Sampled‐data design for robust control of open two‐level quantum systems with operator errors. Issue 18 (1st December 2016)

• Record Type: Journal Article
• Authors: Dong, Daoyi; R. Petersen, Ian; Wang, Yuanlong; Yi, Xuexi; Rabitz, Herschel
• Is Part Of: IET control theory & applications. Volume 10:Issue 18(2016)
• Page Start: 2415
• Page End: 2421
• Publication Date: 2016-12-01
• Subjects: sampled data systems -- robust control -- control system synthesis; robust control -- open two‐level quantum systems -- operator errors -- sampled‐data design method -- sliding mode domain -- approximate amplitude damping decoherence -- approximate phase damping decoherence -- approximate depolarising decoherence; Control theory -- Periodicals; Automatic control -- Periodicals; 629.8312
• DOI: 10.1049/iet-cta.2016.0368
• Languages: English
• ISSNs: 1751-8644

Abstract

Abstract : This study proposes a sampled‐data design method for robust control of open two‐level quantum systems with operator errors. The required control performance is characterised using the concept of a sliding mode domain related to fidelity, coherence or purity. The authors have designed a control law offline and then utilise it online for a two‐level system subject to decoherence with operator errors in the system model. They analyse three cases of approximate amplitude damping decoherence, approximate phase damping decoherence and approximate depolarising decoherence. They design specific sampling periods for these cases that can guarantee the required control performance.