论文标题
限制定理和三个状态量子步行的定位
Limit theorems and localization of three state quantum walks on a line defined by generalized Grover coins
论文作者
论文摘要
在本文中，我们进行了一项详细的研究，对具有概括的Grover Coins在一个维晶格上的三州离散时间步行的限制行为。证明了两个限制定理，因此我们表明，量子步行在其初始位置显示出定位，对于广泛的硬币参数。最后，我们讨论了硬币参数对基础量子步行概率分布的峰值速度的影响。
In this article, we undertake a detailed study of the limiting behavior of a three-state discrete-time quantum walk on one dimensional lattice with generalized Grover coins. Two limit theorems are proved and consequently we show that the quantum walk exhibits localization at its initial position, for a wide range of coin parameters. Finally, we discuss the effect of the coin parameters on the peak velocities of probability distributions of the underlying quantum walks.
