Design and realization of quantum feedback systems

本研究的主题是设计或实现具有光学系统的量子系统，以显示量子滤波器理论或量子控制理论的有效性。特别是，实际的目标是澄清系统的量子态估计或产生和保持量子纠缠态的量子滤波器理论和反馈控制理论的基础上的不可缺少的属性。本研究的结果是详细说明一个量子光学系统，一个由量子光学系统和自旋系统组成的组合系统，以及相应的控制策略。我们还成功地导出了相应的量子滤波器方程。利用这个方程，我们可以通过实际实验证明量子态估计的有效性，或者通过数值模拟证明反馈系统可以产生纠缠态。此外，我们还可以证明量子反馈系统的可控性。

The main theme of this research is to design or realize quantum systems with optics systems for showing the effectiveness of the quantum filter theory or the quantum control theory. In particular, the actual objective is to clarify the indispensable property of systems for the quantum state estimations or generating and holding quantum entangled states based on the quantum filter theory and the feedback control theory. The results of this research is to specify a quantum optics system, a combined system composed of a quantum optics system and a spin system, and the corresponding control strategies. We also succeed to derive the corresponding quantum filter equations. With this equations, we can show the effectiveness of the quantum state estimation by the actual experiments or that the feedback systems can generate the entangled states by numerical simulations. Moreover, we can also prove the controllability of a quantum feedback system.