Quantum-Induced Geometric Topology Control
Jincheng Zhang
Abstract
Quantum-induced geometric topology control offers a fundamentally new approach to manipulating the geometry of quantum systems. This paper explores the design of a framework, termed "Quantum Topology Sculpting," utilizing quantum measurements to reshape the geometry of a quantum system. The core mechanism involves a carefully orchestrated sequence of quantum transformations, aiming to generate novel and controllable topological phenomena. We demonstrate the framework's potential for creating complex geometries and exploring beyond traditional control methods. This research focuses on the principles behind generating and maintaining topology through quantum measurements, offering a pathway to manipulating the fundamental properties of quantum states.