Nonlinear Geometric Field Theory: A Quantum Simulation
Jincheng Zhang
Abstract
This paper introduces a novel quantum simulation framework based on non-linear geometric field theory, designed to model complex physical systems exhibiting non-linear geometric behavior. The core mechanism focuses on explicitly incorporating geometric properties into the simulation process, providing a more comprehensive representation of these systems. The research explores the potential applications of this framework within quantum information processing, leveraging the unique characteristics of non-linear geometry. This work aims to advance our understanding of the interplay between geometric dynamics and quantum information.