利用挤压福克态进行纠错

IF 2.2 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL
S. B. Korolev, E. N. Bashmakova, T. Yu. Golubeva
{"title":"利用挤压福克态进行纠错","authors":"S. B. Korolev,&nbsp;E. N. Bashmakova,&nbsp;T. Yu. Golubeva","doi":"10.1007/s11128-024-04549-w","DOIUrl":null,"url":null,"abstract":"<div><p>The paper addresses the construction of an error correction code for quantum computations based on squeezed Fock states. It is shown that the use of squeezed Fock states makes it possible to satisfy the Knill-Laflamme (KL) criteria for bosonic error correction codes. It is shown that the first squeezed Fock state corrects both particle loss and dephasing errors better than higher-order states. A comparison of the proposed code with a code based on the squeezed Schrodinger’s cat states is carried out on the basis of the KL cost function. Using this function, we show that the squeezed first Fock state is competitive in protecting information in a channel with particle loss and dephasing.</p></div>","PeriodicalId":746,"journal":{"name":"Quantum Information Processing","volume":"23 10","pages":""},"PeriodicalIF":2.2000,"publicationDate":"2024-10-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Error correction using squeezed Fock states\",\"authors\":\"S. B. Korolev,&nbsp;E. N. Bashmakova,&nbsp;T. Yu. Golubeva\",\"doi\":\"10.1007/s11128-024-04549-w\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>The paper addresses the construction of an error correction code for quantum computations based on squeezed Fock states. It is shown that the use of squeezed Fock states makes it possible to satisfy the Knill-Laflamme (KL) criteria for bosonic error correction codes. It is shown that the first squeezed Fock state corrects both particle loss and dephasing errors better than higher-order states. A comparison of the proposed code with a code based on the squeezed Schrodinger’s cat states is carried out on the basis of the KL cost function. Using this function, we show that the squeezed first Fock state is competitive in protecting information in a channel with particle loss and dephasing.</p></div>\",\"PeriodicalId\":746,\"journal\":{\"name\":\"Quantum Information Processing\",\"volume\":\"23 10\",\"pages\":\"\"},\"PeriodicalIF\":2.2000,\"publicationDate\":\"2024-10-18\",\"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/s11128-024-04549-w\",\"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/s11128-024-04549-w","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}
引用次数: 0

摘要

论文探讨了基于挤压福克态的量子计算纠错码的构建。研究表明,使用挤压福克态可以满足玻色纠错码的克尼尔-拉夫拉姆(KL)标准。结果表明,第一个挤压福克态比高阶态能更好地纠正粒子丢失和退相错误。在 KL 成本函数的基础上,对所提出的编码与基于挤压薛定谔猫态的编码进行了比较。利用该函数,我们表明,在有粒子损耗和去相的信道中,挤压第一福克态在保护信息方面具有竞争力。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Error correction using squeezed Fock states

The paper addresses the construction of an error correction code for quantum computations based on squeezed Fock states. It is shown that the use of squeezed Fock states makes it possible to satisfy the Knill-Laflamme (KL) criteria for bosonic error correction codes. It is shown that the first squeezed Fock state corrects both particle loss and dephasing errors better than higher-order states. A comparison of the proposed code with a code based on the squeezed Schrodinger’s cat states is carried out on the basis of the KL cost function. Using this function, we show that the squeezed first Fock state is competitive in protecting information in a channel with particle loss and dephasing.

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
Quantum Information Processing
Quantum Information Processing 物理-物理:数学物理
CiteScore
4.10
自引率
20.00%
发文量
337
审稿时长
4.5 months
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.
×
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