{"title":"两类由缩短的汉明码组成的纠缠辅助量子码","authors":"Jianfa Qian, Lina Zhang","doi":"10.1109/SIPROCESS.2016.7888282","DOIUrl":null,"url":null,"abstract":"Entanglement-assisted quantum error-correcting codes are not only theoretically interesting, but also of great importance in practical physically applications. In this work, two class of entanglement-assisted quantum codes are constructed. The first class of entanglement-assisted quantum codes is minimal ebits entanglement-assisted quantum codes, which require only one copy of maximally entangled state no matter how large the code length is. The second class of entanglement-assisted quantum codes is maximal entanglement entanglement-assisted quantum codes, which can achieve the entanglement-assisted hashing bound asymptotically.","PeriodicalId":142802,"journal":{"name":"2016 IEEE International Conference on Signal and Image Processing (ICSIP)","volume":"39 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2016-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Two class of entanglement-assisted quantum codes from shortened hamming codes\",\"authors\":\"Jianfa Qian, Lina Zhang\",\"doi\":\"10.1109/SIPROCESS.2016.7888282\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Entanglement-assisted quantum error-correcting codes are not only theoretically interesting, but also of great importance in practical physically applications. In this work, two class of entanglement-assisted quantum codes are constructed. The first class of entanglement-assisted quantum codes is minimal ebits entanglement-assisted quantum codes, which require only one copy of maximally entangled state no matter how large the code length is. The second class of entanglement-assisted quantum codes is maximal entanglement entanglement-assisted quantum codes, which can achieve the entanglement-assisted hashing bound asymptotically.\",\"PeriodicalId\":142802,\"journal\":{\"name\":\"2016 IEEE International Conference on Signal and Image Processing (ICSIP)\",\"volume\":\"39 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2016-08-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2016 IEEE International Conference on Signal and Image Processing (ICSIP)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/SIPROCESS.2016.7888282\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2016 IEEE International Conference on Signal and Image Processing (ICSIP)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SIPROCESS.2016.7888282","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Two class of entanglement-assisted quantum codes from shortened hamming codes
Entanglement-assisted quantum error-correcting codes are not only theoretically interesting, but also of great importance in practical physically applications. In this work, two class of entanglement-assisted quantum codes are constructed. The first class of entanglement-assisted quantum codes is minimal ebits entanglement-assisted quantum codes, which require only one copy of maximally entangled state no matter how large the code length is. The second class of entanglement-assisted quantum codes is maximal entanglement entanglement-assisted quantum codes, which can achieve the entanglement-assisted hashing bound asymptotically.
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