论文标题
拓扑量子设备中的结和信号传输
Knots and signal transmission in topological quantum devices
论文作者
论文摘要
我们讨论量子力理论中量子力学中信号传播的基本问题。使用结图和量子幅度之间的类比，我们计算了实现结拓扑的概念拓扑量子设备的传输系数。我们观察到，问题的方式与量子图上的传输相似。所需的传输或过滤属性可以通过设备拓扑的变化或外部参数的变化来实现，或者在我们的模型中控制拓扑阶段。传输系数的一个有趣特性是存在“自动化”阶段，其中传输系数的价值独立于所选的结中的所有代表。我们简要讨论概念设备的物理实现。
We discuss the basic problem of signal transmission in quantum mechanics in terms of topological theories. Using the analogy between knot diagrams and quantum amplitudes we calculate the transmission coefficients of the concept topological quantum devices that realize the knot topology. We observe that the problem is in different ways similar to that of transmission on quantum graphs. The desired transmission or filtering properties can be attained by the variation of the topology of the device, or an external parameter, which in our model controls the topological phase. One interesting property of the transmission coefficients is the existence of "self-averaging" phases, in which the value of the transmission coefficient is independent from all the representatives in a chosen family of knots. We briefly discuss physical realizations of the concept devices.
