{"title":"Z2n上四元环切开术的量子可同步码","authors":"Arun Kumar Yadav, Manju Pruthi, 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, Manju Pruthi, 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}
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.
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.
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