Quantum Information Topology
Jincheng Zhang
Abstract
Quantum information, the fundamental building block of modern computation, possesses unique topological properties that profoundly impact its stability and robustness. This research delves into a novel mathematical framework, Quantum Information Topology, to better understand and quantify these topological aspects. We propose a new conceptualization of entanglement as a geometric entity, leveraging concepts from topology and geometry to derive rigorous predictions about the behavior of quantum systems. This framework seeks to provide a more comprehensive and predictive model for the evolution of quantum information, moving beyond traditional approaches that often fall short in capturing these intricate relationships. The core claim is that this framework will offer a deeper understanding of the topology of quantum information and its influence on system stability.