Title: Topological Quantum Entanglement Dynamics (TQED)
Jincheng Zhang
Abstract
The pursuit of quantum information processing necessitates robust and stable entanglement, a state where multiple particles are correlated in a way that defies classical description. Traditional entanglement protocols frequently exhibit limitations in long-term stability, hindering the exploration of complex quantum systems. This paper introduces Topological Quantum Entanglement Dynamics (TQED), a novel framework centered on dynamically evolving topological defects within a highly complex, multi-scale quantum system. We propose a self-stabilizing algorithm that utilizes gradient-based methods to continuously optimize the entanglement topology, addressing the core challenge of long-term stability in quantum computation. The proposed approach leverages the inherent topological properties of the system, providing a mechanism for self-correcting entanglement and opening up new avenues for computational paradigms.