Jessalyn Bolkema;Emma Andrade;Thomas Dexter;Harrison Eggers;Victoria L. Fisher;Luke Szramowsky;Felice Manganiello
{"title":"来自Reed-Muller代码的CSS-T代码","authors":"Jessalyn Bolkema;Emma Andrade;Thomas Dexter;Harrison Eggers;Victoria L. Fisher;Luke Szramowsky;Felice Manganiello","doi":"10.1109/JSAIT.2025.3583217","DOIUrl":null,"url":null,"abstract":"CSS-T codes are a class of stabilizer codes introduced by Rengaswamy et al. with desired properties for quantum fault-tolerance. In this work, we comprehensively study non-degenerate CSS-T codes built from Reed-Muller codes. These classical codes allow for constructing optimal CSS-T code families with nonvanishing asymptotic rates up to <inline-formula> <tex-math>${}\\frac {1}{2}$ </tex-math></inline-formula> and possibly diverging minimum distance when non-degenerate.","PeriodicalId":73295,"journal":{"name":"IEEE journal on selected areas in information theory","volume":"6 ","pages":"199-204"},"PeriodicalIF":0.0000,"publicationDate":"2025-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"CSS-T Codes From Reed-Muller Codes\",\"authors\":\"Jessalyn Bolkema;Emma Andrade;Thomas Dexter;Harrison Eggers;Victoria L. Fisher;Luke Szramowsky;Felice Manganiello\",\"doi\":\"10.1109/JSAIT.2025.3583217\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"CSS-T codes are a class of stabilizer codes introduced by Rengaswamy et al. with desired properties for quantum fault-tolerance. In this work, we comprehensively study non-degenerate CSS-T codes built from Reed-Muller codes. These classical codes allow for constructing optimal CSS-T code families with nonvanishing asymptotic rates up to <inline-formula> <tex-math>${}\\\\frac {1}{2}$ </tex-math></inline-formula> and possibly diverging minimum distance when non-degenerate.\",\"PeriodicalId\":73295,\"journal\":{\"name\":\"IEEE journal on selected areas in information theory\",\"volume\":\"6 \",\"pages\":\"199-204\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2025-06-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"IEEE journal on selected areas in information theory\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://ieeexplore.ieee.org/document/11050903/\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"IEEE journal on selected areas in information theory","FirstCategoryId":"1085","ListUrlMain":"https://ieeexplore.ieee.org/document/11050903/","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
CSS-T codes are a class of stabilizer codes introduced by Rengaswamy et al. with desired properties for quantum fault-tolerance. In this work, we comprehensively study non-degenerate CSS-T codes built from Reed-Muller codes. These classical codes allow for constructing optimal CSS-T code families with nonvanishing asymptotic rates up to ${}\frac {1}{2}$ and possibly diverging minimum distance when non-degenerate.