{"title":"On Marton's Achievable Region: Local Tensorization for Product Channels with a Binary Component","authors":"Chandra Nair","doi":"10.1109/ITA50056.2020.9244997","DOIUrl":null,"url":null,"abstract":"We show that Marton's achievable rate region for product broadcast channels with one binary component satisfies a property called local tensorization. If a corresponding global tensorization property held for the same setting, then this would be equivalent to showing the optimality of Marton's achievable region for any two receiver broadcast channel with binary inputs.","PeriodicalId":137257,"journal":{"name":"2020 Information Theory and Applications Workshop (ITA)","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2020-02-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2020 Information Theory and Applications Workshop (ITA)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ITA50056.2020.9244997","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2
Abstract
We show that Marton's achievable rate region for product broadcast channels with one binary component satisfies a property called local tensorization. If a corresponding global tensorization property held for the same setting, then this would be equivalent to showing the optimality of Marton's achievable region for any two receiver broadcast channel with binary inputs.
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