Counterintuitive role of geometry in transport by quantum walks
Counterintuitive role of geometry in transport by quantum walks
复制标题
几何学在量子行走传输中的违反直觉的作用
作者：
J. Mareš;J. Novotny;M. Štefaňák;I. Jex
量子行走被认为是量子输运的一般模型。运输的性质主要取决于步行的性质，如其几何形状和驱动硬币。我们证明，增加源和目标之间的传输距离或添加冗余的分支到实际的图形可能会令人惊讶地导致显着提高传输效率。我们解释分析观察到的非经典效应，使用的概念，捕获状态的几个有趣的几何形状，包括梯形图，凯莱树及其修改。
Quantum walks are accepted as a generic model for quantum transport. The character of the transport crucially depends on the properties of the walk like its geometry and the driving coin. We demonstrate that increasing transport distance between source and target or adding redundant branches to the actual graph may surprisingly result in a significant enhancement of transport efficiency. We explain analytically the observed non-classical effects using the concept of trapped states for several intriguing geometries including the ladder graph, the Cayley tree and its modifications.
影响因子：
3.7
作者：
C. Poltl;C. Emary;T. Brandes
通讯作者：
C. Poltl;C. Emary;T. Brandes