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arXiv:1903.07470 · IEEE Conference on Decision and Control (CDC)

On exponential stabilization of two-qubit systems

Weichao Liang, Nina H. Amini, Paolo Mason

Published Dec 1, 2019• 7 citations
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Abstract

In this paper, we consider a two-qubit system undergoing continuous-time measurements. In presence of multiple channels, we provide sufficient conditions on the continuous feedback control law ensuring almost sure exponential convergence to a predetermined Bell state. This is obtained by applying stochastic tools, Lyapunov methods and geometric control tools. With one channel, we establish asymptotic convergence towards a predetermined Bell state. In both cases, we provide explicit expressions of feedback control laws satisfying the above-mentioned conditions. Finally, we demonstrate the effectiveness of our methodology through numerical simulations.

DOI
10.1109/cdc40024.2019.9029957

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