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On exponential stabilization of two-qubit systems

机译:论双量标系统的指数稳定

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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.
机译:在本文中,我们考虑了一个经历连续时间测量的双量标系统。在存在多个通道的情况下,我们在连续反馈控制法中提供足够的条件,确保几乎肯定指数会聚到预定的钟声状态。这是通过应用随机工具,Lyapunov方法和几何控制工具获得的。通过一个通道,我们建立朝向预定的钟状状态的渐近收敛。在这两种情况下,我们提供了满足上述条件的反馈控制法律的明确表达。最后,我们通过数值模拟证明了我们方法的有效性。

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