Quantum Entanglement-Based Dynamic Topological Optimization for Information Encoding and Decoding
Jincheng Zhang
Abstract
This paper explores a novel approach to quantum information encoding and decoding by leveraging the dynamic topology of quantum entanglement. Traditional quantum information processing methods largely rely on static entangled states, potentially limiting information transmission rates. We propose a system architecture incorporating multiple controlled quantum bits (qubits) exhibiting dynamic entanglement. Through precise manipulation of qubit positions and interactions, we harness the topological changes within the entanglement to encode and decode information. A topological optimization algorithm is then introduced, continuously adjusting the system's qubit topology based on information transmission efficiency and entanglement stability criteria. The core claim is that this dynamic topological control enables optimization of the encoding and decoding process, potentially surpassing the classical information transmission limit. The fundamental mechanisms involve exploiting the temporal evolution of entanglement, coupled with a feedback control loop driven by topological optimization. Mathematical formulations are presented to describe the key components of the system, including the entanglement entropy, the topological optimization objective function, and the dynamics of the qubit positions. This work represents a significant step toward realizing more efficient and robust quantum information networks. ---