Chen Tian, Zhang Xiangdong
School of Physics, Beijing Institute of Technology, 100081, Beijing, China.
Sci Rep. 2016 May 24;6:25767. doi: 10.1038/srep25767.
We study the localization of probability distribution in a discrete quantum random walk on an infinite chain. With a phase defect introduced in any position of the quantum random walk (QRW), we have found that the localization of the probability distribution in the QRW emerges. Different localized behaviors of the probability distribution in the QRW are presented when the defect occupies different positions. Given that the coefficients of the localized stationary eigenstates relies on the coin operator, we reveal that when the defect occupies different positions, the amplitude of localized probability distribution in the QRW exhibits a non-trivial dependence on the coin operator.
我们研究了无限链上离散量子随机游走中概率分布的局域化。在量子随机游走（QRW）的任意位置引入一个相位缺陷后，我们发现QRW中概率分布的局域化出现了。当缺陷占据不同位置时，QRW中概率分布呈现出不同的局域行为。鉴于局域稳态本征态的系数依赖于硬币算符，我们揭示出当缺陷占据不同位置时，QRW中局域概率分布的幅度对硬币算符呈现出非平凡的依赖性。
