{"title":"来自含赫米特对偶矩阵积码的新量子码","authors":"Jie Liu, Xiusheng Liu","doi":"10.1007/s11128-024-04486-8","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper, we provide a method to construct quantum codes from matrix-product codes which the constituent codes have no restrictions. Then, we construct several classes of quantum codes. Some of our quantum codes are new in the sense that the parameters are different from all the previous constructions. In addition, we have that the lengths of some quantum codes are same from the previous constructions, but these quantum codes have larger dimensions.</p></div>","PeriodicalId":746,"journal":{"name":"Quantum Information Processing","volume":null,"pages":null},"PeriodicalIF":2.2000,"publicationDate":"2024-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"New quantum codes from Hermitian dual-containing matrix-product codes\",\"authors\":\"Jie Liu, Xiusheng Liu\",\"doi\":\"10.1007/s11128-024-04486-8\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In this paper, we provide a method to construct quantum codes from matrix-product codes which the constituent codes have no restrictions. Then, we construct several classes of quantum codes. Some of our quantum codes are new in the sense that the parameters are different from all the previous constructions. In addition, we have that the lengths of some quantum codes are same from the previous constructions, but these quantum codes have larger dimensions.</p></div>\",\"PeriodicalId\":746,\"journal\":{\"name\":\"Quantum Information Processing\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":2.2000,\"publicationDate\":\"2024-07-19\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Quantum Information Processing\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s11128-024-04486-8\",\"RegionNum\":3,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"PHYSICS, MATHEMATICAL\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Quantum Information Processing","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/s11128-024-04486-8","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"PHYSICS, MATHEMATICAL","Score":null,"Total":0}
New quantum codes from Hermitian dual-containing matrix-product codes
In this paper, we provide a method to construct quantum codes from matrix-product codes which the constituent codes have no restrictions. Then, we construct several classes of quantum codes. Some of our quantum codes are new in the sense that the parameters are different from all the previous constructions. In addition, we have that the lengths of some quantum codes are same from the previous constructions, but these quantum codes have larger dimensions.
期刊介绍：
Quantum Information Processing is a high-impact, international journal publishing cutting-edge experimental and theoretical research in all areas of Quantum Information Science. Topics of interest include quantum cryptography and communications, entanglement and discord, quantum algorithms, quantum error correction and fault tolerance, quantum computer science, quantum imaging and sensing, and experimental platforms for quantum information. Quantum Information Processing supports and inspires research by providing a comprehensive peer review process, and broadcasting high quality results in a range of formats. These include original papers, letters, broadly focused perspectives, comprehensive review articles, book reviews, and special topical issues. The journal is particularly interested in papers detailing and demonstrating quantum information protocols for cryptography, communications, computation, and sensing.
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