{"title":"Constructios of l-adic t-deletion-correcting quantum codes","authors":"R. Matsumoto, M. Hagiwara","doi":"10.1587/transfun.2021EAP1034","DOIUrl":null,"url":null,"abstract":"SUMMARY We propose two systematic constructions of deletion-correcting codes for protecting quantum inforomation. The first one works with qudits of any dimension ‘ , which is re- ferred to as ‘ -adic, but only one deletion is corrected and the constructed codes are asymptotically bad. The second one cor- rects multiple deletions and can construct asymptotically good codes. The second one also allows conversion of stabilizer-based quantum codes to deletion-correcting codes, and entanglement","PeriodicalId":348826,"journal":{"name":"IEICE Trans. Fundam. Electron. Commun. Comput. Sci.","volume":"25 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2021-02-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"IEICE Trans. Fundam. Electron. Commun. Comput. Sci.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1587/transfun.2021EAP1034","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
SUMMARY We propose two systematic constructions of deletion-correcting codes for protecting quantum inforomation. The first one works with qudits of any dimension ‘ , which is re- ferred to as ‘ -adic, but only one deletion is corrected and the constructed codes are asymptotically bad. The second one cor- rects multiple deletions and can construct asymptotically good codes. The second one also allows conversion of stabilizer-based quantum codes to deletion-correcting codes, and entanglement
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