期刊
QUANTUM INFORMATION PROCESSING
卷 11, 期 5, 页码 1251-1269出版社
SPRINGER
DOI: 10.1007/s11128-012-0406-7
关键词
Random quantum walks; Dynamical localization; Fractional moments estimates
资金
- Agence Nationale de la Recherche [ANR-09-BLAN-0098-01]
- Agence Nationale de la Recherche (ANR) [ANR-09-BLAN-0098] Funding Source: Agence Nationale de la Recherche (ANR)
We consider a d-dimensional random quantum walk with site-dependent random coin operators. The corresponding transition coefficients are characterized by deterministic amplitudes times independent identically distributed site-dependent random phases. When the deterministic transition amplitudes are close enough to those of a quantum walk which forbids propagation, we prove that dynamical localization holds for almost all random phases. This instance of Anderson localization implies that all quantum mechanical moments of the position operator are uniformly bounded in time and that spectral localization holds, almost surely.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据