论文标题
工程师对微波量子光学元件和单端口状态空间表示的简要介绍
An engineer's brief introduction to microwave quantum optics and a single-port state-space representation
论文作者
论文摘要
经典的微波电路理论无法在量子水平上代表某些现象。为了在处理微波网络时包括量子统计效应，可以采用各种理论处理，例如量子输入输出网络（QION）理论和SLH理论。但是，这些需要对经典微波理论进行重新制定。为了使电气工程师可以理解这些主题，我们在微波工程方面展示了微波量子光学器件的一些基础。例如，我们将传输线（$ v_0^+$）中的旅行波相位等同于Bosonic现场运算符。此外，我们将Qion扩展到一个状态空间表示和单个端口量子网络的传输函数。这是一个案例研究，以突出如何将微波方法应用于开放量子系统中。尽管可以从完整的SLH理论处理中找到相同的结论，但我们的方法直接源自Qion的第一原理。
Classical microwave circuit theory is incapable of representing some phenomena at the quantum level. To include quantum statistical effects when treating microwave networks, various theoretical treatments can be employed such as quantum input-output network (QION) theory and SLH theory. However, these require a reformulation of classical microwave theory. To make these topics comprehensible to an electrical engineer, we demonstrate some underpinnings of microwave quantum optics in terms of microwave engineering. For instance, we equate traveling-wave phasors in a transmission line ($V_0^+$) directly to bosonic field operators. Furthermore, we extend QION to include a state-space representation and a transfer function for a single port quantum network. This serves as a case study to highlight how microwave methodologies can be applied in open quantum systems. Although the same conclusion could be found from a full SLH theory treatment, our method was derived directly from first principles of QION.
