拓扑量子器件中的纽结与信号传输
Knots and signal transmission in topological quantum devices
摘要：
本文从拓扑理论的角度讨论了量子力学中信号传输的基本问题。利用纽结图和量子振幅之间的类比，我们计算了实现纽结拓扑的概念拓扑量子器件的传输系数。我们观察到，这个问题是在不同的方式类似于量子图上的传输。所需的传输或滤波特性可以通过改变器件的拓扑结构或外部参数来实现，在我们的模型中，外部参数控制拓扑相位。一个有趣的属性的传输系数是存在的“自平均”阶段，其中的传输系数的值是独立于所有的代表在一个选定的家庭的结。我们简要地讨论物理实现的概念设备。
英文摘要：
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.
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