Disordered quantum walks in two-dimensional lattices

doi:10.1088/1674-1056/24/1/010303

Abstract

The properties of the two-dimensional quantum walk with point, line, and circle disorders in phase are reported. Localization is observed in the two-dimensional quantum walk with certain phase disorder and specific initial coin states. We give an explanation of the localization behavior via the localized stationary states of the unitary operator of the walker + coin system and the overlap between the initial state of the whole system and the localized stationary states.

Keywords: quantum walk Anderson localization phase disorder

Received: 04 May 2014
Revised: 04 August 2014
Accepted manuscript online:

PACS:	03.67.Lx	(Quantum computation architectures and implementations)
	05.40.Fb	(Random walks and Levy flights)
	71.23.-k	(Electronic structure of disordered solids)
	05.45.Mt	(Quantum chaos; semiclassical methods)

Fund:

Project supported by the National Natural Science Foundation of China (Grant No. 11174052), the National Basic Research Program of China (Grant No. 2011CB921203), and the Open Fund from the State Key Laboratory of Precision Spectroscopy of East China Normal University.

Corresponding Authors: Xue Peng
E-mail: gnep.eux@gmail.com

Cite this article:

Zhang Rong(张融), Xu Yun-Qiu(徐韵秋), Xue Peng(薛鹏) Disordered quantum walks in two-dimensional lattices 2015 Chin. Phys. B 24 010303

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