Uniform stationary measure of space-inhomogeneous quantum walks in one dimension

Autor:	Ide, Yusuke, Konno, Norio, Nakayama, Daichi
Rok vydání:	2018
Předmět:	Quantum Physics
Druh dokumentu:	Working Paper
Popis:	The discrete-time quantum walk (QW) is a quantum version of the random walk (RW) and has been widely investigated for the last two decades. Some remarkable properties of QW are well known. For example, QW has a ballistic spreading, i.e., QW is quadratically faster than RW. For some cases, localization occurs: a walker stays at the starting position forever. In this paper, we consider stationary measures of two-state QWs on the line. It was shown that for any space-homogeneous model, the uniform measure becomes the stationary measure. However, the corresponding result for space-inhomogeneous model is not known. Here, we present a class of space-inhomogeneous QWs on the line and cycles in which the uniform measure is stationary. Furthermore, we briefly discuss a difference between QWs and RWs. Comment: 9 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1810.12504 Zobrazit plný text záznamu View this record from Arxiv