量子态表征的几何信息测度

IF 0.4 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Annals of Mathematical Sciences and Applications Pub Date : 2019-05-18 DOI:10.4310/amsa.2019.v4.n2.a5

W. Miller, Shahabeddin M. Aslmarand, P. Alsing, V. Rana

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引用次数: 6

摘要

我们分析了一组离散随机变量上的联合分布的几何结构。我们简要回顾了香农熵、条件熵、互信息和条件互信息。我们回顾了Rokhlin和Rajski的熵信息距离公式。然后我们定义了一个类似的信息区域。我们激发了这个定义，并讨论了它的性质。我们将这个定义扩展到更高维度的体积。我们简要讨论了这些几何度量在量子信息处理中的潜在效用。

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Geometric measures of information for quantum state characterization

We analyze the geometry of a joint distribution over a set of discrete random variables. We briefly review Shannon's entropy, conditional entropy, mutual information and conditional mutual information. We review the entropic information distance formula of Rokhlin and Rajski. We then define an analogous information area. We motivate this definition and discuss its properties. We extend this definition to higher-dimensional volumes. We briefly discuss the potential utility for these geometric measures in quantum information processing.

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来源期刊

Annals of Mathematical Sciences and Applications MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-

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