On exponential stabilization of two-qubit systems

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.
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https://hal.archives-ouvertes.fr/hal-02176223
Contributor : Paolo Mason <>
Submitted on : Sunday, July 7, 2019 - 11:03:46 PM
Last modification on : Monday, July 15, 2019 - 9:01:24 AM

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  • HAL Id : hal-02176223, version 1
  • ARXIV : 1903.07470

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Weichao Liang, Nina Amini, Paolo Mason. On exponential stabilization of two-qubit systems. 2019. ⟨hal-02176223⟩

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