Title: Topology-Driven Quantum Simulation (TDQS)

Jincheng Zhang

Published Sep 5, 2026• 0 citations

Abstract

Topology-Driven Quantum Simulation (TDQS) presents a radical shift in quantum simulation methodologies, leveraging geometric topology to encode quantum states and guide their evolution. This paper explores the potential of integrating topology into quantum algorithms to achieve unprecedented levels of control and fidelity in simulating complex quantum systems. We outline a novel algorithm, TDQS, which employs a topological encoding scheme to represent quantum states, enabling direct manipulation and evolution through geometric transformations. The paper details the core mechanism, the advantages of this approach, and preliminary results demonstrating its effectiveness in simulating a specific, yet illustrative, quantum system. Finally, we discuss the implications of this work for future research in quantum simulation and its potential applications in diverse fields.

DOI: 10.5281/zenodo.22317357

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