Weak limit theorem of a two-phase quantum walk with one defect
Weak limit theorem of a two-phase quantum walk with one defect
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具有一个缺陷的两相量子行走的弱极限定理
DOI：
10.4036/iis.2016.r.01
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发表时间：
2014
期刊：
影响因子：
--
通讯作者：
Masato Takei
中科院分区：
文献类型：
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作者：
Shimpei Endo;T. Endo;N. Konno;E. Segawa;Masato Takei
我们试图分析一个在原点有一个缺陷的一维空间非均匀量子行走，它在正、负部分有两个不同的量子硬币。我们称量子阱为“两相量子阱”，我们在局部化定理[10]中处理过。两相量子阱被认为是拓扑绝缘体的数学模型[16]，这在理论和实验上都是一个激烈的问题[3，5，11]。本文导出了描述弹道传播的弱极限定理，并由此得到了渐近行为全貌的数学表达式。我们的方法主要是基于生成函数的通道的重量。我们强调时间平均极限测度对于原点是对称的[10]，然而，弱极限测度是不对称的，这意味着弱极限定理表示概率分布的不对称性。
We attempt to analyze a one-dimensional space-inhomogeneous quantum walk (QW) with one defect at the origin, which has two different quantum coins in positive and negative parts. We call the QW "the two-phase QW", which we treated concerning localization theorems [10]. The two-phase QW has been expected to be a mathematical model of the topological insulator [16] which is an intense issue both theoretically and experimentally [3,5,11]. In this paper, we derive the weak limit theorem describing the ballistic spreading, and as a result, we obtain the mathematical expression of the whole picture of the asymptotic behavior. Our approach is based mainly on the generating function of the weight of the passages. We emphasize that the time-averaged limit measure is symmetric for the origin [10], however, the weak limit measure is asymmetric, which implies that the weak limit theorem represents the asymmetry of the probability distribution.
影响因子：
2.9
作者：
Yutaka Shikano;Kota Chisaki;E. Segawa;N. Konno
通讯作者：
Yutaka Shikano;Kota Chisaki;E. Segawa;N. Konno
Wojcik 模型的弱收敛
DOI：
--
发表时间：
2015
期刊：
Yokohama Mathematical Journal
影响因子：
--
作者：
Takuya Machida;C. M. Chandrashekar;Norio Konno and Thomas Busch;Norio Konno and Masato Takei;Takako Endo and Norio Konno;Takako Endo and Norio Konno
通讯作者：
Takako Endo and Norio Konno
非均匀量子行走中的局域化和对偶性
DOI：
--
发表时间：
2010
期刊：
影响因子：
--
作者：
鹿野豊;桂法称
通讯作者：
桂法称