Open AccessSampled‐data design for robust control of open two‐level quantum systems with operator errors
Author(s) -
Dong Daoyi,
R. Petersen Ian,
Wang Yuanlong,
Yi Xuexi,
Rabitz Herschel
Publication year - 2016
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2016.0368
Subject(s) - quantum decoherence , control theory (sociology) , coherence (philosophical gambling strategy) , operator (biology) , fidelity , computer science , robust control , quantum , control (management) , control system , mathematics , engineering , physics , quantum mechanics , artificial intelligence , statistics , telecommunications , biochemistry , chemistry , electrical engineering , repressor , transcription factor , gene
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.