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

{"title":"全息熵锥的两个无限面族","authors":"Bartlomiej Czech, Yu Liu, Bo Yu","doi":"10.21468/scipostphys.17.3.084","DOIUrl":null,"url":null,"abstract":"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.","PeriodicalId":21682,"journal":{"name":"SciPost Physics","volume":"7 1","pages":""},"PeriodicalIF":4.6000,"publicationDate":"2024-09-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Two infinite families of facets of the holographic entropy cone\",\"authors\":\"Bartlomiej Czech, Yu Liu, Bo Yu\",\"doi\":\"10.21468/scipostphys.17.3.084\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"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.\",\"PeriodicalId\":21682,\"journal\":{\"name\":\"SciPost Physics\",\"volume\":\"7 1\",\"pages\":\"\"},\"PeriodicalIF\":4.6000,\"publicationDate\":\"2024-09-19\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"SciPost Physics\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.21468/scipostphys.17.3.084\",\"RegionNum\":2,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"PHYSICS, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"SciPost Physics","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.21468/scipostphys.17.3.084","RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}

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。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

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.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

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

期刊介绍： SciPost Physics publishes breakthrough research articles in the whole field of Physics, covering Experimental, Theoretical and Computational approaches. Specialties covered by this Journal: - Atomic, Molecular and Optical Physics - Experiment - Atomic, Molecular and Optical Physics - Theory - Biophysics - Condensed Matter Physics - Experiment - Condensed Matter Physics - Theory - Condensed Matter Physics - Computational - Fluid Dynamics - Gravitation, Cosmology and Astroparticle Physics - High-Energy Physics - Experiment - High-Energy Physics - Theory - High-Energy Physics - Phenomenology - Mathematical Physics - Nuclear Physics - Experiment - Nuclear Physics - Theory - Quantum Physics - Statistical and Soft Matter Physics.

期刊最新文献

Two infinite families of facets of the holographic entropy cone Higher-form symmetry and chiral transport in real-time Abelian lattice gauge theory Flux-tunable Kitaev chain in a quantum dot array General quantum-classical dynamics as measurement based feedback Riemannian optimization of photonic quantum circuits in phase and Fock space