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Effects of uncertainties and errors on Lyapunov control

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arxiv 1010.2088 v1 pith:ETRIIZTC submitted 2010-10-11 quant-ph

classification quant-ph
keywords controlerrorsuncertaintieslyapunoveffectssystemanalysisanalyze
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Lyapunov control (open-loop) is often confronted with uncertainties and errors in practical applications. In this paper, we analyze the robustness of Lyapunov control against the uncertainties and errors in quantum control systems. The analysis is carried out through examinations of uncertainties and errors, calculations of the control fidelity under influences of the certainties and errors, as well as discussions on the caused effects. Two examples, a closed control system and an open control system, are presented to illustrate the general formulism.

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