格拉斯曼码弦积行列式的统计表征

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-04-27 DOI:10.1093/imaiai/iaad035

Javier Álvarez-Vizoso, Carlos Beltrán, Diego Cuevas, Ignacio Santamaría, Vít Tuček, Gunnar Peters

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引用次数: 0

摘要

摘要:我们考虑弦积行列式，它是两个相同维数的子空间之间距离的度量。在信息论中，搜索复杂格拉斯曼群中的元素集合时，要求它们的成对弦积尽可能大。我们从统计的角度描述了这个函数，这使我们能够获得这些集合的最小弦积和相关能量的界限。

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Statistical characterization of the chordal product determinant of Grassmannian codes

Abstract We consider the chordal product determinant, a measure of the distance between two subspaces of the same dimension. In information theory, collections of elements in the complex Grassmannian are searched with the property that their pairwise chordal products are as large as possible. We characterize this function from an statistical perspective, which allows us to obtain bounds for the minimal chordal product and related energy of such collections.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.