Measurement & Feedback Control of a Two Level System

Abstract: In this bachelor project, the main objective is to investigate how a two-level quantum system can be controlled using weak continuous measurements and feedback control. The Monte-Carlo method was used to simulate the system dynamics under measurement and feedback to investigate how the system state can be controlled. This thesis concludes on how the feedback function impacts the purity of the state, represented by the Bloch vector on a Bloch sphere. The applications of this project extend to quantum information.