论文标题
为什么以及如何向量子步行添加方向
Why and how to add direction to a quantum walk
论文作者
论文摘要
我们使用Hermitian邻接矩阵对定向（或手性）量子步行进行正式处理，从而弥合了量子信息和光谱图理论中两个发展中的研究领域。我们显示结果和模拟，这些结果和模拟强调了在哈密顿人中编码的指示之间的概念差异。这导致了一种新型的量子现象的构造：连接耦合网络中的成对位点之间的零转移，这只有在我们研究的定向模型中才有可能。我们的主要结果是描述了几个定向循环的家庭，这些循环接收零转移。
We formalize the treatment of directed (or chiral) quantum walks using Hermitian adjacency matrices, bridging two developing fields of research in quantum information and spectral graph theory. We display results and simulations which highlight the conceptual differences between having directions encoded in the Hamiltonians or not. This leads to a construction of a new type of quantum phenomenon: zero transfer between pairs of sites in a connected coupled network, which is only possible in the directed model we study. Our main result is a description of several families of directed cycles that admit zero transfer.
