and model the system's geometric structure, ultimately leading to a computationally efficient model suitable for quantum computation. This research investigates how the principles of non-linear geometry, rooted in quantum field theory, can be effectively translated into the computational landscape of quantum algorithms. The proposed mechanism involves embedding a 'non-linear geometry' concept into the system, exploiting quantum computation's inherent properties to capture and represent the system's complex geometric characteristics. This work aims to address limitations in current modeling techniques by offering a fundamentally different perspective on chaos and quantum computation.

DOI: 10.5281/zenodo.22184003

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