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Open Quantum Systems Decoherence
Quantum Simulation
Analysis of Effectiveness of Lyapunov Control for Non-generic Quantum States
arXiv
Authors: Xiaoting Wang, Sonia Schirmer
Year
2009
Paper ID
9122
Status
Preprint
Abstract Read
~2 min
Abstract Words
77
Citations
N/A
Abstract
A Lyapunov-based control design for natural trajectory-tracking problems is analyzed for quantum states where the analysis in the generic case is not applicable. Using dynamical systems tools we show almost global asymptotic stability for stationary target states subject to certain conditions on the Hamiltonians, and discuss effectiveness of the design when these conditions are not satisfied. For pseudo-pure target states the effectiveness of the design is studied further for both stationary and non-stationary states using alternative tools.
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- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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- A Lyapunov-based control design for natural trajectory-tracking problems is analyzed for quantum states where the analysis in the generic case is not applicable.
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