Feedback Control of Quantum Systems to Stabilize Superposition States

• 成果类型: Article
• 署名作者: Daeichian, Abolghasem
• 署名单位: Arak University
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2023.3237504
• 发表日期: 2023
• 页码: 6417-6422
• 关键词: Quantum feedback control; quantum filter; super-position of coherent states; superposition states; two-level quantum system

摘要

As a specific trait of quantum mechanics, quantum superposition is exploited in many applications, such as quantum computation. This article proposes a feedback scheme to stabilize the desired quantum superposition states. To this aim, a new factorization is derived for the stochastic master equation of a quantum system which is driven by the field in the superposition of coherent states. Then, a feedback scheme is proposed, which consists of a quantum system driven by the field in the superposition of coherent states and a classical feedback channel proportional to the observations of a Homodyne detector. Afterward, the quantum filter of the closed loop system is attained using the SLH framework. Finally, the factorization of the closed loop quantum filter is obtained and the control law is calculated such that the proposed factorization satisfies the stabilization condition. Finally, as an example, the control method is simulated for a two-level atom and the stabilization of the superposition states is achieved.