全息熵锥的两个无限面族

IF 4.6 2区物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY

SciPost Physics Pub Date : 2024-09-19 DOI:10.21468/scipostphys.17.3.084

Bartlomiej Czech, Yu Liu, Bo Yu

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引用次数: 0

摘要

我们验证了最近证明的全息熵不等式无穷族是最大紧密的，即它们是全息熵锥的面。这个证明是技术性的，但它提供了一些启发式的见解。在星形图上，这两组不等式都量化了作用于子系统的二面对称信息的集中/扩散程度。此外，以 K 为基础的环不等式显示了四方和六方完美张量之间有趣的相互作用。

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Two infinite families of facets of the holographic entropy cone

We verify that the recently proven infinite families of holographic entropy inequalities are maximally tight, i.e. they are facets of the holographic entropy cone. The proof is technical but it offers some heuristic insight. On star graphs, both families of inequalities quantify how concentrated/spread information is with respect to a dihedral symmetry acting on subsystems. In addition, toric inequalities viewed in the K-basis show an interesting interplay between four-party and six-party perfect tensors.

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来源期刊

SciPost Physics Physics and Astronomy-Physics and Astronomy (all)

CiteScore

8.20

自引率

12.70%

发文量

315

审稿时长

10 weeks

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