Spectral analysis for a multi-dimensional split-step quantum walk with a defect

被引：2

作者：

Fuda, Toru ^{[1
]}

Narimatsu, Akihiro ^{[2
]}

Saito, Kei ^{[3
]}

Suzuki, Akito ^{[4
]}

机构：

[1] Kokushikan Univ, Sch Sci & Engn, Setagaya Ku, Tokyo 1548515, Japan

[2] Yokohama Natl Univ, Grad Sch Sci & Engn, Yokohama, Kanagawa 2408501, Japan

[3] Kanagawa Univ, Fac Engn, Yokohama, Kanagawa 2218686, Japan

[4] Shinshu Univ, Fac Engn, Wakasato, Nagano 3808553, Japan

来源：

QUANTUM STUDIES-MATHEMATICS AND FOUNDATIONS | 2022年 / 9卷 / 01期

关键词：

Quantum walks; Spectral analysis; Localization; Time-averaged limit measure;

D O I：

10.1007/s40509-021-00258-6

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This paper studies the spectrum of a multi-dimensional split-step quantum walk with a defect that cannot be analyzed in previous papers by Fuda et al. (Quantum Inf Process 18:203-226, 2017; J Math Phys 59:082201, 2018). To this end, we have developed a new technique which allow us to use a spectral mapping theorem for the one-defect model. We also derive the time-averaged limit measure for one-dimensional case as an application of the spectral analysis.

引用

页码：93 / 112

页数：20

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