Self-Organizing Topological Quantum Computing Simulation

Jincheng Zhang

Published Sep 3, 2026• 0 citations

Abstract

This paper presents a novel approach to quantum computing simulation leveraging the principles of self-organization in topological quantum matter. We develop a simulation tool, termed "Topological Echo Simulation" (TES), designed to emulate complex quantum phenomena, including topological order, spin configuration, and entanglement, by mimicking the self-organizing behavior of topological phases. The TES utilizes a modified quantum state representation to accurately represent and simulate the evolution of these topological structures. The core mechanism involves generating and manipulating a highly complex, dynamically evolving quantum state, guided by a carefully designed topological algorithm, which produces a topologically robust and coherent simulation. The paper details the TES's architecture, the underlying mathematical framework, and the simulation process, highlighting its potential for advanced quantum simulation and its contribution to the exploration of quantum topological physics. The focus is on demonstrating the tool's capabilities through illustrative examples and preliminary results focusing on the simulation of a simple topological phase, demonstrating the feasibility of the proposed method.

DOI: 10.5281/zenodo.22271513

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