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arXiv · 0806.1643

Effect of feedback on the control of a two-level dissipative quantum system

L. C. Wang·X. L. Huang·X. X. Yi
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Abstract

We show that it is possible to modify the stationary state by a feedback control in a two-level dissipative quantum system. Based on the geometric control theory, we also analyze the effect of the feedback on the time-optimal control in the dissipative system governed by the Lindblad master equation. These effects are reflected in the function $\Delta_A(\vec{x})$ and $\Delta_B(\vec{x})$ that characterize the optimal trajectories, as well as the switching function $\Phi(t)$ and $\theta(t),$ which characterize the switching point in time for the time-optimal trajectory.

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L. C. Wang, X. L. Huang, X. X. Yi. 2008-06-10. Effect of feedback on the control of a two-level dissipative quantum system. https://doi.org/10.1103/physreva.78.052112

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