Dynamic Topology Geometry and Quantum Computing Integration
Jincheng Zhang
Abstract
This paper investigates the integration of dynamic topology geometry with quantum computing, proposing a novel quantum topology computation framework designed for simulating complex physical systems and exploring quantum state encoding. We introduce a self-adaptive topology transformation and its correlation with quantum bit states, enabling the encoding and computation of quantum topologies. The design addresses a long-standing challenge in the fields of topology and quantum computing, offering a potential pathway for advanced simulation capabilities and novel quantum state manipulation. The core mechanism lies in the seamless combination of these two disciplines, promising breakthroughs in the representation and manipulation of quantum states. This work explores the potential for dynamically adjusting topology to encode quantum information and provides a foundation for future research in quantum simulation and topology.