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Authors: Yuanyuan Zhang 1 ; Shuang Cong 1 and Kezhi Li 2

Affiliations: 1 University of Science and Technology of China, China ; 2 Imperial College London, United Kingdom

Keyword(s): Optimal control, Lyapunov-based control, Quantum systems, Mixed state, Oscillator.

Related Ontology Subjects/Areas/Topics: Biomedical Engineering ; Biomedical Signal Processing ; Cybernetics and User Interface Technologies ; Devices ; Human-Computer Interaction ; Information and Systems Security ; Physiological Computing Systems ; Physiological Processes and Bio-Signal Modeling, Non-Linear Dynamics

Abstract: An optimal control strategy of mixed state steering in finite-dimensional closed quantum systems is proposed in this paper. Two different situations are considered: one is the target state is in statistical incoherent mixtures of energy eigenstates in which the target states are diagonal. Another is not all of the off-diagonal elements in the target states are zeros. We change the trajectory tracking problem into the state steering one by introducing the unitary transformation with all energy eigenstates in the inner Hamiltonian of system controlled. Based on Lyapunov stability theorem the stable parameters of controller designed is selected and the optimality of the control law proposed is proven. Moreover, two numerical system control simulations are performed on the diatomic molecule described by the Morse oscillator model under the control law proposed. The system control simulation experimental results demonstrate that the control strategies proposed are efficient even when the controlled system is not completely controllable. (More)

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Paper citation in several formats:
Zhang, Y.; Cong, S. and Li, K. (2011). OPTIMAL CONTROL OF MIXED-STATE QUANTUM SYSTEMS BASED ON LYAPUNOV METHOD. In Proceedings of the International Conference on Bio-inspired Systems and Signal Processing (BIOSTEC 2011) - BIOSIGNALS; ISBN 978-989-8425-35-5; ISSN 2184-4305, SciTePress, pages 22-30. DOI: 10.5220/0003126000220030

@conference{biosignals11,
author={Yuanyuan Zhang. and Shuang Cong. and Kezhi Li.},
title={OPTIMAL CONTROL OF MIXED-STATE QUANTUM SYSTEMS BASED ON LYAPUNOV METHOD},
booktitle={Proceedings of the International Conference on Bio-inspired Systems and Signal Processing (BIOSTEC 2011) - BIOSIGNALS},
year={2011},
pages={22-30},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0003126000220030},
isbn={978-989-8425-35-5},
issn={2184-4305},
}

TY - CONF

JO - Proceedings of the International Conference on Bio-inspired Systems and Signal Processing (BIOSTEC 2011) - BIOSIGNALS
TI - OPTIMAL CONTROL OF MIXED-STATE QUANTUM SYSTEMS BASED ON LYAPUNOV METHOD
SN - 978-989-8425-35-5
IS - 2184-4305
AU - Zhang, Y.
AU - Cong, S.
AU - Li, K.
PY - 2011
SP - 22
EP - 30
DO - 10.5220/0003126000220030
PB - SciTePress

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