Z2n上四元环切开术的量子可同步码

IF 1.3 4区 物理与天体物理 Q3 PHYSICS, MULTIDISCIPLINARY
Arun Kumar Yadav, Manju Pruthi, Vipin Kumar
{"title":"Z2n上四元环切开术的量子可同步码","authors":"Arun Kumar Yadav,&nbsp;Manju Pruthi,&nbsp;Vipin Kumar","doi":"10.1007/s10773-023-05390-0","DOIUrl":null,"url":null,"abstract":"<div><p>In this study, we construct a 4-order generalized cyclotomic over<i>Z</i><sub>2<i>n</i></sub>, and obtained that the resulting codes are dual-containing cyclic codes and their augmented counterparts. Additionally, under some circumstances, this work helps to create two types of quantum synchronization capabilities that can achieve the upper limit. Furthermore, the quantum synchronizable codes have a strong capacity for error correction, both in terms of bit errors and phase errors.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"62 6","pages":""},"PeriodicalIF":1.3000,"publicationDate":"2023-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Quantum Synchronizable Codes from Quaternary Cyclotomy over Z2n\",\"authors\":\"Arun Kumar Yadav,&nbsp;Manju Pruthi,&nbsp;Vipin Kumar\",\"doi\":\"10.1007/s10773-023-05390-0\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In this study, we construct a 4-order generalized cyclotomic over<i>Z</i><sub>2<i>n</i></sub>, and obtained that the resulting codes are dual-containing cyclic codes and their augmented counterparts. Additionally, under some circumstances, this work helps to create two types of quantum synchronization capabilities that can achieve the upper limit. Furthermore, the quantum synchronizable codes have a strong capacity for error correction, both in terms of bit errors and phase errors.</p></div>\",\"PeriodicalId\":597,\"journal\":{\"name\":\"International Journal of Theoretical Physics\",\"volume\":\"62 6\",\"pages\":\"\"},\"PeriodicalIF\":1.3000,\"publicationDate\":\"2023-05-31\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Theoretical Physics\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s10773-023-05390-0\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"PHYSICS, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Theoretical Physics","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/s10773-023-05390-0","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0

摘要

本文构造了一个4阶广义分环码overZ2n,得到了其编码是双含循环码及其增广对应物。此外,在某些情况下,这项工作有助于创建两种可以达到上限的量子同步能力。此外,量子同步码在比特错误和相位错误方面都具有很强的纠错能力。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Quantum Synchronizable Codes from Quaternary Cyclotomy over Z2n

In this study, we construct a 4-order generalized cyclotomic overZ2n, and obtained that the resulting codes are dual-containing cyclic codes and their augmented counterparts. Additionally, under some circumstances, this work helps to create two types of quantum synchronization capabilities that can achieve the upper limit. Furthermore, the quantum synchronizable codes have a strong capacity for error correction, both in terms of bit errors and phase errors.

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
CiteScore
2.50
自引率
21.40%
发文量
258
审稿时长
3.3 months
期刊介绍: International Journal of Theoretical Physics publishes original research and reviews in theoretical physics and neighboring fields. Dedicated to the unification of the latest physics research, this journal seeks to map the direction of future research by original work in traditional physics like general relativity, quantum theory with relativistic quantum field theory,as used in particle physics, and by fresh inquiry into quantum measurement theory, and other similarly fundamental areas, e.g. quantum geometry and quantum logic, etc.
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信