论文标题
在半线上限制时间相关的量子步行
Limit distribution of a time-dependent quantum walk on the half line
论文作者
论文摘要
我们专注于本文一半线上的2周期时间依赖性量子步行。量子步行者以局部叠加状态在半线的边缘发射，其时间演变是通过两个单一操作进行的，这些操作交替施放到量子行走。结果，长期限制量子步行的概率转弯均由两个操作中的任何一个，但并非两者都确定。更有趣的是，限制发现概率与局部初始状态无关。我们将通过线路上的量子步道接近欣赏的功能，该功能能够在半线上重现时间相关的步行。
We focus on a 2-period time-dependent quantum walk on the half line in this paper. The quantum walker launches at the edge of the half line in a localized superposition state and its time evolution is carried out with two unitary operations which are alternately cast to the quantum walk. As a result, long-time limit finding probabilities of the quantum walk turn to be determined by either one of the two operations, but not both. More interestingly, the limit finding probabilities are independent from the localized initial state. We will approach the appreciated features via a quantum walk on the line which is able to reproduce the time-dependent walk on the half line.
