Spectral Stability of Unitary Network Models

Spectral Stability of Unitary Network Models
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酉网络模型的谱稳定性

DOI:
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发表时间:
2015
期刊:
影响因子:
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通讯作者:
A. Joye
A. Joye
中科院分区:
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文献类型:
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作者:
J. Asch;O. Bourget;A. Joye

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我们回顾了量子计算、光谱分析或凝聚态物理中使用的各种幺正网络模型,并建立了它们之间的关系。我们发现,对称的一维量子行走是普遍的,是CMV矩阵。利用酉群理论证明了一般渐近一致模型的谱稳定性和传播性质。
We review various unitary network models used in quantum computing, spectral analysis or condensed matter physics and establish relationships between them. We show that symmetric one dimensional quantum walks are universal, as are CMV matrices. We prove spectral stability and propagation properties for general asymptotically uniform models by means of unitary Mourre theory.
DOI: 10.1126/science.1174436
发表时间: 2009-07-10
期刊: SCIENCE
影响因子: 56.9
作者:
Karski, Michal;Foerster, Leonid;Widera, Artur
通讯作者: Widera, Artur